A Robust and High Precision Algorithm for Elastic Scattering Problems from Cornered Domains

The Navier equation is the governing equation of elastic waves, and computing its solution accurately and rapidly has a wide range of applications in geophysical exploration, materials science, etc. In this paper, we focus on the efficient and high-precision numerical algorithm for the time harmonic...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of scientific computing Vol. 98; no. 3; p. 65
Main Authors:	Yao, Jianan, Xie, Baoling, Lai, Jun
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.03.2024 Springer Nature B.V
Subjects:	Algorithms Asymptotic properties Boundary integral method Boundary value problems Computational Mathematics and Numerical Analysis Decomposition Domains Eigenvalues Elastic scattering Elastic waves Integral equations Integrals Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Nondestructive testing Numerical analysis Operators (mathematics) Preconditioning Radiation Robustness (mathematics) Smooth boundaries Theoretical Wave scattering Nyström method Elastic wave scattering RCIP method 65R20 45L05 75B05 Kernel-splitting method 35J05 Navier equations 45E05 Boundary integral equations
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	The Navier equation is the governing equation of elastic waves, and computing its solution accurately and rapidly has a wide range of applications in geophysical exploration, materials science, etc. In this paper, we focus on the efficient and high-precision numerical algorithm for the time harmonic elastic wave scattering problems from cornered domains via the boundary integral equations in two dimensions. The approach is based on the combination of Nyström discretization, analytical singular integrals and kernel-splitting method, which results in a high-order solver for smooth boundaries. It is then combined with the recursively compressed inverse preconditioning (RCIP) method to solve elastic scattering problems from cornered domains. Numerical experiments demonstrate that the proposed approach achieves high accuracy, with stabilized errors close to machine precision in various geometric configurations. The algorithm is further applied to investigate the asymptotic behavior of density functions associated with boundary integral operators near corners, and the numerical results are highly consistent with the theoretical formulas.
AbstractList	The Navier equation is the governing equation of elastic waves, and computing its solution accurately and rapidly has a wide range of applications in geophysical exploration, materials science, etc. In this paper, we focus on the efficient and high-precision numerical algorithm for the time harmonic elastic wave scattering problems from cornered domains via the boundary integral equations in two dimensions. The approach is based on the combination of Nyström discretization, analytical singular integrals and kernel-splitting method, which results in a high-order solver for smooth boundaries. It is then combined with the recursively compressed inverse preconditioning (RCIP) method to solve elastic scattering problems from cornered domains. Numerical experiments demonstrate that the proposed approach achieves high accuracy, with stabilized errors close to machine precision in various geometric configurations. The algorithm is further applied to investigate the asymptotic behavior of density functions associated with boundary integral operators near corners, and the numerical results are highly consistent with the theoretical formulas.
ArticleNumber	65
Author	Lai, Jun Yao, Jianan Xie, Baoling
Author_xml	– sequence: 1 givenname: Jianan surname: Yao fullname: Yao, Jianan organization: School of Mathematical Sciences, Zhejiang University – sequence: 2 givenname: Baoling surname: Xie fullname: Xie, Baoling organization: School of Mathematical Sciences, Zhejiang University – sequence: 3 givenname: Jun orcidid: 0000-0002-3044-5583 surname: Lai fullname: Lai, Jun email: laijun6@zju.edu.cn organization: School of Mathematical Sciences, Zhejiang University
BookMark	eNp9kE1LAzEQhoNUsK3-AU8Bz6uTbLbZHEutVhAUP04eQjadbVN2NzVJD_57t1YQPPQwDAPvMzM8IzLofIeEXDK4ZgDyJjJQrMiAi30VeQYnZMgKmWdyotiADKEsi0wKKc7IKMYNAKhS8SH5mNIXX-1ioqZb0oVbrelzQOui8x2dNisfXFq3tPaBzhsTk7P01ZqUMLhu1Ud91WAbaR18S2c-dBhwSW99a1wXz8lpbZqIF799TN7v5m-zRfb4dP8wmz5mNmcqZUqirYUEwGJZl9VEMqygkByZELaCfs4NtyVXhiMKyVhVVUsBNSsVA6xtPiZXh73b4D93GJPe-F3o-pOaKz7JRcGl6lP8kLLBxxiw1tvgWhO-NAO9l6gPEnUvUP9I1NBD5T_IumRSLycF45rjaH5A43bvCsPfV0eob6PgiCA
CitedBy_id	crossref_primary_10_3934_ipi_2025014
Cites_doi	10.1137/17M1162238 10.1016/j.jcp.2021.110714 10.1073/pnas.1609578113 10.1016/S0022-247X(02)00161-0 10.1137/080737046 10.1137/18M1232814 10.1137/1.9781611972030 10.1007/s00220-014-2030-0 10.1109/TAP.2013.2258317 10.1090/mcom/3660 10.1016/j.acha.2011.03.002 10.1016/j.jcp.2013.11.009 10.1016/j.jcp.2009.09.004 10.1007/978-3-642-97146-4 10.1088/1361-6420/ac8ac7 10.1016/j.jcp.2017.07.032 10.1137/18M1227263 10.1016/j.jcp.2008.06.022 10.1137/1.9781611973167 10.23943/princeton/9780691165318.001.0001 10.1007/978-3-540-68545-6 10.1137/15M1028248 10.1007/s00211-022-01273-4 10.1155/2013/938167 10.1137/23M1571666 10.1007/s10444-022-09935-5 10.1016/j.jcp.2014.08.047 10.1002/mma.7980 10.1017/CBO9780511626340 10.1007/BF01385616
ContentType	Journal Article
Copyright	The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
Copyright_xml	– notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
DBID	AAYXX CITATION 8FE 8FG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ JQ2 K7- P5Z P62 PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI
DOI	10.1007/s10915-024-02453-0
DatabaseName	CrossRef ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One ProQuest Central Korea ProQuest Central Student SciTech Collection (ProQuest) ProQuest Computer Science Collection Computer Science Database (ProQuest) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection Proquest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition
DatabaseTitle	CrossRef Advanced Technologies & Aerospace Collection Computer Science Database ProQuest Central Student Technology Collection ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central Advanced Technologies & Aerospace Database ProQuest One Applied & Life Sciences ProQuest One Academic UKI Edition ProQuest Central Korea ProQuest Central (New) ProQuest One Academic ProQuest One Academic (New)
DatabaseTitleList	Advanced Technologies & Aerospace Collection
Database_xml	– sequence: 1 dbid: P5Z name: Advanced Technologies & Aerospace Database url: https://search.proquest.com/hightechjournals sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Sciences (General) Mathematics
EISSN	1573-7691
ExternalDocumentID	10_1007_s10915_024_02453_0
GrantInformation_xml	– fundername: National Natural Science Foundation of China grantid: U21A20425; 12371427 funderid: http://dx.doi.org/10.13039/501100001809 – fundername: Key Technologies Research and Development Program grantid: 2023YFA1009100 funderid: http://dx.doi.org/10.13039/501100012165
GroupedDBID	-52 -5D -5G -BR -EM -Y2 -~C -~X .86 .DC .VR 06D 0R~ 0VY 199 1N0 1SB 2.D 203 28- 29L 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 53G 5GY 5QI 5VS 67Z 6NX 78A 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTD ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFFNX AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AI. AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BAPOH BBWZM BDATZ BENPR BGLVJ BGNMA BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG F5P FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ H~9 I09 IHE IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K7- KDC KOV KOW LAK LLZTM M4Y MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P9R PF- PT4 PT5 QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW VH1 W23 W48 WH7 WK8 YLTOR Z45 Z5O Z7R Z7S Z7X Z7Y Z7Z Z83 Z86 Z88 Z8M Z8N Z8T Z92 ZMTXR ZWQNP ~A9 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION PHGZM PHGZT PQGLB 8FE 8FG AZQEC DWQXO GNUQQ JQ2 P62 PKEHL PQEST PQQKQ PQUKI
ID	FETCH-LOGICAL-c319t-97ecf4700e5df8b671eb0572e144cb06713a2c829a2ee4711bbbd40f18910efc3
IEDL.DBID	RSV
ISICitedReferencesCount	1
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001161626000002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0885-7474
IngestDate	Thu Nov 06 12:27:32 EST 2025 Sat Nov 29 01:56:32 EST 2025 Tue Nov 18 22:09:48 EST 2025 Fri Feb 21 02:40:30 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	3
Keywords	Nyström method Elastic wave scattering RCIP method 65R20 45L05 75B05 Kernel-splitting method 35J05 Navier equations 45E05 Boundary integral equations
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c319t-97ecf4700e5df8b671eb0572e144cb06713a2c829a2ee4711bbbd40f18910efc3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0002-3044-5583
PQID	2926345279
PQPubID	2043771
ParticipantIDs	proquest_journals_2926345279 crossref_primary_10_1007_s10915_024_02453_0 crossref_citationtrail_10_1007_s10915_024_02453_0 springer_journals_10_1007_s10915_024_02453_0
PublicationCentury	2000
PublicationDate	20240300 2024-03-00 20240301
PublicationDateYYYYMMDD	2024-03-01
PublicationDate_xml	– month: 3 year: 2024 text: 20240300
PublicationDecade	2020
PublicationPlace	New York
PublicationPlace_xml	– name: New York
PublicationTitle	Journal of scientific computing
PublicationTitleAbbrev	J Sci Comput
PublicationYear	2024
Publisher	Springer US Springer Nature B.V
Publisher_xml	– name: Springer US – name: Springer Nature B.V
References	FanbinBLinJReitichFA fast and high-order method for the three-dimensional elastic wave scattering problemJ. Comput. Phys.20142588568702014JCoPh.258..856B314531010.1016/j.jcp.2013.11.009 LaiJDongHA fast solver for elastic scattering from axisymmetric objects by boundary integral equationsAdv. Comput. Math.2022483130440982610.1007/s10444-022-09935-5 LiPYuanXAn adaptive finite element DtN method for the elastic wave scattering problemNumer. Math.20221509931033440568910.1007/s00211-022-01273-4 HelsingJOjalaRCorner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioningJ. Comput. Phys.200822720882088402008JCoPh.227.8820H245953710.1016/j.jcp.2008.06.022 LaiJZhangJFast inverse elastic scattering of multiple particles in three dimensionsInverse Problems202238102022InvPr..38j4002L448246910.1088/1361-6420/ac8ac7 Bao, G, Hua, W, Lai, J, Zhang, J: Singularity swapping method for nearly singular integrals based on trapezoidal rule. arXiv:2305.05855, 2023 Le LouërFA high order spectral algorithm for elastic obstacle scattering in three dimensionsJ. Comput. Phys.20142791172014JCoPh.279....1L326709310.1016/j.jcp.2014.08.047 HelsingJJiangSSolving fredholm second-kind integral equations with singular right-hand sides on non-smooth boundariesJ. Comput. Phys.2022448431934210.1016/j.jcp.2021.110714 Grisvard, P: Elliptic Problems in Nonsmooth Domains. Society for Industrial and Applied Mathematics, (2011) BochniakMCakoniFDomain sensitivity analysis of the elastic far-field patterns in scattering from nonsmooth obstaclesJ. Math. Anal. Appl.20022721318334193071710.1016/S0022-247X(02)00161-0 Helsing, J: Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial. 2013, 938167 (2013) AtkinsonKEThe numerical solution of integral equations of the second kind1997LondonCambridge University Press10.1017/CBO9780511626340 AmmariHBretinEGarnierJKangHLeeHWahabAMathematical Methods in Elasticity Imaging2015PrincetonPrinceton University Press10.23943/princeton/9780691165318.001.0001 HsiaoGCWendlandWLBoundary integral equations2008ChamSpringer10.1007/978-3-540-68545-6 DongHLaiJLiPInverse obstacle scattering problem for elastic waves with phased or phaseless far-field dataSIAM J. Imaging Sci.201812280983810.1137/18M1227263 SändigA-MRichterUSändigRThe regularity of boundary value problems for the lamê equations in a polygonal domainRostock. Math. Kolloqu.19893601 BremerJOn the nyström discretization of integral equations on planar curves with cornersAppl. Comput. Harmon. Anal.20123214564285416110.1016/j.acha.2011.03.002 EpsteinCLO’NeilMSmoothed corners and scattered wavesSIAM J. Sci. Comput.2016385A2665A2698354316010.1137/15M1028248 BaoGLiweiXYinTAn accurate boundary element method for the exterior elastic scattering problem in two dimensionsJ. Comput. Phys.20173483433632017JCoPh.348..343B368963610.1016/j.jcp.2017.07.032 HelsingJJiangSOn integral equation methods for the first dirichlet problem of the biharmonic and modified biharmonic equations in nonsmooth domainsSIAM J. Sci. Comput.2018404A2609A2630384527710.1137/17M1162238 KupradzeVDGegeliaTGBasheleishviliMOBurchuladzeTVThree-dimensional problems of the mathematical theory of elasticity and thermoelasticity1979AmsterdamNorth-Holland Publishing Company SerkhKRokhlinVOn the solution of the helmholtz equation on regions with cornersProc. Natl. Acad. Sci.2016113917191762016PNAS..113.9171S35428671:CAS:528:DC%2BC28Xht1Gru7vJ10.1073/pnas.1609578113274821104995988 Colton, D, Kress, R: Integral equation methods in scattering theory. Society for Industrial and Applied Mathematics, (2013) LaiJLiPA framework for simulation of multiple elastic scattering in two dimensionsSIAM J. Sci. Comput.2019415A3276A3299402127510.1137/18M1232814 DongHLaiJLiPA highly accurate boundary integral method for the elastic obstacle scattering problemMath. Comput.20209027852814430536910.1090/mcom/3660 OlverFWJLozierDaniel WBoisvertRFClarkCWCambridge University Press2010LondonNIST handbook of mathematical functions BremerJGimbutasZRokhlinVA nonlinear optimization procedure for generalized gaussian quadraturesSIAM J. Sci. Comput.201032417611788267129610.1137/080737046 KressRLinear integral equations1989ChamSpringer10.1007/978-3-642-97146-4 HelsingJIntegral equation methods for elliptic problems with boundary conditions of mixed typeJ. Comput. Phys.200922823889289072009JCoPh.228.8892H255878310.1016/j.jcp.2009.09.004 Anjam NadeemYAliAOn singularities of solution of the elasticity system in a bounded domain with angular corner pointsMath. Methods Appl. Sci.202245531243143439564410.1002/mma.7980 KressRA Nyström method for boundary integral equations in domains with cornersNumer. Math.199058145161106927610.1007/BF01385616 BlåstenEPäivärintaLSylvesterJCorners always scatterCommun. Math. Phys.20123317257532014CMaPh.331..725B323852910.1007/s00220-014-2030-0 HelsingJKarlssonAAn accurate boundary value problem solver applied to scattering from cylinders with cornersIEEE Trans. Antennas Propag.2013617369337002013ITAP...61.3693H308008610.1109/TAP.2013.2258317 M Bochniak (2453_CR6) 2002; 272 VD Kupradze (2453_CR24) 1979 KE Atkinson (2453_CR2) 1997 J Lai (2453_CR25) 2022; 48 J Bremer (2453_CR7) 2012; 32 P Li (2453_CR29) 2022; 150 E Blåsten (2453_CR5) 2012; 331 J Helsing (2453_CR17) 2018; 40 A-M Sändig (2453_CR32) 1989; 36 J Bremer (2453_CR8) 2010; 32 J Helsing (2453_CR15) 2009; 228 G Bao (2453_CR4) 2017; 348 B Fanbin (2453_CR9) 2014; 258 Y Anjam Nadeem (2453_CR30) 2022; 45 FWJ Olver (2453_CR31) 2010 J Helsing (2453_CR18) 2022; 448 J Lai (2453_CR27) 2022; 38 J Helsing (2453_CR19) 2013; 61 2453_CR10 GC Hsiao (2453_CR21) 2008 2453_CR3 H Dong (2453_CR11) 2018; 12 F Le Louër (2453_CR28) 2014; 279 R Kress (2453_CR22) 1989 2453_CR16 K Serkh (2453_CR33) 2016; 113 2453_CR14 CL Epstein (2453_CR13) 2016; 38 J Helsing (2453_CR20) 2008; 227 H Ammari (2453_CR1) 2015 H Dong (2453_CR12) 2020; 90 R Kress (2453_CR23) 1990; 58 J Lai (2453_CR26) 2019; 41
References_xml	– reference: Anjam NadeemYAliAOn singularities of solution of the elasticity system in a bounded domain with angular corner pointsMath. Methods Appl. Sci.202245531243143439564410.1002/mma.7980 – reference: OlverFWJLozierDaniel WBoisvertRFClarkCWCambridge University Press2010LondonNIST handbook of mathematical functions – reference: SerkhKRokhlinVOn the solution of the helmholtz equation on regions with cornersProc. Natl. Acad. Sci.2016113917191762016PNAS..113.9171S35428671:CAS:528:DC%2BC28Xht1Gru7vJ10.1073/pnas.1609578113274821104995988 – reference: BaoGLiweiXYinTAn accurate boundary element method for the exterior elastic scattering problem in two dimensionsJ. Comput. Phys.20173483433632017JCoPh.348..343B368963610.1016/j.jcp.2017.07.032 – reference: BremerJGimbutasZRokhlinVA nonlinear optimization procedure for generalized gaussian quadraturesSIAM J. Sci. Comput.201032417611788267129610.1137/080737046 – reference: KressRLinear integral equations1989ChamSpringer10.1007/978-3-642-97146-4 – reference: KressRA Nyström method for boundary integral equations in domains with cornersNumer. Math.199058145161106927610.1007/BF01385616 – reference: HelsingJIntegral equation methods for elliptic problems with boundary conditions of mixed typeJ. Comput. Phys.200922823889289072009JCoPh.228.8892H255878310.1016/j.jcp.2009.09.004 – reference: HelsingJJiangSSolving fredholm second-kind integral equations with singular right-hand sides on non-smooth boundariesJ. Comput. Phys.2022448431934210.1016/j.jcp.2021.110714 – reference: HelsingJOjalaRCorner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioningJ. Comput. Phys.200822720882088402008JCoPh.227.8820H245953710.1016/j.jcp.2008.06.022 – reference: Grisvard, P: Elliptic Problems in Nonsmooth Domains. Society for Industrial and Applied Mathematics, (2011) – reference: HelsingJJiangSOn integral equation methods for the first dirichlet problem of the biharmonic and modified biharmonic equations in nonsmooth domainsSIAM J. Sci. Comput.2018404A2609A2630384527710.1137/17M1162238 – reference: LaiJLiPA framework for simulation of multiple elastic scattering in two dimensionsSIAM J. Sci. Comput.2019415A3276A3299402127510.1137/18M1232814 – reference: LiPYuanXAn adaptive finite element DtN method for the elastic wave scattering problemNumer. Math.20221509931033440568910.1007/s00211-022-01273-4 – reference: AmmariHBretinEGarnierJKangHLeeHWahabAMathematical Methods in Elasticity Imaging2015PrincetonPrinceton University Press10.23943/princeton/9780691165318.001.0001 – reference: AtkinsonKEThe numerical solution of integral equations of the second kind1997LondonCambridge University Press10.1017/CBO9780511626340 – reference: HsiaoGCWendlandWLBoundary integral equations2008ChamSpringer10.1007/978-3-540-68545-6 – reference: DongHLaiJLiPA highly accurate boundary integral method for the elastic obstacle scattering problemMath. Comput.20209027852814430536910.1090/mcom/3660 – reference: KupradzeVDGegeliaTGBasheleishviliMOBurchuladzeTVThree-dimensional problems of the mathematical theory of elasticity and thermoelasticity1979AmsterdamNorth-Holland Publishing Company – reference: Le LouërFA high order spectral algorithm for elastic obstacle scattering in three dimensionsJ. Comput. Phys.20142791172014JCoPh.279....1L326709310.1016/j.jcp.2014.08.047 – reference: BlåstenEPäivärintaLSylvesterJCorners always scatterCommun. Math. Phys.20123317257532014CMaPh.331..725B323852910.1007/s00220-014-2030-0 – reference: FanbinBLinJReitichFA fast and high-order method for the three-dimensional elastic wave scattering problemJ. Comput. Phys.20142588568702014JCoPh.258..856B314531010.1016/j.jcp.2013.11.009 – reference: Colton, D, Kress, R: Integral equation methods in scattering theory. Society for Industrial and Applied Mathematics, (2013) – reference: LaiJZhangJFast inverse elastic scattering of multiple particles in three dimensionsInverse Problems202238102022InvPr..38j4002L448246910.1088/1361-6420/ac8ac7 – reference: Bao, G, Hua, W, Lai, J, Zhang, J: Singularity swapping method for nearly singular integrals based on trapezoidal rule. arXiv:2305.05855, 2023 – reference: BochniakMCakoniFDomain sensitivity analysis of the elastic far-field patterns in scattering from nonsmooth obstaclesJ. Math. Anal. Appl.20022721318334193071710.1016/S0022-247X(02)00161-0 – reference: EpsteinCLO’NeilMSmoothed corners and scattered wavesSIAM J. Sci. Comput.2016385A2665A2698354316010.1137/15M1028248 – reference: Helsing, J: Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial. 2013, 938167 (2013) – reference: BremerJOn the nyström discretization of integral equations on planar curves with cornersAppl. Comput. Harmon. Anal.20123214564285416110.1016/j.acha.2011.03.002 – reference: DongHLaiJLiPInverse obstacle scattering problem for elastic waves with phased or phaseless far-field dataSIAM J. Imaging Sci.201812280983810.1137/18M1227263 – reference: LaiJDongHA fast solver for elastic scattering from axisymmetric objects by boundary integral equationsAdv. Comput. Math.2022483130440982610.1007/s10444-022-09935-5 – reference: HelsingJKarlssonAAn accurate boundary value problem solver applied to scattering from cylinders with cornersIEEE Trans. Antennas Propag.2013617369337002013ITAP...61.3693H308008610.1109/TAP.2013.2258317 – reference: SändigA-MRichterUSändigRThe regularity of boundary value problems for the lamê equations in a polygonal domainRostock. Math. Kolloqu.19893601 – volume: 40 start-page: A2609 issue: 4 year: 2018 ident: 2453_CR17 publication-title: SIAM J. Sci. Comput. doi: 10.1137/17M1162238 – volume: 448 year: 2022 ident: 2453_CR18 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2021.110714 – volume: 113 start-page: 9171 year: 2016 ident: 2453_CR33 publication-title: Proc. Natl. Acad. Sci. doi: 10.1073/pnas.1609578113 – volume: 272 start-page: 318 issue: 1 year: 2002 ident: 2453_CR6 publication-title: J. Math. Anal. Appl. doi: 10.1016/S0022-247X(02)00161-0 – volume: 32 start-page: 1761 issue: 4 year: 2010 ident: 2453_CR8 publication-title: SIAM J. Sci. Comput. doi: 10.1137/080737046 – volume: 41 start-page: A3276 issue: 5 year: 2019 ident: 2453_CR26 publication-title: SIAM J. Sci. Comput. doi: 10.1137/18M1232814 – ident: 2453_CR14 doi: 10.1137/1.9781611972030 – volume: 331 start-page: 725 year: 2012 ident: 2453_CR5 publication-title: Commun. Math. Phys. doi: 10.1007/s00220-014-2030-0 – volume: 61 start-page: 3693 issue: 7 year: 2013 ident: 2453_CR19 publication-title: IEEE Trans. Antennas Propag. doi: 10.1109/TAP.2013.2258317 – volume: 90 start-page: 2785 year: 2020 ident: 2453_CR12 publication-title: Math. Comput. doi: 10.1090/mcom/3660 – volume-title: Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity year: 1979 ident: 2453_CR24 – volume: 32 start-page: 45 issue: 1 year: 2012 ident: 2453_CR7 publication-title: Appl. Comput. Harmon. Anal. doi: 10.1016/j.acha.2011.03.002 – volume: 258 start-page: 856 year: 2014 ident: 2453_CR9 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2013.11.009 – volume: 228 start-page: 8892 issue: 23 year: 2009 ident: 2453_CR15 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2009.09.004 – volume-title: Linear integral equations year: 1989 ident: 2453_CR22 doi: 10.1007/978-3-642-97146-4 – volume: 38 issue: 10 year: 2022 ident: 2453_CR27 publication-title: Inverse Problems doi: 10.1088/1361-6420/ac8ac7 – volume: 348 start-page: 343 year: 2017 ident: 2453_CR4 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2017.07.032 – volume: 12 start-page: 809 issue: 2 year: 2018 ident: 2453_CR11 publication-title: SIAM J. Imaging Sci. doi: 10.1137/18M1227263 – volume: 227 start-page: 8820 issue: 20 year: 2008 ident: 2453_CR20 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2008.06.022 – ident: 2453_CR10 doi: 10.1137/1.9781611973167 – volume-title: Mathematical Methods in Elasticity Imaging year: 2015 ident: 2453_CR1 doi: 10.23943/princeton/9780691165318.001.0001 – volume-title: Boundary integral equations year: 2008 ident: 2453_CR21 doi: 10.1007/978-3-540-68545-6 – volume: 38 start-page: A2665 issue: 5 year: 2016 ident: 2453_CR13 publication-title: SIAM J. Sci. Comput. doi: 10.1137/15M1028248 – volume: 150 start-page: 993 year: 2022 ident: 2453_CR29 publication-title: Numer. Math. doi: 10.1007/s00211-022-01273-4 – volume: 36 start-page: 01 year: 1989 ident: 2453_CR32 publication-title: Rostock. Math. Kolloqu. – ident: 2453_CR16 doi: 10.1155/2013/938167 – ident: 2453_CR3 doi: 10.1137/23M1571666 – volume-title: Cambridge University Press year: 2010 ident: 2453_CR31 – volume: 48 start-page: 1 issue: 3 year: 2022 ident: 2453_CR25 publication-title: Adv. Comput. Math. doi: 10.1007/s10444-022-09935-5 – volume: 279 start-page: 1 year: 2014 ident: 2453_CR28 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2014.08.047 – volume: 45 start-page: 3124 issue: 5 year: 2022 ident: 2453_CR30 publication-title: Math. Methods Appl. Sci. doi: 10.1002/mma.7980 – volume-title: The numerical solution of integral equations of the second kind year: 1997 ident: 2453_CR2 doi: 10.1017/CBO9780511626340 – volume: 58 start-page: 145 year: 1990 ident: 2453_CR23 publication-title: Numer. Math. doi: 10.1007/BF01385616
SSID	ssj0009892
Score	2.3688452
Snippet	The Navier equation is the governing equation of elastic waves, and computing its solution accurately and rapidly has a wide range of applications in...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	65
SubjectTerms	Algorithms Asymptotic properties Boundary integral method Boundary value problems Computational Mathematics and Numerical Analysis Decomposition Domains Eigenvalues Elastic scattering Elastic waves Integral equations Integrals Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Nondestructive testing Numerical analysis Operators (mathematics) Preconditioning Radiation Robustness (mathematics) Smooth boundaries Theoretical Wave scattering
SummonAdditionalLinks	– databaseName: Advanced Technologies & Aerospace Database dbid: P5Z link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8QwEA6-Dl7U9YHrixw8KBps03aTnGTxgQdZFh8geihJmurCbqtt9fc76aYWBb146KnpEDozmUky830I7etAwboYRURxLkmYyoQI6TGS8ihUikkRTnFmr9lgwB8exNAduJWurLJZE-uFOsm1PSM_oYL2gjCiTJy-vhHLGmVvVx2FxiyatygJlrphGD22oLu8JkUGR4oIpM2ha5pxrXPCt73JoX2igHjfA1Obbf64IK3jzuXyf2e8gpZcxon7UxPpoBmTraKO8-kSHzjg6cM19NTHN7l6LyssswTbChA8LBwHD-6Pn0F49TLBkObiC0i6QR6-1TU-J8wchtbUNCW2HSv4LC8ySwOKz_OJHGXlOrq_vLg7uyKOfIFo8MqKCGZ0GjLPM1GSctVjvlGQ21EDOzCtIMb5gaSaUyGpMRDhfKVUEnqpzyEBMakONtBclmdmE2EpYY_kS8oTKmBECgbAKdOBFkYHLOh1kd_8-Vg7ZHJLkDGOW0xlq60YNBXX2oq9Ljr6-uZ1isvx5-idRkWx89EybvXTRceNktvXv0vb-lvaNlqktV3ZQrUdNFcV72YXLeiPalQWe7WFfgKM3Om8 priority: 102 providerName: ProQuest
Title	A Robust and High Precision Algorithm for Elastic Scattering Problems from Cornered Domains
URI	https://link.springer.com/article/10.1007/s10915-024-02453-0 https://www.proquest.com/docview/2926345279
Volume	98
WOSCitedRecordID	wos001161626000002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1573-7691 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0009892 issn: 0885-7474 databaseCode: P5Z dateStart: 19970301 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Computer Science Database (ProQuest) customDbUrl: eissn: 1573-7691 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0009892 issn: 0885-7474 databaseCode: K7- dateStart: 19970301 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1573-7691 dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0009892 issn: 0885-7474 databaseCode: BENPR dateStart: 19970301 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLink Journals customDbUrl: eissn: 1573-7691 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0009892 issn: 0885-7474 databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1BT9swFH4asMM4bAOG6AaVDxxAYClxkto-dqxo0kZVFTYhdohsx4FKJUFJ2O_fc-pQmLZJ45Bc8mJZz35-n2W_7wPYN5HGdTFJqBZC0ThXGZUq4DQXSaw1VzJe8Mx-5eOxuLyUE18UVne33bsjyXalflTsJkNXTRy7J4kobtTXMN0JJ9gwPf--pNoVrRQyhk9CESzHvlTmz208TUdLjPnbsWibbU7fPK-fb-G1R5dkuJgOG_DCFpuwfvZAzVpvwoaP5poceMrpwy34MSTTUt_XDVFFRtzdDzKpvPoOGc6vy2rW3NwSBLhkhHAbWyLnpmXmxJ6haStKUxNXq0JOyqpwAqDkU3mrZkX9Dr6dji5OPlMvu0ANxmNDJbcmj3kQ2CTLhR7w0GpEdczi3stozG5hpJgRTCpmLea2UGudxUEeCoQeNjfRNqwWZWF3gCiFu6NQMZExiRY5Dr1g3ERGWhPxaNCDsPN-ajwnuZPGmKdLNmXnzRQ9mbbeTIMeHD38c7dg5Pin9W43qKmPzjplkg2iOGFc9uC4G8Tl57-39v7_zD_AK9bOA3dlbRdWm-re7sFL87OZ1VUf1j6OxpNpH1a-cIrvSXLVb2fyLx1r524
linkProvider	Springer Nature
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6VggQXoDzElgI-gAQCi8R21vYBoVUfarXLqoIiVeIQbMehldqkbFIQf4rfyDjrEIFEbz1wyCnOSLa_Gc_EM_MBPHXcol3MMmqVMlSUpqDaJJKWKhPWSqPFss_sTM7n6vBQ76_Az74WJqRV9jaxM9RF7cI_8tdMszEXGZP67dlXGlijwu1qT6GxhMXU__iOIVvzZm8L9_cZYzvbB5u7NLIKUIdwa6mW3pVCJonPilLZsUy9RaeFeQwtnEXjnXLDnGLaMO_RdKfW2kIkZarwZPWl4yj3ClwVXMmgV1NJhya_qiNhRsXNKLrpIhbpxFI9nYZaaBGejNPkz4Nw8G7_upDtzrmdW__bCt2Gm9GjJpOlCqzBiq_uwFq0WQ15Hhtrv7gLnybkfW3Pm5aYqiAhw4XsLyLHEJmcfMHJtEenBN14so1BBcojH1zXfxRXCod21DsNCRU5ZLNeVIHmlGzVp-a4au7Bx0uZ5H1YrerKPwBiDMaAqWGqYBpHlAhwxaTjTnvHJR-PIO13Onex83ogADnJh57RAR05IiPv0JEnI3j5-5uzZd-RC0dv9JDIow1q8gEPI3jVg2p4_W9p6xdLewLXdw_ezfLZ3nz6EG6wDtMhKW8DVtvFuX8E19y39rhZPO60g8DnywbbL4XSRno
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwEB5VtEJwKK8itrx86AFELRLHWdvHFbBqBV2teAmJQ2Q7TrsSJCgJ_f2Ms1kWEFSqOOSUiWV5ZjLfyDPfAHyzkcH_YhxTI6WmPNMpVToQNJMxN0Zoxcc8sydiMJBXV2r4pIu_qXafXEmOexo8S1Ne79-l2f6TxjcV-s5i7p84opi0f-S-kN7n62eXU9pd2YxFRleKKQJn3rbNvL7G89A0xZsvrkibyNNfeP-eF-FzizpJb2wmS_DB5csw_-uRsrVahqXWyyuy01JR767AdY-cFua-qonOU-JrQsiwbKfykN7N76Ic1X9uCQJfcoQwHFciZ7Zh7MRdomgzrKYivoeFHBRl7geDksPiVo_y6gtc9I_OD37QdhwDteinNVXC2YyLIHBxmknTFaEziPaYw5zMGox6YaSZlUxp5hzGvNAYk_IgCyVCEpfZaBVm8iJ3a0C0xqwp1EymTKFEhiYhmbCRVc5GIup2IJxoIrEtV7kfmXGTTFmW_WkmeJJJc5pJ0IG9x2_uxkwd_5TemCg4ab22Sphi3YjHTKgOfJ8odPr67dW-_p_4NswOD_vJyc_B8TrMscYkfFXbBszU5b3bhE_2bz2qyq3GmB8AQfnvzA
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Robust+and+High+Precision+Algorithm+for+Elastic+Scattering+Problems+from+Cornered+Domains&rft.jtitle=Journal+of+scientific+computing&rft.au=Yao%2C+Jianan&rft.au=Xie%2C+Baoling&rft.au=Lai%2C+Jun&rft.date=2024-03-01&rft.issn=0885-7474&rft.eissn=1573-7691&rft.volume=98&rft.issue=3&rft_id=info:doi/10.1007%2Fs10915-024-02453-0&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10915_024_02453_0
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0885-7474&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0885-7474&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0885-7474&client=summon