Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018
This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer Nature
2020
Springer International Publishing AG |
| Edition: | 1 |
| Series: | Open Access E-Books |
| Subjects: | |
| ISBN: | 3030396479, 9783030396473, 3030396460, 9783030396466 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions. |
|---|---|
| AbstractList | This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions. |
| Author | Moxey, David Vincent, Peter E Schwab, Christoph Peiró, Joaquim Sherwin, Spencer J |
| Author_xml | – sequence: 1 fullname: Sherwin, Spencer J – sequence: 2 fullname: Moxey, David – sequence: 3 fullname: Peiró, Joaquim – sequence: 4 fullname: Vincent, Peter E – sequence: 5 fullname: Schwab, Christoph |
| BookMark | eNqF0E1Lw0AQBuCIH2hr_8Mignoo7Fd2m2NtqxVaU6h4DZtktomN2XY3rf5810bEm8xhGHh4Yd5OcFKbGo6CDsN-IsFldPz3OAs6hEc0IoRxeR70nHvDGFNOMRnwi2Cx3EDWWFUhVedoWq4KFNscLJpDU5jcIW0sWijblJ6MS63BQn04JtudakpTO_Q0ipfDaTxH35mXwalWlYPez-4Grw-Tl9G0P4sfn0bDWV8xIgaffYpVRhkBECTVTGiRSc0hxzSEECIluNJUUSJpppimPM04kzQMZQ6QikjnrBtct8FmDza35R6S1Ji1S-LxM8YEY8lEJD27a5lya_hwhakal-wraG0kB79VMW9vWruxZrsD1yQHlvmPfUPJ5H4kfG9YCi9v_5GMSMZZyD29ammmnKrKukzeTW1WVm0Kl4RcMCop-wKRwYPR |
| ContentType | eBook |
| DBID | I4C AHRNR |
| DEWEY | 515 |
| DatabaseName | Casalini Torrossa eBooks Institutional Catalogue OverDrive Ebooks |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISBN | 3030396479 9783030396473 |
| Edition | 1 |
| Editor | Peiró, Joaquim Moxey, David Sherwin, Spencer J |
| Editor_xml | – sequence: 1 fullname: Moxey, David – sequence: 2 fullname: Peiró, Joaquim – sequence: 3 fullname: Sherwin, Spencer J |
| ExternalDocumentID | ODN0010073697 9783030396473 EBC6420076 EBC31734354 5463272 |
| Genre | Electronic books |
| GroupedDBID | 38. A7I AABBV AAKKN AALJR AAQKC ABEEZ ABONR ACBPT ACGCR ADOGT AEKFX AGWHU AIQUZ AIYYB ALMA_UNASSIGNED_HOLDINGS ALNDD AZTDL BBABE CBBXP CYNQG CZZ EIXGO ESBCR I4C IEZ IGLKH OAOFD OPOMJ SBO TPJZQ V1H Z7R Z88 AEHEY AHRNR AERTL AAJYQ AATVQ ABCYT ACDUY AHNNE ATJMZ |
| ID | FETCH-LOGICAL-a3168x-20ac231ee61bf36f6c7f4ed025e5e9a64af2a2172ca3f24bc4372557deeb69fd3 |
| ISBN | 3030396479 9783030396473 3030396460 9783030396466 |
| IngestDate | Fri Jul 04 04:35:38 EDT 2025 Tue Apr 22 02:29:28 EDT 2025 Fri May 30 23:07:13 EDT 2025 Mon Aug 11 05:55:51 EDT 2025 Sun May 11 05:58:17 EDT 2025 |
| IsPeerReviewed | false |
| IsScholarly | false |
| LCCallNum_Ident | QA |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-a3168x-20ac231ee61bf36f6c7f4ed025e5e9a64af2a2172ca3f24bc4372557deeb69fd3 |
| Notes | Electronic reproduction. Dordrecht: Springer, 2020. Requires the Libby app or a modern web browser. |
| OCLC | 1492911347 1191076815 |
| PQID | EBC31734354 |
| PageCount | 949 |
| ParticipantIDs | overdrive_books_ODN0010073697 askewsholts_vlebooks_9783030396473 proquest_ebookcentral_EBC6420076 proquest_ebookcentral_EBC31734354 casalini_monographs_5463272 |
| PublicationCentury | 2000 |
| PublicationDate | 2020 2020-01-01 2020. |
| PublicationDateYYYYMMDD | 2020-01-01 |
| PublicationDate_xml | – year: 2020 text: 2020 |
| PublicationDecade | 2020 |
| PublicationPlace | Cham |
| PublicationPlace_xml | – name: Netherlands – name: Cham |
| PublicationSeriesTitle | Open Access E-Books |
| PublicationYear | 2020 |
| Publisher | Springer Nature Springer International Publishing AG |
| Publisher_xml | – name: Springer Nature – name: Springer International Publishing AG |
| SSID | ssj0002420184 |
| Score | 2.1402304 |
| Snippet | This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods... |
| SourceID | overdrive askewsholts proquest casalini |
| SourceType | Aggregation Database Publisher |
| SubjectTerms | Mathematics Mathematics. Analysis Nonfiction |
| SubjectTermsDisplay | Electronic books. Mathematics. Nonfiction. |
| Subtitle | Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018 |
| TableOfContents | 3.3 Spectral Symbol of Curl-Div Matrices Ap,α,βn,G -- 4 Numerical Example -- 5 Conclusions -- References -- Performance of Preconditioners for Large-Scale Simulations Using Nek5000 -- 1 Introduction -- 2 Problem Description -- 3 Optimal Parameter Selection -- 4 Scaling Results -- 5 Conclusions -- References -- Two Decades Old Entropy Stable Method for the Euler Equations Revisited -- 1 Introduction, Objectives and Preliminaries -- 2 Entropy Splitting of the Euler Flux Derivatives -- 3 Semi-Discrete Entropy Split Discretization of the Euler Equations -- 4 Numerical Experiments -- References -- A Mimetic Spectral Element Method for Free Surface Flows -- 1 Introduction -- 1.1 Boundary Conditions -- 2 Discretization of Governing Equations -- 2.1 Basis Functions -- 2.2 Mimetic Discretization in 2D -- 3 Numerical Results -- 4 Discussion and Conclusion -- References -- Spectral/hp Methodology Study for iLES-SVV on an Ahmed Body -- 1 Introduction -- 2 Objectives -- 3 Spectral/hp iLES-SVV -- 4 Simulation Methodology -- 5 Results -- 5.1 Drag Coefficient Comparison Results -- 5.2 Lift Coefficient Comparison Results -- 5.3 Flow Structure Comparison -- 6 Conclusions -- References -- A High-Order Discontinuous Galerkin Solver for Multiphase Flows -- 1 Introduction -- 2 Governing Equations -- 3 Numerical Methods -- 3.1 Spatial Discretisation Using a Nodal Discontinuous Galerkin Scheme (DGSEM) -- 3.2 Time Integration Using IMplicit-EXplicit (IMEX) and Runge-Kutta Schemes -- 4 Validation -- 4.1 Spinodal Decomposition -- 4.2 Rising Bubble -- 5 Conclusions -- References -- High-Order Propagation of Jet Noise on a Tetrahedral Mesh Using Large Eddy Simulation Sources -- 1 Introduction -- 2 Numerical Methods and Solvers -- 2.1 APE Solver -- 2.2 LES Solver -- 2.3 Coupling of Solvers -- 3 Test Cases -- 3.1 Spinning Vortex Pair -- 3.2 3D Turbulent Isolated Jet Noise Intro -- Preface -- Contents -- Part I Invited Papers -- Stability of Wall Boundary Condition Procedures for Discontinuous Galerkin Spectral Element Approximations of the Compressible Euler Equations -- 1 Introduction -- 2 The Compressible Euler Equations and the Wall Boundary Condition -- 3 Stability Bounds for the DGSEM -- 3.1 Linear Stability of Wall Boundary Condition Approximations -- 3.2 Entropy Stability of Wall Boundary Condition Approximations -- 3.2.1 Exact Solution of the Riemann Problem -- 3.2.2 Using Approximate Riemann Solvers for the Boundary Flux -- 4 Discussion -- References -- On the Order Reduction of Entropy Stable DGSEM for the Compressible Euler Equations -- 1 Introduction -- 2 Numerical Model -- 3 Convergence Results -- 3.1 Standard DGSEM -- 3.2 Entropy Conservative and Entropy Stable DGSEM -- 4 Conclusions -- Appendix -- Additional Convergence Results -- Manufactured Solution with Source Term -- References -- A Review of Regular Decompositions of Vector Fields: Continuous, Discrete, and Structure-Preserving -- 1 Introduction -- 2 Preliminaries -- 3 Regular Decompositions and Potentials Related to H(curl) -- 3.1 Gradient-Based Regular Decomposition of H(curl) -- 3.2 Regular Potentials for Some Divergence-Free Functions -- 3.3 Rotation-Bounded Regular Decomposition of H(curl) -- 4 Regular Decompositions and Potentials Related to H(div) -- 4.1 Rotation-Based Regular Decomposition of H(div) -- 4.2 Regular Potential with Prescribed Divergence -- 4.3 Divergence-Bounded Regular Decompositions of H(div) -- 5 Discrete Counterparts of the Regular Decompositions -- 5.1 Discrete Regular Decompositions for Edge Elements -- 5.2 Discrete Regular Decompositions for Face Elements -- References -- Model Reduction by Separation of Variables: A Comparison Between Hierarchical Model Reduction and Proper Generalized Decomposition 3.2 Enforcing Continuity in the Explicit Stage -- 4 Boundary Conditions -- References -- On the Use of Hermite Functions for the Vlasov-Poisson System -- 1 Introduction -- 2 The Continuous Model -- 3 Phase-Space Discretization -- 4 Discretization of the Vlasov Equation -- 5 Numerical Experiments -- References -- HPS Accelerated Spectral Solvers for Time Dependent Problems: Part I, Algorithms -- 1 Introduction -- 2 Time Dependent Boundary Conditions -- 3 Schrödinger Equation -- 4 Burgers' Equation in Two Dimensions -- 5 Conclusion -- References -- High-Order Finite Element Methods for Interface Problems: Theory and Implementations -- 1 Introduction -- 2 XFE and DG Schemes for Interface Problems -- 3 An Optimal Multigrid Method for (7) -- 4 Numerical Tests -- 4.1 High-Order Numerical Quadratures on ``cut'' Elements -- 4.2 2-D Numerical Examples -- 4.3 3-D Numerical Examples -- References -- Stabilised Hybrid Discontinuous Galerkin Methods for the Stokes Problem with Non-standard Boundary Conditions -- 1 Introduction -- 1.1 Notations and Model Problem -- 2 The Stabilised Method -- 2.1 Well-Posedness of the Discrete Problem -- 2.2 Error Analysis -- 3 Numerical Experiments -- 4 Conclusion -- References -- RBF Based CWENO Method -- 1 Introduction -- 2 CWENO -- 3 Radial Basis Functions -- 4 RBF-CWENO -- 4.1 Smoothness Indicator -- 5 Numerical Results -- 5.1 Linear Advection Equation -- 5.2 Burger's Equation -- 5.3 Euler Equations -- 5.3.1 Sod's Shock Tube Problem -- 5.3.2 Shu-Osher Shock-Entropy Wave Interaction Problem -- 6 Conclusion -- References -- Discrete Equivalence of Adjoint Neumann-Dirichlet div-grad and grad-div Equations in Curvilinear 3D Domains -- 1 Introduction -- 2 Function Spaces -- 2.1 Primal Polynomial Spaces -- 2.2 Algebraic Dual Polynomial Spaces -- 2.3 Function Spaces in Curvilinear Domains -- 3 Weak Formulations 3.1 Discrete Neumann Problem -- 3.2 Discrete Dirichlet Problem -- 3.3 Equivalence Between Discrete Formulations -- 4 Numerical Test -- 5 Conclusions -- References -- A Conservative Hybrid Method for Darcy Flow -- 1 Introduction -- 2 Darcy Flow Formulation -- 2.1 Notations -- 2.2 Weak Formulation -- 3 Basis Functions -- 3.1 Primal and Dual Nodal Degrees of Freedom -- 3.2 Primal and Dual Edge Degrees of Freedom -- 3.3 Differentiation of Nodal Polynomial Representation -- 4 Discrete Inner Product and Duality Pairing -- 4.1 Weighted Inner Product -- 4.2 Divergence of Velocity -- 4.3 Connectivity Matrix -- 5 Discrete Formulation -- 6 Results -- References -- High-Order Mesh Generation Based on Optimal Affine Combinations of Nodal Positions -- 1 Introduction -- 2 High-Order Mesh Generation Based on Affine Combinations of Nodal Positions -- 3 Numerical Experiments -- 4 Concluding Remarks and Future Work -- References -- Sparse Spectral-Element Methods for the Helically Reduced Einstein Equations -- 1 Introduction -- 2 Background -- 2.1 Helically Reduced Wave Equation -- 2.2 Helically Reduced Einstein Equations -- 3 Sparse Spectral Element Methods -- 3.1 Overview -- 3.2 Integration Preconditioning and Other Key Aspects -- 3.3 Current Complexity Estimates -- 4 Numerical Tests -- 4.1 Comparison with Exact Solutions -- 4.2 Gauge Constraint Tests -- 5 Conclusions and Acknowledgments -- Appendix: Beetle, Bromley, Hernández, and Price Inner Boundary Conditions -- References -- Spectral Analysis of Isogeometric Discretizations of 2D Curl-Div Problems with General Geometry -- 1 Introduction -- 2 Preliminaries -- 2.1 Spectral Distribution -- 2.2 B-Splines -- 3 Spectral Analysis of Isogeometric Discretizations in 2D -- 3.1 Matrices Related to a Generalized Poisson Problem -- 3.2 Matrices Related to Our Curl-Div Problem 4 Conclusions 1 Introduction -- 2 The HiMod Approach -- 3 The PGD Approach -- 4 HiMod Reduction Versus PGD -- 4.1 Domain Geometry -- 4.2 Modeling of the Transverse Dynamics -- 4.3 Computational Aspects -- 5 HiMod Reduction and PGD for Parametrized Problems -- References -- Recurrence Relations for a Family of Orthogonal Polynomials on a Triangle -- 1 Introduction -- 2 Ladder Operators for Jacobi Polynomials -- 3 Ladder Operators for Pn,k(a,b,c,d) -- 4 Sparse Recurrence Relations for Pn,k(a,b,c) -- 4.1 Differentiation -- 4.2 Conversion -- 4.3 Multiplication -- 4.4 Differential Eigenvalue Problems -- 5 Application: Calculating Laplacians -- 6 Conclusion -- References -- Part II Contributed Papers -- Greedy Kernel Methods for Center Manifold Approximation -- 1 Introduction -- 2 Background -- 3 Kernel Approximation -- 3.1 Greedy Approximation -- 4 Numerical Examples -- 4.1 Example 1 -- 4.2 Example 2 -- 4.3 Example 3 -- 5 Conclusions -- References -- An Adaptive Error Inhibiting Block One-Step Method for Ordinary Differential Equations -- 1 Introduction -- 2 Error Inhibiting Block One-Step Method -- 3 RBF Interpolation -- 4 Construction of the Adaptive Error Inhibiting Scheme -- 5 Numerical Results -- 6 Conclusions -- References -- Hermite Methods in Time -- 1 Introduction -- 2 Basic Properties of Hermite-Birkhoff Interpolation -- 3 Time-Stepping Methods -- 3.1 Stability and Consistency -- 4 Numerical Experiments -- 4.1 Arentsorf Orbit -- 4.2 Van der Pol Oscillator -- 4.3 Schrödinger Equation -- 5 Conclusions and Future Work -- References -- HPS Accelerated Spectral Solvers for Time Dependent Problems: Part II, Numerical Experiments -- 1 Introduction -- 2 The Hierarchical Poincaré-Steklov Method -- 2.1 Discretization -- 2.2 A Hierarchical Direct Solver -- 3 Time-Stepping Methods -- 3.1 Neumann Data Correction in the Slope Formulation |
| Title | Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 |
| URI | http://digital.casalini.it/9783030396473 https://ebookcentral.proquest.com/lib/[SITE_ID]/detail.action?docID=31734354 https://ebookcentral.proquest.com/lib/[SITE_ID]/detail.action?docID=6420076 https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9783030396473 http://link.overdrive.com/?titleID=10073697&websiteID= |
| Volume | 134 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9NAEF6FFgly4incUrQgbo6l-G1X4kBDUKDkIaWterPW9q6IqNzWTtLwSzjwZ5nZtddNERIcuFixY28cz-ed2dnv2yHkbdrnYZC7zEr93LOgl-RWGoTMyjNAT2ZziMqlUPhLOJlE5-fxrNP50Whh1hdhUUSbTXz1X00Nx8DYKJ39B3PrRuEAfAajwxbMDts7EbHerUUdKJosa-0_8jfMKa6raY5lkWi57gIEjIAU2dOpuihyZ3i9qglxnwbT-fvRdGyCw44wWTCXZXIgKJ2xK5T6ajWKPrOVDMohvq4Ocnpcy6-_m7Flu7iDjeqMDmDlRq1fAPcNV5fmZ9lRyQzt5UZl0iXjvjk64ws5r3_kqrQ_u16pUtCSq7sokGeqKcfmULc2z77esFRxC-qVFDCuBq8t5ytUV4qm4dU75NdgBQ0pBbBQCLKVF3H6d_IiTV4USd_12ix62Axuu--iBNdtvaDmJm59f4_sOp7vIlf0zB7p5B3ENfDEvC7psuobOCNwVMsKIxtWMRS0dskDJODmJXis35y8jFxOHpFdjv_iMenw4gnpjvUqvdVT8rNBDAXEUEQMlYihNWIoIIbWiKG3EUM1YmiDA4q3ekgbvFCFF4p4ofCT7XktXnpUoaVHT497FJFCESk92dQzcvZxeDIYWXWxDoth7bMNvIMsg8EC54GdCjcQQRYKj-cQU3OfxyzwmHAYlkPLmCscL81wxtj3w5zzNIhF7j4nO8VlwV8QGqdeICIICViYesLx09gTQsR2HvHIF_3cIG9uPfdkfSGJBVWyZTqD7DfmSOAVVwvAVwmWf3BCxyAH2kKJunr6YYIZEvB5QRwa5HVjtUS2XnOlk-HRAEJuF0YZnkHoH8-BYT1Ocu_9zZ3uk4ctgF-SnWW54gfkfrZeLqrylUTeLzk8pkM |
| linkProvider | Open Access Publishing in European Networks |
| 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%3Abook&rft.genre=book&rft.title=Spectral+and+High+Order+Methods+for+Partial+Differential+Equations+ICOSAHOM+2018%3A+Selected+Papers+from+the+ICOSAHOM+Conference%2C+London%2C+UK%2C+July+9-13%2C+2018&rft.au=Sherwin%2C+Spencer+J.%2C+%2C+Moxey%2C+David%2C+%2C+Peir%C3%B3%2C+Joaquim%2C+%2C+Vincent%2C+Peter+E.%2C+%2C+Schwab%2C+Christoph+%28editor%29&rft.series=Open+Access+E-Books&rft.date=2020-01-01&rft.pub=Springer+Nature&rft.isbn=9783030396473&rft.externalDocID=9783030396473 |
| thumbnail_m | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97830303%2F9783030396473.jpg |