Search Results - boundary element methods for initial value AND initial-boundary value problems involving des

Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem.

Authors: Slodička, M. Lesnic, D. Onyango, T.T.M.

Source: Inverse Problems in Science & Engineering; Jan2010, Vol. 18 Issue 1, p65-81, 17p, 3 Graphs

Subject Terms: HEAT transfer, HEAT conduction, BOUNDARY element methods, INVERSE problems, BOUNDARY value problems

Energy-Based Distortion-Balancing Parameterization for Open Surfaces.

Authors: Liu, Shu-Yung Yueh, Mei-Heng

Source: SIAM Journal on Imaging Sciences; 2025, Vol. 18 Issue 4, p2059-2093, 35p

DESIGN OF ABSORBING BOUNDARY CONDITIONS FOR SCHRÖDINGER EQUATIONS IN R^d.

Authors: Szeftel, Jérémie

Source: SIAM Journal on Numerical Analysis; 2004, Vol. 42 Issue 4, p1527-1551, 25p

Subject Terms: DESIGN, BOUNDARY value problems, EQUATIONS, NUMERICAL analysis, BOUNDARY element methods, STOCHASTIC convergence

A SURVEY AND COMPARATIVE ANALYSIS OF DIFFERENT APPROACHES TO FUZZY DIFFERENTIAL EQUATIONS MODELING DYNAMICS WITH UNCERTAIN PARAMETERS OF DETERMINISTIC CHARACTER.

Authors: GASILOV, NIZAMI A. AMRAHOV, ŞAHIN EMRAH

Source: Kybernetika; 2025, Vol. 61 Issue 3, p289-347, 59p

Subject Terms: INITIAL value problems, BOUNDARY value problems, MATHEMATICAL models, FUZZY systems, PROBLEM solving, UNCERTAINTY (Information theory), FUZZY mathematics

ANALYSIS OF A MULTISCALE INTERFACE PROBLEM BASED ON THE COUPLING OF PARTIAL AND ORDINARY DIFFERENTIAL EQUATIONS TO MODEL TISSUE PERFUSION.

Authors: BOCIU, LORENA BROUSSARD, MATTHEW GUIDOBONI, GIOVANNA et al.

Source: Multiscale Modeling & Simulation; 2025, Vol. 23 Issue 1, p1-24, 24p

Subject Terms: INITIAL value problems, ORDINARY differential equations, BOUNDARY value problems, PARTIAL differential equations, BLOOD circulation

Internal symmetry to the rescue: well-posed 1 + 1 evolution of self-interacting vector fields.

Authors: Gómez, Gabriel Rodríguez, José F.

Source: European Physical Journal C -- Particles & Fields; Aug2025, Vol. 85 Issue 8, p1-18, 18p

Subject Terms: VECTOR fields, INITIAL value problems, NONABELIAN groups, MAGNETIC monopoles, NUMERICAL calculations, GAUGE symmetries, DYNAMIC stability

An efficient ODE-solving method based on heuristic and statistical computations: αII-(2 + 3)P method.

Authors: Babaei, Mehdi

Source: Journal of Supercomputing; Sep2024, Vol. 80 Issue 14, p20302-20345, 44p

Subject Terms: ORDINARY differential equations, INITIAL value problems, APPLIED sciences, NUMERICAL integration, EVOLUTIONARY computation

EXPONENTIAL ASYMPTOTIC STABILITY OF RIEMANN SHOCKS OF HYPERBOLIC SYSTEMS OF BALANCE LAWS.

Authors: FAYE, GRÉGORY RODRIGUES, LUIS MIGUEL

Source: SIAM Journal on Mathematical Analysis; 2023, Vol. 55 Issue 6, p6425-6456, 32p

Subject Terms: EXPONENTIAL stability, BOUNDARY value problems, INITIAL value problems, EXPONENTIAL dichotomy

Model order reduction based on Laguerre orthogonal polynomials for parabolic equation constrained optimal control problems.

Authors: Miao, Zhen Wang, Li Cheng, Gao-yuan et al.

Source: International Journal of Computer Mathematics; Mar2024, Vol. 101 Issue 3, p237-254, 18p

Subject Terms: LAGUERRE polynomials, PONTRYAGIN'S minimum principle, INITIAL value problems, COST functions, ORDINARY differential equations, ORTHOGONAL polynomials

Full Discretisations for Nonlinear Evolutionary Inequalities Based on Stiffly Accurate Runge-Kutta and hp-Finite Element Methods.

Authors: Gwinner, J. Thalhammer, M.

Source: Foundations of Computational Mathematics; Oct2014, Vol. 14 Issue 5, p913-949, 37p

Subject Terms: DISCRETIZATION methods, MATHEMATICAL inequalities, RUNGE-Kutta formulas, FINITE element method, GALERKIN methods, BOUNDARY value problems

A COMPLETE ANALYSIS FOR SOME A POSTERIORI ERROR ESTIMATES WITH THE FINITE ELEMENT METHOD OF LINES FOR A NONLINEAR PARABOLIC EQUATION.

Authors: Tran, Thanh Duong, Thanh-Binh

Source: Numerical Functional Analysis & Optimization; Nov2002, Vol. 23 Issue 7/8, p891-909, 19p

Subject Terms: ERROR analysis in mathematics, FINITE element method, EQUATIONS, BOUNDARY value problems

A comparison of finite-difference and spectral-element methods for elastic wave propagation in media with a fluid-solid interface.

Authors: De Basabe, Jonás D. Sen, Mrinal K.

Source: Geophysical Journal International; Jan2015, Vol. 200 Issue 1, p278-298, 21p

Subject Terms: FINITE difference method, SPECTRAL element method, ELASTIC wave propagation, COMPUTER simulation, SEISMIC prospecting, BOUNDARY value problems

Numerical study of scattering poles associated with the diffraction of acoustic and elastic waves by an obstacle in two dimensions

Authors: Poisson, Olivier

Subject Terms: Cauchy problem, Wave scattering in solid mechanics, convergence, algorithm, elastic waves, scattering, finite element method, diffraction, Hydro- and aero-acoustics, acoustic waves, boundary element method, Wave equation, wave equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml

Access URL: https://zbmath.org/847529

A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics: A very accurate arbitrary Lagrangian-Eulerian meshless method for computational aeroacoustics

Authors: Ramírez, Luis Nogueira, Xesús Khelladi, Sofiane et al.

Contributors: Ramírez, Luis Nogueira, Xesús Khelladi, Sofiane et al.

Source: Computer Methods in Applied Mechanics and Engineering. 342:116-141

Subject Terms: meshless methods, smoothed particle hydrodynamics, Sciences de l'ingénieur: Mécanique: Mécanique des fluides, Meshless methods, Hydro- and aero-acoustics, [SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], 01 natural sciences, moving least squares, Smoothed Particle Hydrodynamics, Moving Least Squares, Computational Aeroacoustics, 0103 physical sciences, Particle methods and lattice-gas methods, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, computational aeroacoustics, Finite element methods applied to problems in fluid mechanics

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-02438523/file/DYNFLUID_CMAME_2018_KHELLADI.pdf
https://zbmath.org/7188328
https://doi.org/10.1016/j.cma.2018.07.036
https://ui.adsabs.harvard.edu/abs/2018CMAME.342..116R/abstract
https://hal.archives-ouvertes.fr/hal-02438523/document
https://hal.archives-ouvertes.fr/hal-02438523
https://www.sciencedirect.com/science/article/pii/S0045782518303694
https://hal.science/hal-02438523v1
https://hal.science/hal-02438523v1/document
https://doi.org/10.1016/j.cma.2018.07.036
https://hdl.handle.net/2183/35191
http://hdl.handle.net/10985/17782

A mortar spectral element method for 3D Maxwell's equations

Authors: Boulmezaoud, Tahar El Rhabi, Mohammed Laboratoire de Mathématiques de Versailles (LMV) et al.

Contributors: Boulmezaoud, Tahar El Rhabi, Mohammed Laboratoire de Mathématiques de Versailles (LMV) et al.

Source: IMA Journal of Numerical Analysis. 25:577-610

Subject Terms: Numerical methods in optics, [MATH] Mathematics [math], Galerkin approximations, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [INFO] Computer Science [cs], mortar method, 16. Peace & justice, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, 01 natural sciences, Maxwell's equations, [INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA], Electromagnetic theory (general), [INFO]Computer Science [cs], [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, [MATH]Mathematics [math], spectral elements, 0101 mathematics, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml; application/pdf

Access URL: https://hal-enpc.archives-ouvertes.fr/hal-01813484/file/imajna2005%281%29.pdf
http://imajna.oxfordjournals.org/content/25/3/577.abstract
https://academic.oup.com/imajna/article/25/3/577/709236

CONVECTIVE AND RADIATIVE THERMAL TRANSFER WITH MULTIPLE REFLECTIONS: ANALYSIS AND APPROXIMATION BY A FINITE ELEMENT METHOD: Convective and radiative thermal transfer with multiple reflections. Analysis and approximation by a finite element method

Authors: Monnier, Jerome Vila, Jean-Paul Laboratoire de Modélisation et Calcul (LMC - IMAG) et al.

Contributors: Monnier, Jerome Vila, Jean-Paul Laboratoire de Modélisation et Calcul (LMC - IMAG) et al.

Source: Mathematical Models and Methods in Applied Sciences. 11:229-262

Subject Terms: finite element method, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 01 natural sciences, Stefan problems, phase changes, etc, error estimates, Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer, Nonlinear boundary value problems for linear elliptic equations, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, 3D steady-state thermal model, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/xml; application/pdf

Access URL: https://hal.inria.fr/inria-00256540/file/MoVi99.pdf
https://zbmath.org/1882774
https://doi.org/10.1142/s0218202501000854
https://inria.hal.science/inria-00256540v1/document
https://inria.hal.science/inria-00256540v1
https://doi.org/10.1142/s0218202501000854
https://hal.inria.fr/inria-00256540
https://tel.archives-ouvertes.fr/INRIA/inria-00256540v1
https://hal.inria.fr/inria-00256540/document
https://www.worldscientific.com/doi/abs/10.1142/S0218202501000854

Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds: Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.

Authors: Veroy, Karen Prud'Homme, Christophe Patera, Anthony et al.

Contributors: Veroy, Karen Prud'Homme, Christophe Patera, Anthony et al.

Source: Comptes Rendus. Mathématique. 337:619-624

Subject Terms: finite element method, Méthodes des bases réduites, Reduced Basis Method, stability, numerical results, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, viscous Burgers equation, KdV equations (Korteweg-de Vries equations), Nonlinear boundary value problems for linear elliptic equations, reduced-basis approximations, a posteriori error bounds, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml

Access URL: https://hal.science/hal-01219048v1
https://doi.org/10.1016/j.crma.2003.09.023
https://hal.science/hal-01220804v1
https://doi.org/10.1016/j.crma.2003.09.023
https://zbmath.org/2034192
https://doi.org/10.1016/j.crma.2003.09.023
https://www.sciencedirect.com/science/article/pii/S1631073X03004266
https://hal.archives-ouvertes.fr/hal-01219048

Data-driven reduced homogenization for transient diffusion problems with emergent history effects

Authors: V Varvara Kouznetsova Thomas Heuzé Laurent Stainier et al.

Contributors: V Varvara Kouznetsova Thomas Heuzé Laurent Stainier et al.

Source: Computer Methods in Applied Mechanics and Engineering. 380:113773

Subject Terms: Finite element methods applied to problems in solid mechanics, Non-Fickian diffusion, Computational homogenization, Data-driven mechanics, computational homogenization, non-Fickian diffusion, data-driven mechanics, 0211 other engineering and technologies, 02 engineering and technology, Data-Driven Mechanics, Computational Homogenization, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, 01 natural sciences, [SPI.MAT]Engineering Sciences [physics]/Materials, Non-Fickian Diffusion, model order reduction, [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], [SPI.MECA.THER]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Thermics [physics.class-ph], Model order reduction, Model Order Reduction, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics

File Description: application/xml

Access URL: https://hal.archives-ouvertes.fr/hal-03189901/file/FourthPaperPostPrint.pdf
https://zbmath.org/7414313
https://doi.org/10.1016/j.cma.2021.113773
https://research.tue.nl/en/publications/cad5f48d-01aa-40a4-adae-af574008ba93
https://doi.org/10.1016/j.cma.2021.113773
https://www.sciencedirect.com/science/article/pii/S0045782521001092
http://ui.adsabs.harvard.edu/abs/2021CMAME.380k3773W/abstract
https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2Fcad5f48d-01aa-40a4-adae-af574008ba93
https://research.tue.nl/nl/publications/data-driven-reduced-homogenization-for-transient-diffusion-proble
https://hal.archives-ouvertes.fr/hal-03189901
https://hal.archives-ouvertes.fr/hal-03189901/document

hp-discontinuous Galerkin time-stepping for parabolic problems: \(hp\)-discontinuous Galerkin time-stepping for parabolic problems

Authors: Schötzau, Dominik Schwab, Christoph

Source: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 333:1121-1126

Subject Terms: Error bounds for initial value and initial-boundary value problems involving PDEs, time-stepping method, convergence, linear parabolic problems, \(hp\)-version, discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, error bounds, Initial value problems for second-order parabolic equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences

File Description: application/xml

Access URL: https://www.research-collection.ethz.ch/bitstream/20.500.11850/145930/1/eth-24864-01.pdf

Towards a method for solving partial differential equations by using wavelet packet bases

Authors: Joly, Pascal Maday, Yvon Perrier, Valérie et al.

Contributors: Joly, Pascal Maday, Yvon Perrier, Valérie et al.

Source: Computer Methods in Applied Mechanics and Engineering. 116:301-307

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, adaptive method, [SPI] Engineering Sciences [physics], 02 engineering and technology, 01 natural sciences, [SPI]Engineering Sciences [physics], Error bounds for initial value and initial-boundary value problems involving PDEs, wavelet packet, Nonlinear parabolic equations, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, minimal basis, multistep scheme, 0210 nano-technology, data compression, time discretization, 0105 earth and related environmental sciences

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-01321537/file/JMP.pdf
https://zbmath.org/764286
https://doi.org/10.1016/s0045-7825(94)80036-7
https://www.sciencedirect.com/science/article/pii/S0045782594800367
https://ui.adsabs.harvard.edu/abs/1994CMAME.116..301J/abstract
https://hal.science/hal-01321537v1
https://doi.org/10.1016/s0045-7825(94)80036-7
https://hal.science/hal-01321537v1/document