A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions

S. Sauter; A. Veit

doi:10.1007/s00211-012-0483-7

A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions

Numerische Mathematik ◽

10.1007/s00211-012-0483-7 ◽

2012 ◽

Vol 123 (1) ◽

pp. 145-176 ◽

Cited By ~ 17

Author(s):

S. Sauter ◽

A. Veit

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Compactly Supported ◽

Temporal Basis

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On hybrid temporal basis functions for stable numerical solution of time domain boundary integral equations

Advances in Aerodynamics ◽

10.1186/s42774-019-0011-x ◽

2019 ◽

Vol 1 (1) ◽

Author(s):

Fang Q. Hu

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Time Domain ◽

Boundary Integral Equations ◽

Domain Boundary ◽

Boundary Integral ◽

Basis Functions ◽

Temporal Basis

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A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.11.020 ◽

2018 ◽

Vol 333 ◽

pp. 362-381 ◽

Cited By ~ 14

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Galerkin Scheme ◽

Radial Basis

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A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.073 ◽

2017 ◽

Vol 315 ◽

pp. 424-444 ◽

Cited By ~ 5

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Radial Basis

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A fast spectral Galerkin method for hypersingular boundary integral equations in potential theory

Computational Mechanics ◽

10.1007/s00466-009-0373-8 ◽

2009 ◽

Vol 44 (2) ◽

pp. 263-271 ◽

Cited By ~ 8

Author(s):

Sylvain Nintcheu Fata ◽

Leonard J. Gray

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Potential Theory ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Spectral Galerkin Method

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A meshless Galerkin method for Stokes problems using boundary integral equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.04.009 ◽

2009 ◽

Vol 198 (37-40) ◽

pp. 2874-2885 ◽

Cited By ~ 41

Author(s):

Xiaolin Li ◽

Jialin Zhu

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Stokes Problems ◽

Meshless Galerkin Method

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A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients

Applied Mathematics and Mechanics ◽

10.1007/s10483-020-2592-8 ◽

2020 ◽

Vol 41 (4) ◽

pp. 551-566 ◽

Cited By ~ 1

Author(s):

W. T. Ang ◽

X. Wang

Keyword(s):

Numerical Method ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Variable Coefficients ◽

Boundary Integral ◽

Basis Functions ◽

Radial Basis

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On the use of Fourier series/FFT's as global basis functions in the solution of boundary integral equations for EM scattering

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.318652 ◽

1994 ◽

Vol 42 (9) ◽

pp. 1309-1316 ◽

Cited By ~ 11

Author(s):

R.M. James

Keyword(s):

Fourier Series ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Em Scattering

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A Fast Fourier–Galerkin Method for Solving Singular Boundary Integral Equations

SIAM Journal on Numerical Analysis ◽

10.1137/070703478 ◽

2008 ◽

Vol 46 (4) ◽

pp. 1965-1984 ◽

Cited By ~ 21

Author(s):

Haotao Cai ◽

Yuesheng Xu

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Singular Boundary

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A fast Galerkin method for parabolic space–time boundary integral equations

Journal of Computational Physics ◽

10.1016/j.jcp.2013.10.029 ◽

2014 ◽

Vol 258 ◽

pp. 15-30 ◽

Cited By ~ 9

Author(s):

Michael Messner ◽

Martin Schanz ◽

Johannes Tausch

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Space Time ◽

Boundary Integral ◽

Time Boundary

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Numerical modeling of active microcavities with piercing holes using the Muller boundary integral equations and the Galerkin method

2019 Days on Diffraction (DD) ◽

10.1109/dd46733.2019.9016540 ◽

2019 ◽

Cited By ~ 2

Author(s):

Alina O. Oktyabrskaya ◽

Alexander O. Spiridonov ◽

Evgenii M. Karchevskii

Keyword(s):

Numerical Modeling ◽

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

The Galerkin Method

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