Distributed solution of the Helmholtz transmission problems via relaxed local multi-trace formulation and adaptive cross approximation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113644 ◽

2021 ◽

pp. 113644

Author(s):

Michal Kravčenko ◽

Jan Zapletal ◽

Michal Merta

Keyword(s):

Adaptive Cross Approximation ◽

Transmission Problems ◽

Helmholtz Transmission Problems

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Indirect Methods with Brakhage-Werner Potentials for Helmholtz Transmission Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-34288-5_115 ◽

2007 ◽

pp. 1146-1154 ◽

Author(s):

María-Luisa Rapún ◽

Francisco-Javier Sayas

Keyword(s):

Indirect Methods ◽

Transmission Problems ◽

Helmholtz Transmission Problems

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Mixed boundary integral methods for Helmholtz transmission problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.02.028 ◽

2008 ◽

Vol 214 (1) ◽

pp. 238-258 ◽

Author(s):

M.-L. Rapún ◽

F.-J. Sayas

Keyword(s):

Mixed Boundary ◽

Boundary Integral ◽

Boundary Integral Methods ◽

Integral Methods ◽

Transmission Problems ◽

Helmholtz Transmission Problems

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Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media

Journal of Scientific Computing ◽

10.1007/s10915-020-01133-z ◽

2020 ◽

Vol 82 (2) ◽

Author(s):

David P. Nicholls ◽

Carlos Pérez-Arancibia ◽

Catalin Turc

Keyword(s):

Layered Media ◽

Iterative Solution ◽

Transmission Problems ◽

Helmholtz Transmission Problems

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Symmetric boundary integral formulations for Helmholtz transmission problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.030 ◽

2009 ◽

Vol 59 (11) ◽

pp. 2814-2823 ◽

Author(s):

A.R. Laliena ◽

M.-L. Rapún ◽

F.-J. Sayas

Keyword(s):

Boundary Integral ◽

Transmission Problems ◽

Helmholtz Transmission Problems

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Well-posed boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz domains

Journal of Integral Equations and Applications ◽

10.1216/jie-2016-28-3-395 ◽

2016 ◽

Vol 28 (3) ◽

pp. 395-440 ◽

Author(s):

Víctor Domínguez ◽

Mark Lyon ◽

Catalin Turc

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Lipschitz Domains ◽

Two Dimensional ◽

Transmission Problems ◽

Helmholtz Transmission Problems ◽

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High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drv010 ◽

2015 ◽

pp. drv010

Author(s):

Yassine Boubendir ◽

Catalin Turc ◽

Víctor Domínguez

Keyword(s):

Integral Equation ◽

Two Dimensional ◽

Transmission Problems ◽

Helmholtz Transmission Problems

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Guaranteed estimation of solutions to Helmholtz transmission problems with uncertain data from their indirect noisy observations

Radio Science ◽

10.1002/2017rs006293 ◽

2017 ◽

Vol 52 (9) ◽

pp. 1129-1139 ◽

Author(s):

Yu. K. Podlipenko ◽

Yu. V. Shestopalov

Keyword(s):

Uncertain Data ◽

Transmission Problems ◽

Guaranteed Estimation ◽

Helmholtz Transmission Problems

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Multiple traces boundary integral formulation for Helmholtz transmission problems

Advances in Computational Mathematics ◽

10.1007/s10444-011-9194-3 ◽

2011 ◽

Vol 37 (1) ◽

pp. 39-91 ◽

Author(s):

R. Hiptmair ◽

C. Jerez-Hanckes

Keyword(s):

Boundary Integral ◽

Integral Formulation ◽

Transmission Problems ◽

Boundary Integral Formulation ◽

Helmholtz Transmission Problems

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Stabilized FEM‐BEM Coupling for Helmholtz Transmission Problems

SIAM Journal on Numerical Analysis ◽

10.1137/050639958 ◽

2006 ◽

Vol 44 (5) ◽

pp. 2107-2130 ◽

Author(s):

R. Hiptmair ◽

P. Meury

Keyword(s):

Transmission Problems ◽

Helmholtz Transmission Problems

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Dirac delta methods for Helmholtz transmission problems

Advances in Computational Mathematics ◽

10.1007/s10444-006-9015-2 ◽

2006 ◽

Vol 28 (2) ◽

pp. 119-139 ◽

Author(s):

V. Domínguez ◽

M.-L. Rapún ◽

F.-J. Sayas

Keyword(s):

Dirac Delta ◽

Transmission Problems ◽

Helmholtz Transmission Problems

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