Coupling of boundary element methods and finite element methods

EP Stephan - Encyclopedia of Computational Mechanics …, 2018 - Wiley Online Library
For the numerical treatment of elliptic boundary value problems, the coupling of boundary
element methods (BEM) and finite element methods (FEM) is widely used. Usually, the FEM …

Stable and efficient FEM-BEM coupling with OSRC regularisation for acoustic wave transmission

E van't Wout - Journal of Computational Physics, 2022 - Elsevier
The finite element method (FEM) and the boundary element method (BEM) can numerically
solve the Helmholtz system for acoustic wave propagation. When an object with …

[HTML][HTML] An expanded mixed finite element approach via a dual–dual formulation and the minimum residual method

GN Gatica, N Heuer - Journal of computational and applied mathematics, 2001 - Elsevier
We apply an expanded mixed finite element method, which introduces the gradient as a
third explicit unknown, to solve a linear second-order elliptic equation in divergence form …

Multiscale preconditioning for the coupling of FEM–BEM

H Harbrecht, F Paiva, C Pérez… - … linear algebra with …, 2003 - Wiley Online Library
We apply multiscale methods to the coupling of finite and boundary element methods to
solve an exterior two‐dimensional Laplacian. The matrices belonging to the boundary terms …

Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements

M Feischl, T Führer, D Praetorius… - Numerical Methods for …, 2017 - Wiley Online Library
We analyze a multilevel diagonal additive Schwarz preconditioner for the adaptive coupling
of FEM and BEM for a linear 2D Laplace transmission problem. We rigorously prove that the …

Conjugate gradient method for dual-dual mixed formulations

G Gatica, N Heuer - Mathematics of computation, 2002 - ams.org
We deal with the iterative solution of linear systems arising from so-called dual-dual mixed
finite element formulations. The linear systems are of a two-fold saddle point structure; they …

[图书][B] Schwarz methods and multilevel preconditioners for boundary element methods

EP Stephan, T Tran - 2021 - Springer
Several textbooks and monographs on preconditioners for FEM (finite element methods) are
available, but none exists for BEM (boundary element methods). For BEM, the topic is dealt …

[PDF][PDF] Zur Kopplung von finiten Elementen und Randelementen

T Führer - 2014 - mat.uc.cl
Für nichtlineare Laplace-und Lamé-Transmissionsprobleme betrachten wir die
symmetrische als auch verschiedene Varianten der nicht-symmetrischen Kopplung von FEM …

Fast solvers with block‐diagonal preconditioners for linear FEM–BEM coupling

SA Funken, EP Stephan - Numerical Linear Algebra with …, 2009 - Wiley Online Library
The purpose of this paper is to present optimal preconditioned iterative methods to solve
indefinite linear systems of equations arising from symmetric coupling of finite elements and …

Minimum residual iteration for a dual–dual mixed formulation of exterior transmission problems

GN Gatica, N Heuer - Numerical linear algebra with …, 2001 - Wiley Online Library
We investigate the minimum residual method for symmetric, indefinite linear systems of a so‐
called dual–dual structure. These systems arise when using a combined dual‐mixed finite …