We present a numerical method to solve a fluid–solid interaction problem posed in the
plane. In this scheme, we use a finite element method to approximate the solid vibrations …

We study in this paper the electromagnetic field generated in a conductor by an alternating
current density. The resulting interface problem (see Bossavit (1993)) between the metal …

We introduce a new technique for numerically solving exterior Dirichlet boundary-value
problems for second-order elliptic equations. It consists of coupling a hybridizable …

In this work we present a new numerical method, based on a coupling of finite and boundary
elements, to solve a fluid‐solid interaction problem in the plane. The discrete method uses …

We combine a dual-mixed finite element method with a Dirichlet-to-Neumann mapping
(derived by the boundary integral equation method) to study the solvability and Galerkin …

Consider a time-harmonic electromagnetic plane wave incident on a biperiodic structure in
R³. The periodic structure separates two homogeneous regions. The medium inside the …

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 …

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 …

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 …

In this paper we propose and analyze some new methods for coupling mixed finite element
and boundary element methods for the model problem of the Laplace equation in free space …