Summary The Dirichlet-to-Neumann (DtN) Finite Element Method is a general technique for
the solution of problems in unbounded domains, which arise in many fields of application. Its …

In various areas of applied mechanics, there are instances where it is necessary or
beneficial to represent the behavior of a mechanical system on an artificial boundary, or …

In this book the author sets out to answer two important questions: 1. Which numerical
methods may be combined together? 2. How can different numerical methods be matched …

This paper provides a survey for treatments for singularity problems of elliptic equations. We
take the Laplace equation on polygons as an example, and choose Motz's problem as a …

Dirichlet-to-Neumann (DtN) boundary conditions for unbounded wave guides in two and
three dimensions are derived and analyzed, defining problems that are suitable for finite …

In this paper we analyze the coupling of a scalar nonlinear convection-diffusion problem
with the Stokes equations where the viscosity depends on the distribution of the solution to …

In this paper we introduce and analyze a new finite element method for a strongly coupled
flow and transport problem in R n, n∈{2, 3}, whose governing equations are given by a …

A new mixed variational formulation for the Navier--Stokes equations with constant density
and variable viscosity depending nonlinearly on the gradient of velocity, is proposed and …

In this note we present an h-adaptive procedure for the symmetrie coupling of boundary
element andfinite éléments meîhods for two-dimensional linear and nonlinear interface …

In this paper we apply the coupling of mixed finite element and boundary integral methods
for solving some class of linear and nonlinear elliptic boundary value problems. As a model …