activity
20152021
most citedMortar coupling of -discontinuous Galerkin and boundary element methods for the Helmholtz equation

6 citations · 6 across the 2 of their papers we have counts for

collaborators

11 papers

math.NA2021

The Johnson-Nédélec FEM-BEM Coupling for magnetostatic problems in the isogeometric framework

Mehdi Elasmi, Christoph Erath, Stefan Kurz

We consider a Johnson-Nédélec FEM-BEM coupling, which is a direct and non-symmetric coupling of finite and boundary element methods, in order to solve interface problems for the ma…

math.NA2021★ 6 cited

Mortar coupling of -discontinuous Galerkin and boundary element methods for the Helmholtz equation

Christoph Erath, Lorenzo Mascotto, Jens Markus Melenk +2

We design and analyze a coupling of a discontinuous Galerkin finite element method with a boundary element method to solve the Helmholtz equation with variable coefficients in thre…

math.NA2020

Non-symmetric isogeometric FEM-BEM couplings

Mehdi Elasmi, Christoph Erath, Stefan Kurz

We present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundar…

math.NA2018

Optimal Adaptivity for the SUPG Finite Element Method

Christoph Erath, Dirk Praetorius

For convection dominated problems, the streamline upwind Petrov--Galerkin method (SUPG), also named streamline diffusion finite element method (SDFEM), ensures a stable finite elem…

math.NA2018

Stable non-symmetric coupling of the finite volume and the boundary element method for convection-dominated parabolic-elliptic interface problems

Christoph Erath, Robert Schorr

Many problems in electrical engineering or fluid mechanics can be modeled by parabolic-elliptic interface problems, where the domain for the exterior elliptic problem might be unbo…

math.NA2018

Optimal convergence behavior of adaptive FEM driven by simple (h-h/2)-type error estimators

Christoph Erath, Gregor Gantner, Dirk Praetorius

For some Poisson-type model problem, we prove that adaptive FEM driven by the (h-h/2)-type error estimators from [Ferraz-Leite, Ortner, Praetorius, Numer. Math. 116 (2010)] leads t…