Showing 2012 · math.NAShow all

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math.NA2012★ 6 cited

Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems

Michael Feischl, Thomas Führer, Michael Karkulik +1

We consider symmetric as well as non-symmetric coupling formulations of FEM and BEM in the frame of nonlinear elasticity problems. In particular, the Johnson-Nédélec coupling is an…

math.NA2012★ 5 cited

Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM

Markus Aurada, Michael Feischl, Thomas Führer +3

We prove inverse-type estimates for the four classical boundary integral operators associated with the Laplace operator. These estimates are used to show convergence of an h-adapti…

math.NA2012★ 39 cited

Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity

Markus Aurada, Michael Feischl, Thomas Führer +3

We consider a (possibly) nonlinear interface problem in 2D and 3D, which is solved by use of various adaptive FEM-BEM coupling strategies, namely the Johnson-Nédélec coupling, the…

math.NA2012★ 76 cited

Adaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems

Michael Feischl, Thomas Führer, Dirk Praetorius

We analyze adaptive mesh-refining algorithms for conforming finite element discretizations of certain non-linear second-order partial differential equations. We allow continuous po…

math.NA2012★ 73 cited

On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H1-Stability of L2-Projection

Michael Karkulik, David Pavlicek, Dirk Praetorius

Newest vertex bisection (NVB) is a popular local mesh-refinement strategy for regular triangulations which consist of simplices. For the 2D case, we prove that the mesh-closure ste…

math.NA2012★ 32 cited

Multiscale modeling in micromagnetics: existence of solutions and numerical integration

Florian Bruckner, Michael Feischl, Thomas Führer +5

Various applications ranging from spintronic devices, giant magnetoresistance sensors, and magnetic storage devices, include magnetic parts on very different length scales. Since t…