30 citations · 194 across the 19 of their papers we have counts for
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Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements
Michael Feischl, Thomas Führer, Dirk Praetorius +1
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…
Adaptive FE-BE coupling for strongly nonlinear transmission problems with friction II
Heiko Gimperlein, Ernst P. Stephan
This article discusses the well-posedness and error analysis of the coupling of finite and boundary elements for transmission or contact problems in nonlinear elasticity. It concer…
Efficient additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations
Michael Feischl, Thomas Führer, Dirk Praetorius +1
For non-preconditioned Galerkin systems, the condition number grows with the number of elements as well as the quotient of the maximal and the minimal mesh-size. Therefore, reliabl…
Numerical simulations of the nonlinear Molodensky problem
Lothar Banz, Adrian Costea, Heiko Gimperlein +1
We present a boundary element method to compute numerical approximations to the non-linear Molodensky problem, which reconstructs the surface of the earth from the gravitational po…
A Nash-Hormander iteration and boundary elements for the Molodensky problem
Adrian Costea, Heiko Gimperlein, Ernst P. Stephan
We investigate the numerical approximation of the nonlinear Molodensky problem, which reconstructs the surface of the earth from the gravitational potential and the gravity vector.…