17 citations · 76 across the 18 of their papers we have counts for
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Double exponential quadrature for fractional diffusion
Alexander Rieder
We introduce a novel discretization technique for both elliptic and parabolic fractional diffusion problems based on double exponential quadrature formulas and the Riesz-Dunford fu…
Time domain boundary integral equations and convolution quadrature for scattering by composite media (extended preprint)
Alexander Rieder, Francisco-Javier Sayas, Jens Markus Melenk
We consider acoustic scattering in heterogeneous media with piecewise constant wave number. The discretization is carried out using a Galerkin boundary element method in space and…
Metastable Speeds in the Fractional Allen-Cahn Equation
Franz Achleitner, Christian Kuehn, Jens Markus Melenk +1
We study numerically the one-dimensional Allen-Cahn equation with the spectral fractional Laplacian on intervals with homogeneous Neumann boundary conditions. In parti…
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia +1
We present a FEM-BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is…
Runge-Kutta approximation for -semigroups in the graph norm with applications to time domain boundary integral equations
Alexander Rieder, Francisco-Javier Sayas, Jens Markus Melenk
We consider the approximation to an abstract evolution problem with inhomogeneous side constraint using -stable Runge-Kutta methods. We derive a priori estimates in norms other…