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4 papers · 2 filters
Exponential Convergence of FEM for Spectral Fractional Diffusion in Polygons
Lehel Banjai, Jens M. Melenk, Christoph Schwab
For the spectral fractional diffusion operator of order in bounded, curvilinear polygonal domains we prove exponential convergence of two classes of discreti…
A time-dependent FEM-BEM coupling method for fluid-structure interaction in 3d
Heiko Gimperlein, Ceyhun Oezdemir, Ernst P. Stephan
We consider the well-posedness and a priori error estimates of a 3d FEM-BEM coupling method for fluid-structure interaction in the time domain. For an elastic body immersed in a fl…
A residual a posteriori error estimate for the time-domain boundary element method
Heiko Gimperlein, Ceyhun Oezdemir, David Stark +1
This article investigates residual a posteriori error estimates and adaptive mesh refinements for time-dependent boundary element methods for the wave equation. We obtain reliable…
Simplest random walk for approximating Robin boundary value problems and ergodic limits of reflected diffusions
B. Leimkuhler, A. Sharma, M. V. Tretyakov
A simple-to-implement weak-sense numerical method to approximate reflected stochastic differential equations (RSDEs) is proposed and analysed. It is proved that the method has the…