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21 papers · 2 filters
Four-Dimensional Elastically Deformed Simplex Space-Time Meshes for Domains with Time Variant Topology
Max von Danwitz, Patrick Antony, Fabian Key +2
Thinking of the flow through biological or technical valves, there is a variety of applications in which the topology of a fluid domain changes over time. This topology change is c…
Optimal convergence rates in for a first order system least squares finite element method. Part I: homogeneous boundary conditions
Maximilian Bernkopf, Jens Markus Melenk
We analyze a divergence based first order system least squares method applied to a second order elliptic model problem with homogeneous boundary conditions. We prove optimal conver…
Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model
Johannes Kraus, Philip L. Lederer, Maria Lymbery +1
We consider the quasi-static Biot's consolidation model in a three-field formulation with the three unknown physical quantities of interest being the displacement …
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…
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…
Plain convergence of adaptive algorithms without exploiting reliability and efficiency
Gregor Gantner, Dirk Praetorius
We consider h-adaptive algorithms in the context of the finite element method (FEM) and the boundary element method (BEM). Under quite general assumptions on the building blocks SO…