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15 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…
Analytic Integration of the Newton Potential over Cuboids and an Application to Fast Multipole Methods
Matthias Kirchhart, Donat Weniger
We present simplified formulae for the analytic integration of the Newton potential of polynomials over boxes in two- and three-dimensional space. These are implemented in an easy-…
Bayesian inversion for electromyography using low-rank tensor formats
Anna Rörich, Tim A. Werthmann, Dominik Göddeke +1
The reconstruction of the structure of biological tissue using electromyographic data is a non-invasive imaging method with diverse medical applications. Mathematically, this proce…
A parameter-dependent smoother for the multigrid method
Lars Grasedyck, Maren Klever, Christian Löbbert +1
The solution of parameter-dependent linear systems, by classical methods, leads to an arithmetic effort that grows exponentially in the number of parameters. This renders the multi…
Analysis of the Feshbach-Schur method for the Fourier Spectral discretizations of Schr{ö}dinger operators
Geneviève Dusson, Israel Sigal, Benjamin Stamm
In this article, we propose a new numerical method and its analysis to solve eigenvalue problems for self-adjoint Schr{ö}dinger operators, by combining the Feshbach-Schur perturbat…
Algorithmic differentiation of hyperbolic flow problems
Michael Herty, Jonathan Hüser, Uwe Naumann +2
We are interested in the development of an algorithmic differentiation framework for computing approximations to tangent vectors to scalar and systems of hyperbolic partial differe…