Search Results for author: Anton Arnold

Found 2 papers, 0 papers with code

An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients

no code implementations3 Mar 2021 Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev

We also present a new algorithm for computing the Fourier transform in \emph{iii)} that exploits the reduced number of degrees of freedom corresponding to the adapted meshes.

Numerical Analysis Numerical Analysis 35J05, 35L05, 65M60, 65M50

Sharpening of decay rates in Fourier based hypocoercivity methods

no code implementations16 Dec 2020 Anton Arnold, Jean Dolbeault, Christian Schmeiser, Tobias Wöhrer

This paper is dealing with two $L^2$ hypocoercivity methods based on Fourier decomposition and mode-by-mode estimates, with applications to rates of convergence or decay in kinetic equations on the torus and on the whole Euclidean space.

Analysis of PDEs 82C40, 76P05, 35H10, 35K65, 35P15, 35Q84

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