65 citations · 111 across the 22 of their papers we have counts for
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Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations
Donald L. Brown, Dietmar Gallistl, Daniel Peterseim
This paper presents a multiscale Petrov-Galerkin finite element method for time-harmonic acoustic scattering problems with heterogeneous coefficients in the high-frequency regime.…
Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form
Daniele Boffi, Dietmar Gallistl, Francesca Gardini +1
It is shown that the h-adaptive mixed finite element method for the discretization of eigenvalue clusters of the Laplace operator produces optimal convergence rates in terms of non…
Stable Multiscale Petrov-Galerkin Finite Element Method for High Frequency Acoustic Scattering
Dietmar Gallistl, Daniel Peterseim
We present and analyze a pollution-free Petrov-Galerkin multiscale finite element method for the Helmholtz problem with large wave number as a variant of [Peterseim, ArXiv:1411…