179 citations · 613 across the 39 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.…
Generalized finite element methods for quadratic eigenvalue problems
Axel Målqvist, Daniel Peterseim
We consider a large-scale quadratic eigenvalue problem (QEP), formulated using P1 finite elements on a fine scale reference mesh. This model describes damped vibrations in a struct…
Complexity of hierarchical refinement for a class of admissible mesh configurations
Annalisa Buffa, Carlotta Giannelli, Philipp Morgenstern +1
An adaptive isogeometric method based on -variate hierarchical spline constructions can be derived by considering a refine module that preserves a certain class of admissibility…
Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors
Daniel Peterseim
This paper addresses the variational multiscale stabilization of standard finite element methods for linear partial differential equations that exhibit multiscale features. The sta…
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…