65 citations · 111 across the 22 of their papers we have counts for
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math.NA2016★ 1 cited
Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wavenumber Explicit Bounds
Donald L. Brown, Dietmar Gallistl
The simulation of the elastodynamics equations at high-frequency suffers from the well known pollution effect. We present a Petrov--Galerkin multiscale sub-grid correction method t…
math.NA2016★ 2 cited
Computation of quasilocal effective diffusion tensors and connections to the mathematical theory of homogenization
Dietmar Gallistl, Daniel Peterseim
This paper aims at bridging existing theories in numerical and analytical homogenization. For this purpose the multiscale method of Målqvist and Peterseim [Math. Comp. 2014], which…
math.NA2016
Variational formulation and numerical analysis of linear elliptic equations in nondivergence form with Cordes coefficients
Dietmar Gallistl
This paper studies formulations of second-order elliptic partial differential equations in nondivergence form on convex domains as equivalent variational problems. The first formul…