Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix

DOI10.1137/10081839XzbMath1264.65195OpenAlexW1965549324MaRDI QIDQ4903649

Daniel Peterseim, Stefan A. Sauter

Publication date: 24 January 2013

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/10081839x

zbMATH Keywords

numerical experimentselliptic problem\(hp\) finite elementsweighted regularityoscillatory diffusion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for second-order elliptic systems (35J57)

Related Items (10)

Numerical homogenization beyond scale separation ⋮ Localization of elliptic multiscale problems ⋮ Composite finite elements for elliptic interface problems ⋮ Computation of eigenvalues by numerical upscaling ⋮ Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization ⋮ A diffuse modeling approach for embedded interfaces in linear elasticity ⋮ Sparse Compression of Expected Solution Operators ⋮ Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes ⋮ A High-Order Approach to Elliptic Multiscale Problems with General Unstructured Coefficients ⋮ A Multiscale Method for Heterogeneous Bulk-Surface Coupling

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