Sparse tensor finite elements for elliptic multiple scale problems

DOI10.1016/j.cma.2011.07.001zbMath1230.65127OpenAlexW2165016064MaRDI QIDQ660307

Christoph Schwab, Helmut Harbrecht

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.07.001

zbMATH Keywords

framestwo-scale convergencereiterated homogenizationBPX multilevel preconditionermultiscale elliptic boundary value problemsparse tensor product FEM

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Numerical homogenization beyond scale separation, Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions, \(\mathrm{FE}^2\) multiscale in linear elasticity based on parametrized microscale models using proper generalized decomposition, Sparse tensor finite elements for elastic wave equation with multiple scales, High dimensional finite element method for multiscale nonlinear monotone parabolic equations, High Dimensional Finite Elements for Multiscale Wave Equations, Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control

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