Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions-Reference-Cited by-同舟云学术

Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions

Published:2022-06-28 Issue:3 Volume:20 Page:893-935
ISSN:1540-3459
Container-title:Multiscale Modeling & Simulation
language:en
Short-container-title:Multiscale Model. Simul.

Author:

Kazeev Vladimir¹^ORCID,Oseledets Ivan²,Rakhuba Maxim V.³,Schwab Christoph⁴

Affiliation:

1. Faculty of Mathematics, University of Vienna, Kolingasse 14–16, 1090 Vienna, Austria ().

2. Skolkovo Institute of Science and Technology, Novaya Ul. 100, 143025 Skolkovo, Moscow Region, Russia and Institute of Numerical Mathematics, Russian Academy of Sciences, Gubkina St. 8, 119333, Moscow, Russia ().

3. HSE University, Pokrovsky Boulevard 11, Moscow, 109028 Russia ().

4. Seminar for Applied Mathematics, ETH Zurich, Rämistrasse 101, 8092 Zurich, Switzerland ().

Funder

Austrian Science Fund

Ministry of Science and Higher Education

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Computer Science Applications,General Physics and Astronomy,Ecological Modeling,Modeling and Simulation,General Chemistry

Reference67 articles.

1. The heterogeneous multiscale method

2. Homogenization and Two-Scale Convergence

3. Multiscale convergence and reiterated homogenisation

4. Numerical homogenization beyond scale separation

5. Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems

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