An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization-Reference-Cited by-同舟云学术

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An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization

Published:2023-05-08 Issue:2 Volume:21 Page:513-541
ISSN:1540-3459
Container-title:Multiscale Modeling & Simulation
language:en
Short-container-title:Multiscale Model. Simul.

Author:

Abdulle Assyr¹,Arjmand Doghonay¹²,Paganoni Edoardo¹

Affiliation:

1. ANMC, Institute of Mathematics, École Polytechnique Fédérale DE Lausanne, Station 8, CH 1015 Lausanne, Switzerland.

2. Department of Information Technology, Division of Scientific Computing, Uppsala University, P O Box 337, S-751 05 Uppsala, Sweden.

Funder

Swiss National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

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

Reference45 articles.

1. On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM

2. Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems

3. A parabolic local problem with exponential decay of the resonance error for numerical homogenization

4. The heterogeneous multiscale method

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Efficient low rank approximations for parabolic control problems with unknown heat source;Journal of Computational and Applied Mathematics;2024-11

2. On the Nature of the Boundary Resonance Error in Numerical Homogenization and Its Reduction;Multiscale Modeling & Simulation;2024-06-06

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