On the Nature of the Boundary Resonance Error in Numerical Homogenization and Its Reduction-Reference-Cited by-同舟云学术

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On the Nature of the Boundary Resonance Error in Numerical Homogenization and Its Reduction

Published:2024-06-06 Issue:2 Volume:22 Page:811-835
ISSN:1540-3459
Container-title:Multiscale Modeling & Simulation
language:en
Short-container-title:Multiscale Model. Simul.

Author:

Carney Sean P.¹,Dussinger Milica²,Engquist Björn³

Affiliation:

1. Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030 USA.

2. University of Texas at Austin, Austin, TX 78712 USA.

3. Department of Mathematics and Oden Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX 78712 USA.

Funder

National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference43 articles.

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

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

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

4. Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems

5. Reduced-order modelling numerical homogenization

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