Removing the Cell Resonance Error in the Multiscale Finite Element Method via a Petrov-Galerkin Formulation
By Thomas Y. Hou, Xiao-hui Wu, Yu Zhang. 2004
112 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/121cc00b9d08ea6ea7e20c1d408f0bda76fbd884
How researchers see this paper
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In Computational Mechanics
- Yalchin R. Efendiev
- Thomas Y. Hou
- Victor Ginting
- Marco Discacciati
- Alfio Maria Quarteroni
- Juan Galvis
- Sabine Attinger
- Knut-Andreas Lie
In Computational Theory and Mathematics
- Yalchin R. Efendiev
- Thomas Y. Hou
- Victor Ginting
- Marco Discacciati
- Alfio Maria Quarteroni
- Juan Galvis
- Sabine Attinger
- Knut-Andreas Lie
In Mechanics of Materials
- Yalchin R. Efendiev
- Thomas Y. Hou
- Victor Ginting
- Marco Discacciati
- Alfio Maria Quarteroni
- Sabine Attinger
- Juan Galvis
- Knut-Andreas Lie
Citations in the corpus
- Multiscale Finite Element Methods for Nonlinear Problems and Their Applications (2004, methodology): “We note that the Petrov-Galerkin formulation of MsFEM is found to have an advantage [18] for linear problems.”
- Optimal Local Multi-scale Basis Functions for Linear Elliptic Equations with Rough Coefficient (2015, unknown): “In [21, 18, 22, 14], the authors proposed the Multi-scale finite element method (MsFEM), in which the multi-scale basis functions are constructed by solving local elliptic problems with homogeneous right hand side, and the convergence analysis of MsFEM in the periodic setting was given in [18, 15].”