A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales-Reference-Cited by-同舟云学术

A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales

Published:2008-12 Issue:23 Volume:227 Page:9807-9822
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Nguyen N.C.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference32 articles.

1. Multiscale discontinuous Galerkin methods for elliptic problems with multiple scales;Aarnes;Lecture Notes in Computational Science and Engineering,2005

2. Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media;Ababou;Transport in Porous Media,1989

3. A multiscale finite element method for numerical homogenization;Allaire;SIAM Multiscale Modeling and Simulation,2005

4. An empirical interpolation method: application to efficient reduced-basis discretization of partial differential equations;Barrault;Comptes Rendus de l Academie des Sciences Paris, Serie I,2004

5. Asymptotic Analysis for Periodic Structures;Bensoussan,1978

Cited by 74 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. Empirical Interscale Finite Element Method (EIFEM) for modeling heterogeneous structures via localized hyperreduction;Computer Methods in Applied Mechanics and Engineering;2024-01

2. A relaxed localized trust-region reduced basis approach for optimization of multiscale problems;ESAIM: Mathematical Modelling and Numerical Analysis;2024-01

3. Generalized Multiscale Finite Element Method and Balanced Truncation for Parameter-Dependent Parabolic Problems;Mathematics;2023-12-15

4. Efficient and accurate nonlinear model reduction via first-order empirical interpolation;Journal of Computational Physics;2023-12

5. An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition;SIAM Journal on Scientific Computing;2023-07-07