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Advanced Mathematical Modeling in Engineering

This cluster of papers focuses on the development and application of multiscale methods for analyzing heterogeneous systems, particularly in the context of homogenization, finite element simulations, and porous media flow. The papers cover topics such as upscaling techniques, subsurface flow simulation, coarse-grained computation, and the use of microscopic simulators to perform system-level analysis.

102.7K works worldwide1.3M citations
Multiscale MethodsHeterogeneousHomogenizationFinite ElementPorous MediaElliptic ProblemsUpscaling TechniquesSubsurface FlowCoarse-Grained ComputationMicroscopic Simulators

Journals publishing in this area

1Journal of Mathematical Analysis and Applications cover
Journal of Mathematical Analysis and Applications
ISSN 0022-247X5,455 articles in this topic
235h-index
2Proceedings of the American Mathematical Society cover
Proceedings of the American Mathematical Society
ISSN 0002-99392,234 articles in this topic
170h-index
3Transactions of the American Mathematical Society cover
Transactions of the American Mathematical Society
ISSN 0002-99471,648 articles in this topic
264h-index
4Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
ISSN 0045-78251,298 articles in this topic
313h-index
5Computers & Mathematics with Applications cover
Computers & Mathematics with Applications
ISSN 0898-12211,157 articles in this topic
231h-index
6Applied Mathematics and Computation cover
Applied Mathematics and Computation
ISSN 0096-30031,128 articles in this topic
195h-index
7Journal of Computational Physics cover
Journal of Computational Physics
ISSN 0021-9991970 articles in this topic
411h-index
8Mathematics of Computation cover
Mathematics of Computation
ISSN 0025-5718919 articles in this topic
322h-index
9Journal of Mathematical Physics cover
Journal of Mathematical Physics
ISSN 0022-2488837 articles in this topic
273h-index
10International Journal for Numerical Methods in Engineering cover
International Journal for Numerical Methods in Engineering
ISSN 0029-5981575 articles in this topic
270h-index
11
Communications in Mathematical Physics
ISSN 0010-3616477 articles in this topic
316h-index
12Journal of the Mechanics and Physics of Solids cover
Journal of the Mechanics and Physics of Solids
ISSN 0022-5096254 articles in this topic
290h-index
13Annals of Mathematics cover
Annals of Mathematics
ISSN 0003-486X187 articles in this topic
326h-index