Multiscale Model Reduction Multiscale Finite Element Methods and Their Generalizations /
This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods. Multiscale numerical methods have become popular tools for modeling processes with multiple scales. These methods allow reducing the degrees of freedom based on l...
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| Main Authors: | , , |
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| Institution som forfatter: | |
| Format: | Electronisk eBog |
| Sprog: | engelsk |
| Udgivet: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Udgivelse: | 1st ed. 2023. |
| Serier: | Applied Mathematical Sciences,
212 |
| Fag: | |
| Online adgang: | https://doi.org/10.1007/978-3-031-20409-8 |
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Indholdsfortegnelse:
- Introduction
- Homogenization and Numerical Homogenization of Linear Equations
- Local Model Reduction: Introduction to Multiscale Finite Element Methods
- Generalized Multiscale Finite Element Methods: Main Concepts and Overview
- Adaptive Strategies
- Selected Global Formulations for GMsFEM and Energy Stable Oversampling
- GMsFEM Using Sparsity in the Snapshot Spaces
- Space-time GMsFEM
- Constraint Energy Minimizing Concepts
- Non-local Multicontinua Upscaling
- Space-time GMsFEM
- Multiscale Methods for Perforated Domains
- Multiscale Stabilization
- GMsFEM for Selected Applications
- Homogenization and Numerical Homogenization of Nonlinear Equations
- GMsFEM for Nonlinear Problems
- Nonlinear Non-local Multicontinua Upscaling
- Global-local Multiscale Model Reduction Using GMsFEM
- Multiscale Methods in Temporal Splitting. Efficient Implicit-explicit Methods for Multiscale Problems
- References
- Index.