Multiscale Model Reduction
Multiscale Finite Element Methods and Their Generalizations
Series: Applied Mathematical Sciences; 212;
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Product details:
- Edition number 2023
- Publisher Springer International Publishing
- Date of Publication 8 June 2023
- Number of Volumes 1 pieces, Book
- ISBN 9783031204081
- Binding Hardback
- No. of pages491 pages
- Size 235x155 mm
- Weight 1014 g
- Language English
- Illustrations XIV, 491 p. 177 illus., 162 illus. in color. Illustrations, black & white 468
Categories
Long description:
This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods.
Table of Contents:
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.
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