Homogenization Theory for Multiscale Problems An introduction
The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects rega...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer Nature Switzerland
2023, 2023
|
| Edition: | 1st ed. 2023 |
| Series: | MS&A, Modeling, Simulation and Applications
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 In dimension "zero"
- 2 Homogenization in dimension 1
- 3 Dimension ≥ 2: The "simple" cases: abstract or periodic settings
- 4 Dimension ≥ 2: Some explicit cases beyond the periodic setting
- 5 Numerical Approaches
- 6 Beyond the diffusion equation and miscellaneous topics
- Appendix A: Some basic elements of PDE analysis