Homogenization Theory for Multiscale Problems : An introduction / by Xavier Blanc, Claude Le Bris.

Format:

Book

Author/Creator:

Blanc, Xavier, author.

Le Bris, Claude, author.

Series:

MS&A, Modeling, Simulation and Applications, 2037-5263 ; 21

Language:

English

Subjects (All):

Mathematics--Data processing.

Mathematics.

Computational Mathematics and Numerical Analysis.

Local Subjects:

Computational Mathematics and Numerical Analysis.

Physical Description:

1 online resource (469 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2023.

Summary:

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 regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.

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.

Notes:

Includes bibliographical references and index.

Other Format:

Print version: Blanc, Xavier Homogenization Theory for Multiscale Problems

ISBN:

9783031218330

OCLC:

1378391438