BEM-based Finite Element Approaches on Polytopal Meshes

• Main Author: Weißer, Steffen (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Lecture Notes in Computational Science and Engineering, 130
• Subjects: Computer mathematics.; Approximation theory.; Numerical analysis.; Computational Science and Engineering.; Approximations and Expansions.; Numerical Analysis.

This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial func...

Table of Contents:

• 1. Introduction
• 2. Finite element method on polytopal meshes
• 3. Interpolation of non-smooth functions and anisotropic polytopal meshes
• 4. Boundary integral equations and their approximations
• 5. Adaptive BEM-based finite element method
• 6. Developments of mixed and problem-adapted BEM-based FEM.