BEM-based Finite Element Approaches on Polytopal Meshes

• Κύριος συγγραφέας: Weißer, Steffen (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Lecture Notes in Computational Science and Engineering, 130
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.