Advanced Boundary Element Methods Treatment of Boundary Value, Transmission and Contact Problems /

• Main Authors: Gwinner, Joachim (Author, http://id.loc.gov/vocabulary/relators/aut), Stephan, Ernst Peter (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Series in Computational Mathematics, 52
• Subjects: Integral equations.; Numerical analysis.; Partial differential equations.; Calculus of variations.; Applied mathematics.; Engineering mathematics.; Mathematical physics.; Integral Equations.; Numerical Analysis.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Mathematical and Computational Engineering.; Theoretical, Mathematical and Computational Physics.

This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element metho...

Table of Contents:

• 1 Introduction
• 2 Some Elements of Potential Theory
• 3 A Fourier Series Approach
• 4 Mixed BVPs, Transmission Problems and Pseudodifferential Operators
• 5 The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation
• 6 A Primer to Boundary Element Methods
• 7 Advanced BEM for BVPs in Polygonal/Polyhedral Domains: h- and p-Versions
• 8 Exponential Convergence of hp-BEM
• 9 Mapping Properties of Integral Operators on Polygons
• 10 A-BEM
• 11 BEM for Contact Problems
• 12 FEM-BEM Coupling
• 13 Time-Domain BEM
• A Linear Operator Theory
• B Pseudodifferential Operators
• C Convex and Nonsmooth Analysis, Variational Inequalities
• D Some Implementation for BEM
• References
• Index.