This volume contains eight state of the art contributions on mathematical aspects and applications of fast boundary element methods in engineering and industry. This covers the analysis and numerics of boundary integral equations by using differential forms, preconditioning of hp boundary element methods, the application of fast boundary element methods for solving challenging problems in magnetostatics, the simulation of micro electro mechanical systems, and for contact problems in solid mechanics. Other contributions are on recent results on boundary element methods for the solution of transient problems.
This book is addressed to researchers, graduate students and practitioners working on and using boundary element methods. All contributions also show the great achievements of interdisciplinary research between mathematicians and engineers, with direct applications in engineering and industry.
Differential Forms and Boundary Integral Equations for MaxwellType Problems.- Discrete Electromagnetism with Shape Forms of Higher Polynomial Degree.- Additive Schwarz Methods for the hp Version of the Boundary Element Method in R3.- Fast Boundary Element Methods for Industrial Applications in Magnetostatics.- Wave Propagation Problems Treated with Convolution Quadrature and BEM.- Fast Nyström Methods for Parabolic Boundary Integral Equations.- Fast Stokes Solvers for MEMS.- Engineering Multibody Contact Problems Solved by Scalable TBETI.
