Differential Forms and Boundary Integral Equations for Maxwell-Type 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 Mag
Fast Boundary Element Methods in Engineering and Industrial Applications
β Scribed by Stefan Kurz, Bernhard Auchmann (auth.), Ulrich Langer, Martin Schanz, Olaf Steinbach, Wolfgang L. Wendland (eds.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2012
- Tongue
- English
- Leaves
- 277
- Series
- Lecture Notes in Applied and Computational Mechanics 63
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter....Pages 1-11
Differential Forms and Boundary Integral Equations for Maxwell-Type Problems....Pages 1-62
Discrete Electromagnetism with Shape Forms of Higher Polynomial Degree....Pages 63-92
Additive Schwarz Methods for the hp Version of the Boundary Element Method in β 3 ....Pages 93-109
Fast Boundary Element Methods for Industrial Applications in Magnetostatics....Pages 111-143
Wave Propagation Problems Treated with Convolution Quadrature and BEM....Pages 145-184
Fast NystrΓΆm Methods for Parabolic Boundary Integral Equations....Pages 185-219
Fast Stokes Solvers for MEMS....Pages 221-240
Engineering Multibody Contact Problems Solved by Scalable TBETI....Pages 241-269
β¦ Subjects
Theoretical and Applied Mechanics;Appl.Mathematics/Computational Methods of Engineering;Mechanics;Computational Mathematics and Numerical Analysis
π SIMILAR VOLUMES
The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged, as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the
The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged, as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the
The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique which has enjoyed increasing popularity over the past two decades. It is now an established alternative to traditional computational methods of engineering analysis. The mai