Boundary element methods
This work presents a thorough treatment of boundary element methods (BEM) for solving elliptic integral equations. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with f
1 online resource (xvi, 561 pages) : illustrations
9783540680932, 9783540680925, 3540680934, 3540680926
695386855
Boundary Element Methods; Preface; Contents; Chapter 1: Introduction; Chapter 2: Elliptic Differential Equations; Chaptre 3: Elliptic Boundary Integral Equations; Chapter 4: Boundary Element Methods; Chapter 5: Generating the Matrix Coefficients; Chapter 6: Solution of Linear Systems of Equations; Chapter 7: Cluster Methods; Chapter 8: p-Parametric Surface Approximation; Chapter 9: A Posteriori Error Estimation; References; Index of Symbols; Index
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