00000cmm a22000004a 4500 UP-99796217611212189 Buklod 20230215085534.0 m go j cr |n |||auu|a 140424s xx d u 9783540680932 (eBook) 3540680934 (eBook) (iLib)UPD-00214608368 DLC DML eng DMLUC QA 372 S28 2011eb Sauter, Stefan A. author. Boundary element methods [electronic resource] by Stefan A. Sauter, Christoph Schwab. Berlin, Heidelberg Springer Berlin Heidelberg 2011. 1 online resource (xvii, 561 p.) ill. Springer Series in Computational Mathematics 39 Preface -- Introduction -- Elliptic Differential Equations -- Elliptic Boundary Integral Equations -- Boundary Element Methods -- Generating the Matrix Coefficients -- Solution of Linear Systems of Equations -- Cluster Methods -- Parametric Surface Approximation -- A Posteriori Error Estimation -- Bibliography -- Index of Symbols -- Index. IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems  in IR3. 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 fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Boundary element methods. Galerkin methods. Differential equations, Elliptic. Integral equations. Error analysis (Mathematics). Electronic books. aSchwab, Christoph. author. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://www.springer.com/gp/book/9783540680925 FO Monograph UPD DMLR Electronic Resource