Boundary Element Methods: 39 (Springer Series in by Stefan Sauter,Christoph Schwab

By Stefan Sauter,Christoph Schwab

This paintings offers an intensive remedy of boundary aspect tools (BEM) for fixing strongly elliptic boundary essential equations got from boundary aid of elliptic boundary worth difficulties  in $mathbb{R}^3$. The e-book is self-contained, the must haves on elliptic partial differential and indispensable equations being awarded in Chapters 2 and three. the focus is at the improvement, research, and implementation of Galerkin boundary aspect tools, that's probably the most versatile and strong numerical discretization equipment for indispensable equations. For the effective recognition of the Galerkin BEM, it's necessary to substitute time-consuming steps within the numerical resolution approach with speedy algorithms. In Chapters 5-9 those tools are constructed, analyzed, and formulated in an algorithmic way.

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