This book provides a rigorous and systematic account of the modern mathematical theory of Boundary Element Methods, including the requisite background on general partial differential equation methods, Sobolev spaces, Pseudodifferential and Fredholm operators, and finite elements. The book is principally concerned with presenting mathematical formulations of boundary integral equations (BIE) for the most important linear elliptic boundary value problems (BVP) including the potential, Helmholtz, thin plate and elastostatics ...
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This book provides a rigorous and systematic account of the modern mathematical theory of Boundary Element Methods, including the requisite background on general partial differential equation methods, Sobolev spaces, Pseudodifferential and Fredholm operators, and finite elements. The book is principally concerned with presenting mathematical formulations of boundary integral equations (BIE) for the most important linear elliptic boundary value problems (BVP) including the potential, Helmholtz, thin plate and elastostatics equations, and discussing their computational algorithms and the accuracy of their solutions. Boundary Element Methods combines the mathematical rigour necessary for a full understanding of the subject with extensive examples of applications illustrated with computer graphics.
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