This book presents a unified theory of the Finite Element Method
and the Boundary Element Method for a numerical solution of second
order elliptic boundary value problems. This includes the
solvability, stability, and error analysis as well as efficient
methods to solve the resulting linear systems. Applications are the
potential equation, the system of linear elastostatics and the
Stokes system. While there are textbooks on the finite element
method, this is one of the first books on Theory of Boundary
Element Methods. It is suitable for self study and exercises are
included.
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