Iteration Methods for Potential Problems

Thomas S. Angell, Ralph E. Kleinman and Gary F. Roach
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Thomas S. Angell: University of Delaware, Department of Mathematical Sciences
Ralph E. Kleinman: University of Delaware, Department of Mathematical Sciences
Gary F. Roach: University of Strathclyde, Department of Mathematics

A chapter in Potential Theory, 1988, pp 13-28 from Springer

Abstract: Abstract Two iteration methods are considered as a means of constructing solutions of various integral equation formulations of the exterior Dirichlet and Neumann potential problems. These integral equations may be of the second kind, in which case the integral operators will in general be non self-adjoint, or of the first kind, which in the Dirichlet case leads to self-adjoint operators.

Keywords: Iteration Method; Boundary Integral Equation; Iteration Scheme; Unique Solvability; Neumann Series (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4613-0981-9_3

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