The nullfield method for the ellipsoidal Stokes problem |
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Authors: | S Ritter |
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Institution: | Mathematisches Institut II, Universit?t Karlsruhe, D-76128 Karlsruhe, Germany Phone: +49 721 608 2048; Fax: +49 721 608 2051; email: Stefan.Ritter@math.uni-karlsruhe.de, DE
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Abstract: | The ellipsoidal Stokes problem is one of the basic boundary-value problems for the Laplace equation which arises in physical
geodesy. Up to now, geodecists have treated this and related problems with high-order series expansions of spherical and spheroidal
(ellipsoidal) harmonics. In view of increasing computational power and modern numerical techniques, boundary element methods
have become more and more popular in the last decade. This article demonstrates and investigates the nullfield method for
a class of Robin boundary-value problems. The ellipsoidal Stokes problem belongs to this class. An integral equation formulation
is achieved, and existence and uniqueness conditions are attained in view of the Fredholm alternative. Explicit expressions
for the eigenvalues and eigenfunctions for the boundary integral operator are provided.
Received: 22 October 1996 / Accepted: 4 August 1997 |
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Keywords: | , Ellipsoidal Stokes problem,Nullfield method,Boundary integral equations |
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