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IMA Journal of Applied Mathematics 1979 23(2):223-234; doi:10.1093/imamat/23.2.223
© 1979 by Institute of Mathematics and its Applications
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An Implicit Matching Principle for Global Element Calculations

L. M. DELVES1 and C. A. HALL2

1Department of Computational and Statistical Science, University of Liverpool
2Department of Mathematics and Statistics, University of Pittsburgh

A variational method is described which allows elliptic boundary value problems with complex domains to be solved as a set of coupled problems over simple subdomains (global elements); the trial functions used need not satisfy any of the boundary conditions.

For smooth problems the method retains the rapid convergence of the global variational approach; a major advantage however is that rapid convergence should also be attainable for singular problems. In many cases the method will be simpler to use than the finite element method.


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