Intermediate boundary corrections for split operator methods in three dimensions |
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| Authors: | A R Gourlay A R Mitchell |
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| Institution: | (1) Department of Applied Mathematics St Salvator's College, University of St Andrews, Fife, Scotland |
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| Abstract: | This paper deals with the intermediate boundary corrections required by splittings of alternating direction methods for solving three space dimensional problems involving Laplace's equation or the heat conduction equation. In addition to considering the existing splittings of Douglas and D'Yakonov, a new splitting is introduced. The extensions of the results to multidimensional problems are briefly noted. |
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| Keywords: | Elliptic parabolic alternating direction |
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