Direct and approximate algorithmic methods for solving self-adjoint elliptic PDEs in three-space dimensions |
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Authors: | Elias A. Lipitakis |
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Affiliation: | Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire, UK |
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Abstract: | The numerical implementation of the extended to the limit sparse LDLT factorization solution methods for three-dimensional self-adjoint elliptic partial differential equations [3] is given. Two FORTRAN routines for the approximate (or exact) factorization of the coefficient matrix and solution of the resulting finite difference equations are supplied. The amount of fill-in terms can be controlled by the user through parameters R1, R2 the limiting case being when the matrix is factorized exactly. |
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Keywords: | 65F10 Self-adjoint elliptic partial differential equations solution of linear systems three-space dimensions parallelepiped |
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