Abstract
In this paper new extendable sparse symmetric factorisation procedures are presented for the solution of self adjoint elliptic partial differential equations. The derived iterative methods are shown to be both competitive and computationally efficient in comparison with existing schemes. The application of the methods to a linear and non-linear elliptic boundary value problem in 2 dimensions is discussed and numerical results given.
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Evans, D.J., Lipitakis, E.A. Implicit semi-direct methods based on root-free sparse factorization procedures. BIT 23, 193–208 (1983). https://doi.org/10.1007/BF02218440
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DOI: https://doi.org/10.1007/BF02218440