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- W2047996438 abstract "The second-order diffusion operator given by $mathcal{L}u = nabla cdot ({bf K}nabla u)$ is studied in terms of finite element numerical solutions. When a standard Galerkin finite element approximation of the operator is arranged in a specific manner, a condition of positive connection values is imposed that is necessary to produce an M-matrix in a linear system when boundary nodes are properly handled. In two dimensions, the condition is achieved when a Delaunay triangulation is imposed. However, it is shown that a three-dimensional Delaunay triangulation does not generally produce a discretisation satisfying the condition. Further, it is generally not possible to produce a three-dimensional triangulation that satisfies the positive interior connection condition." @default.
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- W2047996438 date "1992-05-01" @default.
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- W2047996438 title "Three-Dimensional Delaunay Triangulations for Finite Element Approximations to a Second-Order Diffusion Operator" @default.
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- W2047996438 doi "https://doi.org/10.1137/0913045" @default.
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