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- W1608437602 abstract "An adaptive finite element algorithm for elliptic boundary value problems in ℝ3 is presented. The algorithm uses linear finite elements, a-posteriori error estimators, a mesh refinement scheme based on bisection of tetrahedra, and a multi-grid solver. We show that the repeated bisection of an arbitrary tetrahedron leads to only a finite number of dissimilar tetrahedra, and that the recursive algorithm ensuring conformity of the meshes produced terminates in a finite number of steps. A procedure for assigning numbers to tetrahedra in a mesh based on a-posteriori error estimates, indicating the degree of refinement of the tetrahedron, is also presented. Numerical examples illustrating the effectiveness of the algorithm are given." @default.
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- W1608437602 date "1999-01-01" @default.
- W1608437602 modified "2023-09-23" @default.
- W1608437602 title "Tetrahedral Bisection and Adaptive Finite Elements" @default.
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- W1608437602 doi "https://doi.org/10.1007/978-1-4612-1556-1_2" @default.
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