Block incremental unknowns for anisotropic elliptic equations
Applied Numerical Mathematics
Incremental unknowns and graph techniques in three space dimensions
Applied Numerical Mathematics
Bi-parameter incremental unknowns ADI iterative methods for elliptic problems
Numerical Algorithms
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The use of the hierarchical basis in finite element discretizations of two-dimensional elliptic partial differential equations produces matrices with condition numbers of order $O((\log h^{-1})^2)$. Standard proofs of this result are functional analytic in style. In this paper, it is shown that for uniform grids the result can be obtained using a purely linear algebraic argument.