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- W3021665892 abstract "We consider the approximation of the inverse of the finite element stiffness matrix in the data sparse $mathcal{H}$-matrix format. For a large class of shape regular but possibly non-uniform meshes including graded meshes, we prove that the inverse of the stiffness matrix can be approximated in the $mathcal{H}$-matrix format at an exponential rate in the block rank. Since the storage complexity of the hierarchical matrix is logarithmic-linear and only grows linearly in the block-rank, we obtain an efficient approximation that can be used, e.g., as an approximate direct solver or preconditioner for iterative solvers." @default.
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- W3021665892 date "2020-05-11" @default.
- W3021665892 modified "2023-09-27" @default.
- W3021665892 title "Approximating inverse FEM matrices on non-uniform meshes with $mathcal{H}$-matrices" @default.
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