Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator
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Publication:3450033
DOI10.1090/mcom/2990zbMath1327.65253arXiv1311.5028OpenAlexW2114817572WikidataQ60060389 ScholiaQ60060389MaRDI QIDQ3450033
Markus Faustmann, Dirk Praetorius, Jens Markus Melenk
Publication date: 2 November 2015
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5028
boundary element methodCholesky factorizationclustering algorithminverse of the Galerkin stiffness matrixsimple-layer operator
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (10)
Caccioppoli-type estimates and \(\mathcal{H}\)-matrix approximations to inverses for FEM-BEM couplings ⋮ Local convergence of the boundary element method on polyhedral domains ⋮ Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator ⋮ Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates ⋮ \({\mathcal{H}} \)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations ⋮ Exponential meshes and \(\mathcal{H}\)-matrices ⋮ \(\mathcal{H}\)-inverses for RBF interpolation ⋮ \(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices ⋮ Approximating inverse FEM matrices on non-uniform meshes with \(\mathcal{H}\)-matrices ⋮ \({\mathscr{H}} \)-matrix approximability of inverses of discretizations of the fractional Laplacian
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