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Approximating inverse FEM matrices on non-uniform meshes with \(\mathcal{H}\)-matrices - MaRDI portal

Approximating inverse FEM matrices on non-uniform meshes with \(\mathcal{H}\)-matrices (Q2044546)

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Language	Label	Description	Also known as
English	Approximating inverse FEM matrices on non-uniform meshes with \(\mathcal{H}\)-matrices	scientific article

Statements

scholarly article

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Approximating inverse FEM matrices on non-uniform meshes with \(\mathcal{H}\)-matrices (English)

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Niklas Angleitner

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Markus Faustmann

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Jens Markus Melenk

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publication date

9 August 2021

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full work available at URL

https://arxiv.org/abs/2005.04999

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zbMATH Keywords

finite element methods

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\(\mathcal{H}\)-matrices

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approximability

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non-uniform meshes

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Efficient inversion of the Galerkin matrix of general second-order elliptic operators with nonsmooth coefficients

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Why Finite Element Discretizations Can Be Factored by Triangular Hierarchical Matrices

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Existence of \(\mathcal H\)-matrix approximants to the inverse FE-matrix of elliptic operators with \(L^\infty\)-coefficients

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Direct and inverse error estimates for finite elements with mesh refinements

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Approximation of solution operators of elliptic partial differential equations by \({\mathcal H}\)- and \({\mathcal H}^2\)-matrices

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Efficient numerical methods for non-local operators. \(\mathcal H^2\)-matrix compression, algorithms and analysis.

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\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices

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Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator

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Existence of $\mathscr{H}$-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator

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Construction and arithmetics of \(\mathcal H\)-matrices

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Performance Of H-Lu Preconditioning For Sparse Matrices

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Adaptive geometrically balanced clustering of \({\mathcal H}\)-matrices

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Parallel black box $$\mathcal {H}$$ -LU preconditioning for elliptic boundary value problems

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A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices

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Hierarchical Matrices: Algorithms and Analysis

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The eigenvalue problem for the 2D Laplacian in \({\mathcal H}\)-matrix arithmetic and application to the heat and wave equation

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Rapid solution of integral equations of classical potential theory

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Multiscale Bases for the Sparse Representation of Boundary Integral Operators on Complex Geometry

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Multiwavelets for Second-Kind Integral Equations

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Scattered Data Approximation

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10092-021-00413-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:2044546

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