Exponential meshes and $\mathcal{H}$-matrices (Q2679355)

scientific article; zbMATH DE number 7644009

Language	Label	Description	Also known as
English	Exponential meshes and $\mathcal{H}$-matrices	scientific article; zbMATH DE number 7644009

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instance of

scholarly article

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title

Exponential meshes and $\mathcal{H}$-matrices (English)

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19 January 2023

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full work available at URL

https://arxiv.org/abs/2203.09925

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zbMATH Keywords

FEM

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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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Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices

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Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions

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Q4014854

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Hierarchical matrices. A means to efficiently solve elliptic boundary value problems

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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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UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM

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Parallel Hierarchical Matrix Preconditioners for the Curl-Curl Operator

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

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Q4531674

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Thep-Version of the Finite Element Method

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Optimal error estimate of a projection based interpolation for the $p$-version approximation in three dimensions

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Q4162607

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Q4144698

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p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions

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$H^1$, $H$(curl) and $H$(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal $p$-interpolation estimates

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Covariance regularity and $\mathcal {H}$-matrix approximation for rough random fields

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Multivariate Bernstein and Markov inequalities

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Edgewise subdivision of a simplex

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Mortar coupling of $hp$-discontinuous Galerkin and boundary element methods for the Helmholtz equation

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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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${\mathcal{H}} $-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations

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Caccioppoli-type estimates and $\mathcal{H}$-matrix approximations to inverses for FEM-BEM couplings

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Optimal additive Schwarz methods for the $hp$-BEM: the hypersingular integral operator in 3D on locally refined meshes

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Construction and arithmetics of $\mathcal H$-matrices

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

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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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An efficient direct solver for the boundary concentrated FEM in 2D

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Boundary Concentrated Finite Element Methods

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Polynomial Liftings on a Tetrahedron and Applications to the h-p Version of the Finite Element Method in Three Dimensions

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On commuting $p$-version projection-based interpolation on tetrahedra

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published in

Computers & Mathematics with Applications

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAMWA.2022.11.011

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Sitelinks

Mathematics(1 entry)

mardi Publication:2679355

Exponential meshes and \(\mathcal{H}\)-matrices (Q2679355)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)