Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem (Q5232281)

scientific article; zbMATH DE number 7100335

Language	Label	Description	Also known as
English	Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem	scientific article; zbMATH DE number 7100335

Statements

instance of

scholarly article

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title

Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem (English)

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author

Michael Feischl

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published in

SIAM Journal on Numerical Analysis

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publication date

2 September 2019

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full work available at URL

https://arxiv.org/abs/1710.08289

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zbMATH Keywords

Stokes

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adaptive algorithm

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optimality

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finite element method

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quasi-orthogonality

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MaRDI profile type

MaRDI publication profile

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cites work

LU-factorization of order bounded operators on Banach sequence spaces

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Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods

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Energy norm based error estimators for adaptive BEM for hypersingular integral equations

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An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition

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Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations

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A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity

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Adaptive finite element methods with convergence rates

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STABILITY OF HIGHER ORDER TRIANGULAR HOOD-TAYLOR METHODS FOR THE STATIONARY STOKES EQUATIONS

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Mixed and Hybrid Finite Element Methods

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Axioms of adaptivity

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Optimal adaptive nonconforming FEM for the Stokes problem

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The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust

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Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method

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Quasioptimal cardinality of AFEM driven by nonresidual estimators

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Convergence and optimality of adaptive mixed finite element methods

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Q2729546

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Stability of multiscale transformations

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Convergence and quasi-optimality of an adaptive finite element method for controlling \(L_{2}\) errors

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Instance optimality of the adaptive maximum strategy

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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation

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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation

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Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems

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Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method

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Adaptive boundary element methods with convergence rates

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On the equivalence of fractional-order Sobolev semi-norms

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Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem

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Propriétés des matrices ``bien localisées'' près de leur diagonale et quelques applications. (Properties of matrices ``well localized'' near the diagonal and some applications)

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Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation

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On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection

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An Optimal Adaptive Finite Element Method for the Stokes Problem

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Instance optimal Crouzeix–Raviart adaptive finite element methods for the Poisson and Stokes problems:

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Decay rates of adaptive finite elements with Dörfler marking

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Localization of matrix factorizations

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Convergence of a standard adaptive nonconforming finite element method with optimal complexity

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A BASIC CONVERGENCE RESULT FOR CONFORMING ADAPTIVE FINITE ELEMENTS

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A natural adaptive nonconforming FEM of quasi-optimal complexity

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Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions

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A convergence proof for adaptive finite elements without lower bound

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Optimality of a standard adaptive finite element method

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The completion of locally refined simplicial partitions created by bisection

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Error estimates for a mixed finite element approximation of the Stokes equations

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Identifiers

zbMATH Open document ID

1422.65383

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DOI

10.1137/17M1153170

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5232281