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Quasi-optimality of adaptive finite element methods for controlling local energy errors

Numerische Mathematik, 2016-09, Vol.134 (1), p.27-60

Demlow, Alan

2016

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Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces

Mathematics of computation, 2016-11, Vol.85 (302), p.2609-2638

2016

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CONVERGENCE OF AN ADAPTIVE FINITE ELEMENT METHOD FOR CONTROLLING LOCAL ENERGY ERRORS

SIAM journal on numerical analysis, 2010-01, Vol.48 (2), p.470-497

DEMLOW, ALAN

2010

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HIGHER-ORDER FINITE ELEMENT METHODS AND POINTWISE ERROR ESTIMATES FOR ELLIPTIC PROBLEMS ON SURFACES

SIAM journal on numerical analysis, 2009-01, Vol.47 (2), p.805-827

DEMLOW, ALAN

2009

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A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem

SIAM journal on numerical analysis, 2024-01, Vol.62 (1), p.248-272

2024

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Convergence and quasi-optimality of adaptive finite element methods for harmonic forms

Numerische Mathematik, 2017-08, Vol.136 (4), p.941-971

Demlow, Alan

2017

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Local energy estimates for the finite element method on sharply varying grids

Mathematics of computation, 2011-01, Vol.80 (273), p.1-9

2011

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Local a posteriori estimates for pointwise gradient errors in finite element methods for elliptic problems

Mathematics of computation, 2007-01, Vol.76 (257), p.19-42

Demlow, Alan

2007

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Local pointwise a posteriori gradient error bounds for the Stokes equations

Mathematics of computation, 2013-04, Vol.82 (282), p.625-649

2013

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Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems

Numerische Mathematik, 2016-08, Vol.133 (4), p.707-742

2016

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Sharply localized pointwise and W_\infty^{-1} estimates for finite element methods for quasilinear problems

Mathematics of computation, 2007-10, Vol.76 (260), p.1725-1742

Demlow, Alan

2007

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A Posteriori Error Estimates for the Laplace--Beltrami Operator on Parametric $C^2$ Surfaces

SIAM journal on numerical analysis, 2019-01, Vol.57 (3), p.973-996

2019

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CONVERGENCE AND OPTIMALITY OF HIGHER-ORDER ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE CLUSTERS

SIAM journal on numerical analysis, 2016-01, Vol.54 (4), p.2379-2388

2016

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A Divergence-Conforming Finite Element Method for the Surface Stokes Equation

SIAM journal on numerical analysis, 2020-01, Vol.58 (5), p.2764-2798

2020

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Sharply local pointwise a posteriori error estimates for parabolic problems

Mathematics of computation, 2010-07, Vol.79 (271), p.1233-1262

2010

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An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces

SIAM journal on numerical analysis, 2007-01, Vol.45 (1), p.421-442

2007

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Maximum norm a posteriori error estimates for convection–diffusion problems

IMA journal of numerical analysis, 2023-10, Vol.43 (5), p.2562-2584

2023

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L 2 and pointwise a posteriori error estimates for FEM for elliptic PDEs on surfaces

IMA journal of numerical analysis, 2015-07, Vol.35 (3), p.1199-1227

2015

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Localized pointwise error estimates for mixed finite element methods

Mathematics of computation, 2004-10, Vol.73 (248), p.1623-1653

Demlow, Alan

2004

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A PRIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS TO EIGENVALUES AND EIGENFUNCTIONS OF THE LAPLACE-BELTRAMI OPERATOR

SIAM journal on numerical analysis, 2018-01, Vol.56 (5), p.2963-2988

2018

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Suboptimal and Optimal Convergence in Mixed Finite Element Methods

SIAM journal on numerical analysis, 2002, Vol.39 (6), p.1938-1953

DEMLOW, Alan

2002

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Convergence and quasi-optimality of an adaptive finite element method for controlling L2 errors

Numerische Mathematik, 2011-02, Vol.117 (2), p.185-218

2011

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Piecewise linear finite element methods are not localized

Mathematics of computation, 2004-07, Vol.73 (247), p.1195-1201

DEMLOW, Alan

2004

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Convergence and quasi-optimality of an adaptive finite element method for controlling L 2 errors

Numerische Mathematik, 2011-02, Vol.117 (2), p.185-218

2011

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CONVERGENCE OF AN ADAPTIVE FINITE ELEMENT METHOD FOR CONTROLLING LOCAL ENERGY ERRORS

SIAM journal on numerical analysis, 2011, Vol.48 (2), p.470-497

DEMLOW, Alan

2011

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Quasi-optimality of adaptive finite element methods for controlling local energy errors

Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces

CONVERGENCE OF AN ADAPTIVE FINITE ELEMENT METHOD FOR CONTROLLING LOCAL ENERGY ERRORS

HIGHER-ORDER FINITE ELEMENT METHODS AND POINTWISE ERROR ESTIMATES FOR ELLIPTIC PROBLEMS ON SURFACES

A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem

Convergence and quasi-optimality of adaptive finite element methods for harmonic forms

Local energy estimates for the finite element method on sharply varying grids

Local a posteriori estimates for pointwise gradient errors in finite element methods for elliptic problems

Local pointwise a posteriori gradient error bounds for the Stokes equations

Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems

Sharply localized pointwise and W_\infty^{-1} estimates for finite element methods for quasilinear problems

A Posteriori Error Estimates for the Laplace--Beltrami Operator on Parametric $C^2$ Surfaces

CONVERGENCE AND OPTIMALITY OF HIGHER-ORDER ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE CLUSTERS

A Divergence-Conforming Finite Element Method for the Surface Stokes Equation

Sharply local pointwise a posteriori error estimates for parabolic problems

An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces

Maximum norm a posteriori error estimates for convection–diffusion problems

L 2 and pointwise a posteriori error estimates for FEM for elliptic PDEs on surfaces

Localized pointwise error estimates for mixed finite element methods

A PRIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS TO EIGENVALUES AND EIGENFUNCTIONS OF THE LAPLACE-BELTRAMI OPERATOR

Suboptimal and Optimal Convergence in Mixed Finite Element Methods

Convergence and quasi-optimality of an adaptive finite element method for controlling L2 errors

Piecewise linear finite element methods are not localized

Convergence and quasi-optimality of an adaptive finite element method for controlling L 2 errors

CONVERGENCE OF AN ADAPTIVE FINITE ELEMENT METHOD FOR CONTROLLING LOCAL ENERGY ERRORS

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