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Inf-sup stability of geometrically unfitted Stokes finite elements

Mathematics of computation, 2018-09, Vol.87 (313), p.2091-2112

2018

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Conforming and divergence-free Stokes elements on general triangular meshes

Mathematics of computation, 2014-01, Vol.83 (285), p.15-36

2014

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The Scott-Vogelius finite elements revisited

Mathematics of computation, 2019-03, Vol.88 (316), p.515-529

2019

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INF-SUP STABLE FINITE ELEMENTS ON BARYCENTRIC REFINEMENTS PRODUCING DIVERGENCE-FREE APPROXIMATIONS IN ARBITRARY DIMENSIONS

SIAM journal on numerical analysis, 2018-01, Vol.56 (5), p.2826-2844

2018

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Exact smooth piecewise polynomial sequences on Alfeld splits

Mathematics of computation, 2020-05, Vol.89 (323), p.1059-1091

2020

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Exact sequences on Worsey--Farin splits

Mathematics of computation, 2022-11, Vol.91 (338), p.2571

2022

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Low-order divergence-free approximations for the Stokes problem on Worsey–Farin and Powell–Sabin splits

Computer methods in applied mechanics and engineering, 2022-02, Vol.390, p.114444, Article 114444

2022

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A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

Mathematics of computation, 2008-10, Vol.77 (264), p.1887-1916

2008

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Hybridization and postprocessing in finite element exterior calculus

Mathematics of computation, 2023, Vol.92 (339), p.79-115

2023

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Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D

IMA journal of numerical analysis, 2024-08, Vol.44 (4), p.1911-1945

2024

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Superconvergent discontinuous Galerkin methods for second-order elliptic problems

Mathematics of computation, 2009-01, Vol.78 (265), p.1-24

2009

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Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions

IMA journal of numerical analysis, 2023-04, Vol.43 (2), p.663-691

2023

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A new elasticity element made for enforcing weak stress symmetry

Mathematics of computation, 2010-07, Vol.79 (271), p.1331-1349

2010

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A Note on the Shape Regularity of Worsey–Farin Splits

Journal of scientific computing, 2023-05, Vol.95 (2), p.46, Article 46

2023

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New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem

SIAM journal on numerical analysis, 2020-01, Vol.58 (4), p.2165-2192

2020

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Conforming and divergence-free Stokes elements in three dimensions

IMA journal of numerical analysis, 2014-10, Vol.34 (4), p.1489-1508

2014

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Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators

Journal of mathematical analysis and applications, 2021-10, Vol.502 (1), p.125246, Article 125246

2021

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On the accuracy of finite element approximations to a class of interface problems

Mathematics of computation, 2016-09, Vol.85 (301), p.2071-2098

2016

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Stability and error analysis of a splitting method using Robin–Robin coupling applied to a fluid–structure interaction problem

Numerical methods for partial differential equations, 2022-09, Vol.38 (5), p.1396-1406

2022

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A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation

SIAM journal on numerical analysis, 2021-01, Vol.59 (5), p.2746-2774

2021

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A discrete elasticity complex on three-dimensional Alfeld splits

Numerische Mathematik, 2024-02, Vol.156 (1), p.159-204, Article 159

2024

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A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast

Journal of scientific computing, 2017-10, Vol.73 (1), p.330-365

2017

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Continuous interior penalty stabilization for divergence-free finite element methods

IMA journal of numerical analysis, 2024-04, Vol.44 (2), p.980-1002

2024

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A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems

SIAM journal on scientific computing, 2009-01, Vol.31 (5), p.3827-3846

2009

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Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty

ESAIM: Mathematical Modelling and Numerical Analysis, 2022-01, Vol.56 (1), p.349-383

2022

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Inf-sup stability of geometrically unfitted Stokes finite elements

Conforming and divergence-free Stokes elements on general triangular meshes

The Scott-Vogelius finite elements revisited

INF-SUP STABLE FINITE ELEMENTS ON BARYCENTRIC REFINEMENTS PRODUCING DIVERGENCE-FREE APPROXIMATIONS IN ARBITRARY DIMENSIONS

Exact smooth piecewise polynomial sequences on Alfeld splits

Exact sequences on Worsey--Farin splits

Low-order divergence-free approximations for the Stokes problem on Worsey–Farin and Powell–Sabin splits

A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

Hybridization and postprocessing in finite element exterior calculus

Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D

Superconvergent discontinuous Galerkin methods for second-order elliptic problems

Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions

A new elasticity element made for enforcing weak stress symmetry

A Note on the Shape Regularity of Worsey–Farin Splits

New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem

Conforming and divergence-free Stokes elements in three dimensions

Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators

On the accuracy of finite element approximations to a class of interface problems

Stability and error analysis of a splitting method using Robin–Robin coupling applied to a fluid–structure interaction problem

A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation

A discrete elasticity complex on three-dimensional Alfeld splits

A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast

Continuous interior penalty stabilization for divergence-free finite element methods

A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems

Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty

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