A Priori Error Estimates for Some Discontinuous Galerkin Immersed Finite Element Methods

Tao Lin; Qing Yang; Xu Zhang

doi:10.1007/s10915-015-9989-3

A Priori Error Estimates for Some Discontinuous Galerkin Immersed Finite Element Methods

Journal of Scientific Computing ◽

10.1007/s10915-015-9989-3 ◽

2015 ◽

Vol 65 (3) ◽

pp. 875-894 ◽

Cited By ~ 20

Author(s):

Tao Lin ◽

Qing Yang ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

A Priori ◽

A Priori Error Estimates ◽

Immersed Finite Element ◽

Priori Error Estimates ◽

Immersed Finite Element Methods

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A Priori Error Estimates for Finite Element Methods forH(2,1)-Elliptic Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2013.811600 ◽

2013 ◽

Vol 35 (2) ◽

pp. 153-176 ◽

Cited By ~ 2

Author(s):

Thomas Apel ◽

Thomas G. Flaig ◽

Serge Nicaise

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Elliptic Equations ◽

A Priori ◽

A Priori Error Estimates ◽

Priori Error Estimates

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A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s003614290037174x ◽

2001 ◽

Vol 39 (3) ◽

pp. 902-931 ◽

Cited By ~ 232

Author(s):

Béatrice Rivière ◽

Mary F. Wheeler ◽

Vivette Girault

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Priori ◽

Elliptic Problems ◽

A Priori Error Estimates ◽

Approximation Spaces ◽

Discontinuous Approximation ◽

Priori Error Estimates

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A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems

Numerische Mathematik ◽

10.1007/s00211-011-0438-4 ◽

2011 ◽

Vol 121 (3) ◽

pp. 397-431 ◽

Cited By ~ 10

Author(s):

Assyr Abdulle ◽

Gilles Vilmart

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Priori ◽

Elliptic Problems ◽

Numerical Quadrature ◽

A Priori Error Estimates ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Priori Error Estimates

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A Priori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for Compressible Miscrible Displacement with Molecular Diffusion and Dispersion

Journal of Computational Mathematics ◽

10.4208/jcm.1006-m2991 ◽

2011 ◽

Vol 29 (1) ◽

pp. 91-107 ◽

Cited By ~ 9

Author(s):

Jiming Yang and Yanping Chen

Keyword(s):

Finite Element ◽

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Molecular Diffusion ◽

Mixed Finite Element ◽

A Priori ◽

A Priori Error Estimates ◽

Priori Error Estimates

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_23 ◽

2011 ◽

pp. 445-466

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation

SIAM Journal on Numerical Analysis ◽

10.1137/19m1240873 ◽

2019 ◽

Vol 57 (4) ◽

pp. 1897-1918 ◽

Cited By ~ 1

Author(s):

Vanja Nikolić ◽

Barbara Wohlmuth

Keyword(s):

Finite Element ◽

Wave Equation ◽

Acoustic Wave ◽

Error Estimates ◽

A Priori ◽

Finite Element Approximation ◽

A Priori Error Estimates ◽

Element Approximation ◽

Acoustic Wave Equation ◽

Priori Error Estimates

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Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity: Mixed Finite Element Approximations

Journal of Scientific Computing ◽

10.1007/s10915-020-01284-z ◽

2020 ◽

Vol 84 (2) ◽

Author(s):

Shun Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Priori ◽

Interface Problems ◽

A Priori Error Estimates ◽

Low Regularity ◽

Finite Element Approximations ◽

Priori Error Estimates

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A priori error estimates for a mixed finite element discretization of the Richards’ equation

Numerische Mathematik ◽

10.1007/s00211-003-0509-2 ◽

2004 ◽

Vol 98 (2) ◽

pp. 353-370 ◽

Cited By ~ 24

Author(s):

Eckhard Schneid ◽

Peter Knabner ◽

Florin Radu

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Priori ◽

A Priori Error Estimates ◽

Richards Equation ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates

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A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20591 ◽

2010 ◽

Vol 27 (6) ◽

pp. 1456-1482 ◽

Cited By ~ 12

Author(s):

M. Vlasák ◽

V. Dolejší ◽

J. Hájek

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

A Priori Error Estimates ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Priori Error Estimates ◽

Diffusion Problems

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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 ◽

10.1137/17m1163311 ◽

2018 ◽

Vol 56 (5) ◽

pp. 2963-2988 ◽

Cited By ~ 2

Author(s):

Andrea Bonito ◽

Alan Demlow ◽

Justin Owen

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Priori ◽

Beltrami Operator ◽

A Priori Error Estimates ◽

Eigenvalues And Eigenfunctions ◽

Finite Element Approximations ◽

Priori Error Estimates

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