Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates

SIAM Journal on Numerical Analysis ◽

10.1137/16m1056171 ◽

2017 ◽

Vol 55 (1) ◽

pp. 400-418 ◽

Author(s):

Zhiqiang Cai ◽

Cuiyu He ◽

Shun Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Priori ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Interface Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Discontinuous Finite Element

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Recovery type a posteriori error estimates in finite element methods

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf02941963 ◽

2001 ◽

Vol 8 (2) ◽

Author(s):

Zhimin Zhang ◽

Ningning Yan

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems

CALCOLO ◽

10.1007/s10092-014-0122-z ◽

2014 ◽

Vol 52 (4) ◽

pp. 407-424 ◽

Author(s):

Jikun Zhao ◽

Shaochun Chen ◽

Bei Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems

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A posteriori error estimates in finite element methods for general Friedrichs' systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00093-6 ◽

2000 ◽

Vol 184 (1) ◽

pp. 39-47 ◽

Author(s):

B. Achchab ◽

A. Agouzal ◽

J. Baranger ◽

J.F. Maitre

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Friedrichs Systems

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Functional-type a posteriori error estimates for mixed finite element methods

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/156939805775122271 ◽

2005 ◽

Vol 20 (4) ◽

Author(s):

S. I. Repin ◽

A. Smolianski

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Mixed Finite Element Methods ◽

Functional Type ◽

A Posteriori ◽

A Posteriori Error

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A tutorial in elementary finite element error analysis: A systematic presentation of a priori and a posteriori error estimates

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(97)00230-2 ◽

1998 ◽

Vol 158 (1-2) ◽

pp. 1-22 ◽

Author(s):

James R Stewart ◽

Thomas J.R Hughes

Keyword(s):

Finite Element ◽

Error Analysis ◽

Error Estimates ◽

A Priori ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

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A review of some a posteriori error estimates for adaptive finite element methods

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2008.12.019 ◽

2010 ◽

Vol 80 (8) ◽

pp. 1589-1600 ◽

Author(s):

Karel Segeth

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Adaptive Finite Element ◽

A Posteriori ◽

Adaptive Finite Element Methods ◽

A Posteriori Error

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A Posteriori Error Estimates for Finite Element Methods for Systems of Nonlinear, Dispersive Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00143-4 ◽

2022 ◽

Author(s):

Ohannes A. Karakashian ◽

Michael M. Wise

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Dispersive Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Nonlinear Dispersive Equations

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Analysis of adaptive finite element methods for −εU″+U′=F based on a-posteriori error estimates

Theory and Applications of Singular Perturbations - Lecture Notes in Mathematics ◽

10.1007/bfb0094749 ◽

1982 ◽

pp. 207-227 ◽

Author(s):

Hans-Jürgen Reinhardt

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Adaptive Finite Element ◽

A Posteriori ◽

Adaptive Finite Element Methods ◽

A Posteriori Error

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Residual a posteriori error estimates for two-level finite element methods for the Navier–Stokes equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(00)00058-1 ◽

2001 ◽

Vol 37 (4) ◽

pp. 503-518 ◽

Author(s):

Volker John

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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A posteriori error estimates of finite element methods for nonlinear quadratic boundary optimal control problem

Numerical Analysis and Applications ◽

10.1134/s1995423911030037 ◽

2011 ◽

Vol 4 (3) ◽

pp. 210-222 ◽

Author(s):

Z. Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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