Towards A Posteriori Error Estimators for Realistic Problems in Incompressible Miscible Displacement

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_35 ◽

2012 ◽

pp. 323-331

Author(s):

J. Chapman ◽

M. Jensen

Keyword(s):

Posteriori Error ◽

Miscible Displacement ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Posteriori Error Estimators

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A posteriori error estimators for the Stokes equations

Numerische Mathematik ◽

10.1007/bf01390056 ◽

1989 ◽

Vol 55 (3) ◽

pp. 309-325 ◽

Author(s):

R. Verf�rth

Keyword(s):

Stokes Equations ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Posteriori Error Estimators

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Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2019-0329 ◽

2020 ◽

Vol 12 (3) ◽

pp. 835-848

Author(s):

Wenting Mao

Keyword(s):

Elliptic Equations ◽

Posteriori Error ◽

Semilinear Elliptic Equations ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Semilinear Elliptic ◽

Posteriori Error Estimators

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Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900370812 ◽

2001 ◽

Vol 39 (1) ◽

pp. 146-167 ◽

Author(s):

Andreas Veeser

Keyword(s):

Posteriori Error ◽

Obstacle Problems ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Posteriori Error Estimators

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A Posteriori Error Estimators for Nonconforming Approximation of Some Quasi-Newtonian Flows

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994278322 ◽

1997 ◽

Vol 34 (4) ◽

pp. 1600-1615 ◽

Author(s):

Claudio Padra

Keyword(s):

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Newtonian Flows ◽

Posteriori Error Estimators

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A posteriori error estimators, gradient recovery by averaging, and superconvergence

Numerische Mathematik ◽

10.1007/s00211-005-0671-9 ◽

2006 ◽

Vol 103 (2) ◽

pp. 267-298 ◽

Author(s):

Francesca Fierro ◽

Andreas Veeser

Keyword(s):

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

Gradient Recovery ◽

A Posteriori Error ◽

Error Estimators ◽

Posteriori Error Estimators

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A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(94)90177-5 ◽

1994 ◽

Vol 114 (3-4) ◽

pp. 307-378 ◽

Author(s):

I Babuška ◽

T Strouboulis ◽

C.S Upadhyay

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Model Study ◽

Uniform Grids ◽

Posteriori Error Estimators

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Robust residual- and recovery-based a posteriori error estimators for interface problems with flux jumps

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20629 ◽

2010 ◽

Vol 28 (2) ◽

pp. 476-491 ◽

Author(s):

Zhiqiang Cai ◽

Shun Zhang

Keyword(s):

Posteriori Error ◽

Interface Problems ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Posteriori Error Estimators ◽

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A posteriori error estimators for optimal distributed control governed by the first-order linear hyperbolic equation: DG method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20534 ◽

2009 ◽

Vol 27 (3) ◽

pp. 491-506 ◽

Author(s):

Chunguang Xiong ◽

Yuan Li

Keyword(s):

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

Linear Hyperbolic Equation ◽

A Posteriori Error ◽

Error Estimators ◽

First Order ◽

Dg Method ◽

Posteriori Error Estimators ◽

Optimal Distributed Control

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A posteriori error estimators for stabilized finite element approximations of an optimal control problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.05.036 ◽

2018 ◽

Vol 340 ◽

pp. 147-177 ◽

Author(s):

Alejandro Allendes ◽

Enrique Otárola ◽

Richard Rankin

Keyword(s):

Optimal Control ◽

Finite Element ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Stabilized Finite Element ◽

Error Estimators ◽

Finite Element Approximations ◽

Posteriori Error Estimators

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A POSTERIORI ERROR ESTIMATORS VIA BUBBLE FUNCTIONS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202596000031 ◽

1996 ◽

Vol 06 (01) ◽

pp. 33-41 ◽

Author(s):

ALESSANDRO RUSSO

Keyword(s):

Finite Element ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

Element Space ◽

A Posteriori Error ◽

Error Estimators ◽

Bubble Functions ◽

Posteriori Error Estimators

In this paper we discuss a way to recover a classical residual-based error estimator for elliptic problems by using a finite element space enriched with bubble functions. The advection-dominated case is also discussed.

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