Stabilized finite element approximations for a generalized Boussinesq problem: A posteriori error analysis

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112703 ◽

2020 ◽

Vol 361 ◽

pp. 112703

Author(s):

Alejandro Allendes ◽

César Naranjo ◽

Enrique Otárola

Keyword(s):

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Boussinesq Problem ◽

Stabilized Finite Element ◽

Finite Element Approximations ◽

Posteriori Error Analysis

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Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems

2009 International Conference on Electromagnetics in Advanced Applications ◽

10.1109/iceaa.2009.5297301 ◽

2009 ◽

Author(s):

C. Carstensen ◽

Ronald H. W. Hoppe

Keyword(s):

Finite Element ◽

Error Analysis ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Unified Framework ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Posteriori Error Analysis

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Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems

Journal of Numerical Mathematics ◽

10.1515/jnum.2009.003 ◽

2009 ◽

Vol 17 (1) ◽

Cited By ~ 4

Author(s):

C. Carstensen ◽

R. H. W. Hoppe

Keyword(s):

Finite Element ◽

Error Analysis ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Unified Framework ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Posteriori Error Analysis

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A Posteriori Error Analysis and Adaptivity for Finite Element Approximations of Hyperbolic Problems

An Introduction to Recent Developments in Theory and Numerics for Conservation Laws - Lecture Notes in Computational Science and Engineering ◽

10.1007/978-3-642-58535-7_4 ◽

1999 ◽

pp. 123-194 ◽

Cited By ~ 10

Author(s):

Endre Süli

Keyword(s):

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Hyperbolic Problems ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Posteriori Error Analysis

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A posteriori error analysis for stabilised finite element approximations of transport problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00174-2 ◽

2000 ◽

Vol 190 (11-12) ◽

pp. 1483-1508 ◽

Cited By ~ 62

Author(s):

Paul Houston ◽

Rolf Rannacher ◽

Endre Süli

Keyword(s):

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Posteriori Error Analysis ◽

Transport Problems

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A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation

BIT Numerical Mathematics ◽

10.1007/s10543-013-0424-6 ◽

2013 ◽

Vol 53 (3) ◽

pp. 689-716 ◽

Cited By ~ 2

Author(s):

Fardin Saedpanah

Keyword(s):

Differential Equation ◽

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Continuous Space ◽

Posteriori Error Analysis

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A Posteriori Error Analysis in the Finite Element Method

finite element methods ◽

10.1201/b16924-39 ◽

2016 ◽

pp. 417-426 ◽

Cited By ~ 4

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

The Finite Element Method ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Element Method

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Balancing Discretization and Iteration Error in Finite Element A Posteriori Error Analysis

Computational Methods in Applied Sciences - Numerical Methods for Differential Equations, Optimization, and Technological Problems ◽

10.1007/978-94-007-5288-7_6 ◽

2013 ◽

pp. 109-132

Author(s):

Rolf Rannacher ◽

Jevgeni Vihharev

Keyword(s):

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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A Posteriori Error Analysis and Adaptive Finite Element Methods for Electromagnetic and Acoustic Problems

Lecture Notes in Computational Science and Engineering - Modeling and Computations in Electromagnetics ◽

10.1007/978-3-540-73778-0_2 ◽

2008 ◽

pp. 39-64

Author(s):

Z. Chen

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Posteriori Error ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Adaptive Finite Element Methods ◽

A Posteriori Error ◽

Posteriori Error Analysis

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An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/100782760 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1367-1393 ◽

Cited By ~ 7

Author(s):

Sajid Memon ◽

Neela Nataraj ◽

Amiya Kumar Pani

Keyword(s):

Finite Element ◽

Error Analysis ◽

Mixed Finite Element ◽

Posteriori Error ◽

Parabolic Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Galerkin Approximations ◽

Posteriori Error Analysis

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Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality

Acta Numerica ◽

10.1017/s096249290200003x ◽

2002 ◽

Vol 11 ◽

pp. 145-236 ◽

Cited By ~ 287

Author(s):

Michael B. Giles ◽

Endre Süli

Keyword(s):

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

Integral Functionals ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Adjoint Methods ◽

A Posteriori Error ◽

Recent Developments ◽

Posteriori Error Analysis

We give an overview of recent developments concerning the use of adjoint methods in two areas: the a posteriori error analysis of finite element methods for the numerical solution of partial differential equations where the quantity of interest is a functional of the solution, and superconvergent extraction of integral functionals by postprocessing.

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