Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates

Advances in Computational Mathematics ◽

10.1007/s10444-004-7617-0 ◽

2006 ◽

Vol 25 (1-3) ◽

pp. 135-160 ◽

Author(s):

Dong Mao ◽

Lihua Shen ◽

Aihui Zhou

Keyword(s):

Finite Element ◽

Error Estimates ◽

Eigenvalue Problems ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error ◽

Local Averaging

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A note on the residual type a posteriori error estimates for finite element eigenpairs of nonsymmetric elliptic eigenvalue problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.02.015 ◽

2014 ◽

Vol 82 ◽

pp. 51-67 ◽

Author(s):

Yidu Yang ◽

Lingling Sun ◽

Hai Bi ◽

Hao Li

Keyword(s):

Finite Element ◽

Error Estimates ◽

Eigenvalue Problems ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Eigenvalue Problems

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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 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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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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Computable two-sided a posteriori error estimates for h-adaptive Finite Element Method

Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues ◽

10.1201/b20057-96 ◽

2016 ◽

pp. 449-453

Author(s):

O Ostapov ◽

O Vovk ◽

H Shynkarenko

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error ◽

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Applications of Lobatto polynomials to an adaptive finite element method: A posteriori error estimates for HP-Adaptivity and Grid-to-Grid Interpolation

Numerische Mathematik ◽

10.1007/s00211-002-0424-y ◽

2003 ◽

Vol 94 (2) ◽

pp. 367-401 ◽

Author(s):

Peter K. Moore

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error ◽

Grid Interpolation

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Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00319-4 ◽

2001 ◽

Vol 190 (32-33) ◽

pp. 4289-4299 ◽

Author(s):

Ningning Yan ◽

Aihui Zhou

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

A Posteriori ◽

Gradient Recovery ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Irregular Meshes

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Adaptive finite element methods for conservation laws based on a posteriori error estimates

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160480302 ◽

1995 ◽

Vol 48 (3) ◽

pp. 199-234 ◽

Author(s):

Claes Johnson ◽

Anders Szepessy

Keyword(s):

Finite Element ◽

Conservation Laws ◽

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 and Adaptive Finite Element Computations for Singularly Perturbed one Space Dimensional Parabolic Equations

Analytical and Numerical Approaches to Asymptotic Problems in Analysis, Proceedings ofthe Conference on Analytical and Numerical Approachesto Asymptotic Problems - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)71111-3 ◽

1981 ◽

pp. 213-233 ◽

Author(s):

Hans-Jürgen Reinhardt

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Singularly Perturbed ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error

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Local averaging type a posteriori error estimates for the nonlinear steady-state Poisson-Nernst–Planck equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113874 ◽

2021 ◽

pp. 113874

Author(s):

Ying Yang ◽

Ruigang Shen ◽

Mingjuan Fang ◽

Shi Shu

Keyword(s):

Steady State ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Local Averaging

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