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ROBUST AND EXPLICIT A POSTERIORI ERROR ESTIMATION TECHNIQUES IN ADAPTIVE FINITE ELEMENT METHOD

The thesis presents a comprehensive study of a posteriori error estimation in the adaptive solution to some classical elliptic partial differential equations. Several new error estimators are proposed for diffusion problems with discontinuous coefficients and for convection-reaction-diffusion problems with dominated convection/reaction. The robustness of the new estimators is justified theoretically. Extensive numerical results demonstrate the robustness of the new estimators for challenging problems and indicate that, compared to the well-known residual-type estimators, the new estimators are much more accurate.

  1. 10.25394/pgs.8304383.v1
Identiferoai:union.ndltd.org:purdue.edu/oai:figshare.com:article/8304383
Date13 August 2019
CreatorsDifeng Cai (5929550)
Source SetsPurdue University
Detected LanguageEnglish
TypeText, Thesis
RightsCC BY 4.0
Relationhttps://figshare.com/articles/ROBUST_AND_EXPLICIT_A_POSTERIORI_ERROR_ESTIMATION_TECHNIQUES_IN_ADAPTIVE_FINITE_ELEMENT_METHOD/8304383

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