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

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thesis
posted on 13.08.2019 by Difeng Cai
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.

History

Degree Type

Doctor of Philosophy

Department

Mathematics

Campus location

West Lafayette

Advisor/Supervisor/Committee Chair

Zhiqiang Cai

Additional Committee Member 2

Peijun Li

Additional Committee Member 3

Guang Lin

Additional Committee Member 4

Jie Shen

Licence

Exports