Recent Progress on A-posteriori Error Analysis for the p and h-p Finite Element Methods
نویسندگان
چکیده
This paper investigates recent progress on a-posteriori error analysis for the high-order finite element method(FEM). The paper will discuss the differences between a-posteriori error estimations for lower-order FEM and those for high-order FEM, and analyzes the technical and methodological differences on a-posteriori error estimations for high-order FEM in one dimension and in high dimensions. Based on a newly established mathematical framework of the Jacobi-weighted spaces, a-posterior error estimators and indicators for the pand h-p version of FEM are proposed, and its prospective is discussed.
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