Work

Robust residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems

Year: 2016

Type: preprint

Abstract: We consider mixed finite element approximation of a singularly perturbed fourth-order elliptic problem with two different boundary conditions, and present a new measure of the error, whose components are balanced with respect to the perturbation parameter. Robust residual-based a posteriori estimators for the new measure are obtained, which are achieved via a novel analytical technique based on an approximation result. Numerical examples are presented to validate our theory.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1609.04506

Authors: Du, Shaohong, Lin, Runchang, Zhang, Zhimin

Institutions: Chongqing Jiaotong University, Texas A&M International University, Beijing Computational Science Research Center

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China, Texas A and M International University

Awards: G2042984870, G2660812258, G2746842099, G3715460442, 若干具有弱导数的新型计算方法的梯度重构, G5017951845, G5934128047, RUI: Investigation of Discontinuous Galerkin Least-Squares Finite Element Methods for Singularly Perturbed Problems, G814881854, G8598914340, Superconvergent post-processing of some newly developed numerical methods with weak derivatives

OpenAlex ID: W2521456313

Cites: 14

Cited by: 5

Related to: 10