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Uniform convergence of finite volume element method with Crouzeix–Raviart element for non-self-adjoint and indefinite elliptic problems
Authors:Chunjia Bi  Hongxing Rui
Affiliation:

aDepartment of Mathematics, Yantai University, Yantai, Shandong 264005, China

bSchool of Mathematics and System Science, Shandong University, Jinan 250100, China

Abstract:In this paper, we consider the finite volume element method based on the Crouzeix–Raviart element and prove the existence, uniqueness and uniform convergence of the finite volume element approximations for the non-self-adjoint and indefinite elliptic problems under minimal elliptic regularity assumption.
Keywords:Finite volume element method   Crouzeix–Raviart element   Uniform convergence   Indefinite problems
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