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TheWeak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

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摘要 In this paper,we solve linear parabolic integral differential equations using the weak Galerkin finite element method(WG)by adding a stabilizer.The semidiscrete and fully-discrete weak Galerkin finite element schemes are constructed.Optimal convergent orders of the solution of the WG in L^(2) and H^(1) norm are derived.Several computational results confirm the correctness and efficiency of the method.
出处 《Advances in Applied Mathematics and Mechanics》 SCIE 2020年第1期164-188,共25页 应用数学与力学进展(英文)
基金 supported in part by China Natural National Science Foundation(No.11901015)and China Postdoctoral Science Foundation(Nos.2018M640013 and 2019T120008) The research of Ran Zhang was supported in part by China Natural National Science Foundation(Nos.91630201,U1530116,11726102,11771179,93K172018Z01,11701210,JJKH20180113KJ and 20190103029JH) by the Program for Cheung Kong Scholars of Ministry of Education of China,Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education.
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