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

DOI10.4208/aamm.OA-2019-0088zbMath1488.65470MaRDI QIDQ5156938

Shangyou Zhang, Ran Zhang, Xiuli Wang, Qi Long Zhai

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

discrete weak divergencediscrete weak gradientweak Galerkin finite element methodintegro-differential problem

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Integro-partial differential equations (35R09)

Related Items (5)

Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition ⋮ Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations ⋮ $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations ⋮ A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction ⋮ A modified weak Galerkin finite element method for the linear elasticity problem in mixed form

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