Weak Galerkin mixed finite element method for heat equation

DOI10.1016/j.apnum.2017.08.009zbMath1377.65133OpenAlexW2757683240MaRDI QIDQ1675505

Qian Zhang, Hongze Zhu, Shimin Chai, Chenguang Zhou, Yongkui Zou

Publication date: 27 October 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.08.009

zbMATH Keywords

mixed finite element methodsstabilizationerror estimateheat equationsnumerical testweak Galerkin finite element methodsdiscrete weak divergence

Mathematics Subject Classification ID

Heat equation (35K05) 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)

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Cites Work

• Weak Galerkin methods for second order elliptic interface problems
• Two families of mixed finite elements for second order elliptic problems
• Symmetric finite volume discretizations for parabolic problems.
• A weak Galerkin finite element method for second-order elliptic problems
• Weak Galerkin finite element methods for Parabolic equations
• On the Stability of the Discontinuous Galerkin Method for the Heat Equation
• A weak Galerkin mixed finite element method for second order elliptic problems
• Weak Galerkin Finite Element Methods on Polytopal Meshes
• Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
• A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation
• Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem
• Galerkin Finite Element Methods for Parabolic Problems
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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