A nonconforming scheme to solve the parabolic problem

DOI10.1016/j.amc.2015.04.089zbMath1410.65380OpenAlexW260257867MaRDI QIDQ1664186

Shicang Song, Liying Jiang, Ming Sun

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.089

zbMATH Keywords

discontinuous Galerkin methodsuperconvergenceparabolic problemnonconforming semi-discrete schemeWilson nonconforming element

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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)

Related Items (5)

A nonconforming scheme for non-Fickian flow in porous media ⋮ Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation ⋮ Unconditional superconvergence analysis of two modified finite element fully discrete schemes for nonlinear Burgers' equation ⋮ A new approach of superconvergence analysis of nonconforming Wilson finite element for semi-linear parabolic problem ⋮ Unnamed Item

Cites Work

• Superconvergence analysis of Wilson element on anisotropic meshes
• A discontinuous \(hp\) finite element method for diffusion problems
• Superconvergence analysis and error expansion for the Wilson nonconforming finite element
• Explicit error estimates for the nonconforming Wilson's element
• Explicit Error Estimates for Mixed and Nonconforming Finite Elements
• An Interior Penalty Finite Element Method with Discontinuous Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• Galerkin Methods for Parabolic Equations
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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