\(\mathrm{EQ}_1^{\mathrm{rot}}\) nonconforming finite element method for nonlinear dual phase lagging heat conduction equations

DOI10.1007/s10255-013-0205-7zbMath1312.65164OpenAlexW2058248563MaRDI QIDQ1945985

Yan-Min Zhao, Fen-Ling Wang, Dong-Yang Shi

Publication date: 17 April 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-013-0205-7

zbMATH Keywords

superconvergenceerror estimateextrapolationsemi-discrete schemefully-discrete schemesuperclose\(\mathrm{EQ}_1^{\mathrm{rot}}\) nonconforming finite elementnonlinear dual phase lagging heat conduction equations

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

A new nonconforming mixed finite element scheme for second order eigenvalue problem ⋮ A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient ⋮ Nonconforming finite element analysis for Poisson eigenvalue problem ⋮ Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem ⋮ Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation

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