Superconvergent estimates of conforming finite element method for nonlinear time‐dependent Joule heating equations

DOI10.1002/num.22202zbMath1390.65056OpenAlexW2754368582MaRDI QIDQ4603184

Huaijun Yang, Dong-Yang Shi

Publication date: 19 February 2018

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22202

zbMATH Keywords

finite element methodorder of the errorelliptic-parabolic system of nonlinear PDE

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) 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)

Related Items (5)

New superconvergence estimates of FEM for time-dependent Joule heating problem ⋮ Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem ⋮ Novel superconvergence analysis of a low order FEM for nonlinear time-fractional Joule heating problem ⋮ Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect ⋮ Unconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equations

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