Optimal error estimates and recovery technique of a mixed finite element method for nonlinear thermistor equations

DOI10.1093/IMANUM/DRAA063OpenAlexW3081527979MaRDI QIDQ5077086

Sun, Weiwei, Chengda Wu, Huadong Gao

Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/draa063

zbMATH Keywords

nonlinear parabolic systemsemi-implicit schemethermistor equationsoptimal error estimates: mixed finite element methods

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (5)

Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity ⋮ Existence of capacity solution for a nonlocal thermistor problem in Musielak-Orlicz-Sobolev spaces ⋮ A new error analysis and post-processing technique of the lowest-order Raviart-Thomas mixed finite element method for parabolic problems ⋮ Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations ⋮ Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator

This page was built for publication: Optimal error estimates and recovery technique of a mixed finite element method for nonlinear thermistor equations