scientific article; zbMATH DE number 810476

zbMath0834.65096MaRDI QIDQ4852179

Weidong Zhao

Publication date: 29 October 1995

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

heat equationoptimal error estimatesmixed finite element methodJoule heatingelliptic equationthermistor problemsystem of nonlinear partial differential equationsdiscrete Gronwall inequalityBramble lemmadiscrete energy estimates

Mathematics Subject Classification ID

PDEs of mixed type (35M10) 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)

Related Items (9)

New superconvergence estimates of FEM for time-dependent Joule heating problem ⋮ A Second Order Unconditionally Convergent Finite Element Method for the Thermal Equation with Joule Heating Problem ⋮ Superconvergence analysis of finite element method for time-fractional thermistor problem ⋮ Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem ⋮ Superconvergent estimates of conforming finite element method for nonlinear time‐dependent Joule heating equations ⋮ Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations ⋮ Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon ⋮ Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations ⋮ Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations

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