Finite difference method and its convergent error analyses for thermistor problem

DOI10.1007/s11766-999-0045-7zbMath0944.65111OpenAlexW2063880368MaRDI QIDQ1807857

Weidong Zhao

Publication date: 24 September 2000

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-999-0045-7

zbMATH Keywords

error estimatesfinite difference methodthermistor problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Technical applications of optics and electromagnetic theory (78A55) Finite difference methods for boundary value problems involving PDEs (65N06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items

Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem, Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem

Cites Work

• The approximation of the pressure by a mixed method in the simulation of miscible displacement
• A uniqueness result for the thermistor problem
• Unnamed Item