The theta‐Galerkin finite element method for coupled systems resulting from microsensor thermistor problems

摘要

> This paper is devoted to the analysis of a linearized theta‐Galerkin finite element method for the time‐dependent coupled systems resulting from microsensor thermistor problems. Hereby, we focus on time discretization based on θ ‐time stepping scheme with θ ∈ [ 1 2 , 1 ) including the standard Crank‐Nicolson ( θ = 1 2 ) and the shifted Crank‐Nicolson ( θ = 1 2 +