Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure
Texte intégral
Documents relatifs
Firstly, the stabilization term T stab,2 is used in two of our proofs: first to ensure the convergence of the discretization of the mass convection flux div(ρu) and, second, for
Beside the convergence of the scheme, it also provides an existence result for solutions of the continuous problem, which could also be derived from the continuous existence
In reservoir engineering, many equations express nonlinear behaviour due to effects of the time interval, variation in fluid and formation properties
Method of Asymptotic Partial Domain Decomposition for Non-steady Problems: heat Equation on a Thin Structure1. Mathematical Communications, Department of
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des
On the other hand, we refer to the work of Vila and Villedieu [VV03], who prove, again under a strict CFL condition, an h 1/2 -error estimate in the L 2 loc space-time norm for
On one hand, the dis- cretization of the pressure gradient term is built as the discrete transposed of the velocity divergence term, the latter being evaluated using a natural
Convergence of a finite element method for the drift-diffusion semiconductor device equations: the zero diffusion case... Thermal equilibrium at the boundary in 2-D: evolution of