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Parallel finite element methods for coupled chloride penetration and moisture diffusion in concrete. (English) Zbl 1099.35106

This paper deals with the analysis and simulation of coupled chloride penetration and moisture diffusion in concrete. Of particular interest is the parallel programming in the FE method for solving the coupled diffusion problem. The proposed approach to solve the parallel programming problem is to use available libraries, i.e,. Portable Extensible Toolkit for scientific computation (PFTSc) and Message Passing Interface (MPI) standard. The formulation of the coupled diffusion problem, the material models involved in the differential equations, the details of parallel domain decomposition technique in the finite element algorithm are presented. The advantage of parallel programming is demonstrated by a numerical example.

MSC:

35Q35 PDEs in connection with fluid mechanics
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
35R35 Free boundary problems for PDEs
49J40 Variational inequalities
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76S05 Flows in porous media; filtration; seepage
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