Numerical method for solving joint thermo-diffusive problems in an infinite combined domain with thin resistant interphase
DOI:
https://doi.org/10.1260/175095409788837838Abstract
This work deals with a class of Boundary Value Problems describing jointthermo-diffussive fields in an infinite combined domain, which consists oftwo subdomains, matched by a thin intermediate layer. The main problemis reduced to an equivalent one given in the bounded subdomain, withnon-local boundary condition on the transmission surface. Such a conditionincorporates all the information about the infinite subdomain and theintermediate layer. The equivalent problem is solved by means of FiniteElement Method in frames of Matlab package. As it is not possible tointroduce the non-local boundary conditions along a part of the boundarydirectly into FEM code, a dedicated iterative subroutine is constructed.Effectiveness of the method has been checked on selected benchmarks.Accuracy and convergence of the procedure have been addressed inthe analysis.
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