Coupling FEM and BEM for computationally efficient solutions of multi-physics and multi-domain problems
Purpose - To present numerical approaches to the solution of physically coupled non-linear problems, which frequently happen to be characterized by their multi-domain character. Design/methodology/approach - By adopting coupled solution strategies a considerable attention is devoted, in order to obtain a computationally efficient numerical algorithm, to the selection of appropriate space and time discretization, as well as to a proper discrete approximation method used. Findings - Coupling of two methods, the finite element method and the boundary element method, respectively, has proved to be computationally exceedingly advantageous, particularly in case of moving domains. Practical implications - As specific case studies computer simulation of an induction heating problem and a mushy-state forming problem are considered. A thorough discussion on the coupling effects, characterizing the evolutions of respective physical quantities' fields, is given, and their impact on those evolutions is identified. Originality/value - This paper presents efficient numerical strategies for the solution of a certain class of multi-physics and multi-domain problems.
simulation finite element analysis numerical analysis linear programming mechanical systems