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This paper presents a novel analysis technique using the multi-domain boundary element method (MDBEM) to solve large-scale engineering problems. Firstly, boundary integral equations for solving general heat conduction and mechanics problems are presented, which are established for a single medium and are formulated in terms of physical quantities at internal, boundary and interface points. Then a sparse system of equations formulated in terms of only interface nodal quantities is assembled based on the three-step variable condensing technique. Finally, a robust linear equation solution method is presented for solving the sparse system based on a row elimination-back-substitution method (REBSM). Combining REBSM and MDBEM makes the boundary element method more efficient for solving large practical engineering problems. A numerical example is given to demonstrate the efficiency of the proposed method.

A multi-domain boundary element analysis technique based on a row limination-back-substitution method for solving large-scale engineering problems