Abstract
The canonical boundary element method, proposed and developed by K. Feng and D. Yu, is based on same variational principle as the finite element method, and has many distinctive advantages (see [1–4, 10–21]). Because the canonical reduction faithfully preserves all the essential characteristics of the original elliptic problem, especially, it preserves the energy functional, the canonical boundary element method is fully compatible with the finite element method. The coupling of canonical BEM and FEM is direct and natural. Its total stiffness matrix is just the sum of matrices obtained by BEM and FEM respectively. So this coupling is much ampler and easier to apply than other couplings of BEM and FEM, which are indirect generally.
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