Natural Boundary Integral Method for Irregular Plate Problems
Natural boundary integral method is applied to deal with plate problems defined in irregular domains. We divide the solution into two parts, a particular solution for inhomogeneous biharmonic equation and the general solution for homogeneous biharmonic equation. For the former, the direct expansion method of boundary conditions is used to treat the arbitrary domains, and the processes of natural boundary integral method coupling with finite element method are omitted. Numerical experiments show that the method is very simple and of high accuracy.
L. L. Du and X. H. Wu, "Natural Boundary Integral Method for Irregular Plate Problems", Applied Mechanics and Materials, Vols. 138-139, pp. 693-698, 2012