Boundary particle method: Difference between revisions

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==Further comments==

The BPM may encounter difficulty in the solution of problems having complex source functions, such as non-smooth, large-gradient functions, or a set of discrete measured data. The road map for the BPM solution of such problems is briefly outlined belowinvolves:{{cn}}

(1) The complex functions or a set of discrete measured data can be interpolated by a sum of [[polynomial]] or [[trigonometric]] function series. Then, the RC-MRM can easily reduce the nonhomogeneous equation to a high-order homogeneous equationsequation, and the BPM can be simply implemented to solve these problems with boundary-only discretization.

(2) The [[___domain decomposition]] may be used to in the BPM boundary-only solution of large-gradient source functions problems.