engleski

Application of the Solution Structure Method in Numerically Solving Poisson’s Equation on the Basis of Atomic Functions

This paper summarizes the main principles of the solution structure method and presents it in combination with atomic basis functions and a collocation technique. The solution of a boundary value problem is expressed in the form of formulae called solution structures, which depend on three components: the first component describes the geometry of the domain exactly in analytical form, the second describes all boundary conditions exactly, and the third component, that contains information about the differential equation, is the unknown component represented by a linear combination of atomic basis functions. The proposed method is applied to solve the torsion problem.

Meshless method ; solution structure ; collocation ; boundary conditions ; atomic functions

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