A local method for solutions in two-dimensional potential theory and linear elasticity
نویسندگان
چکیده
A numerical method called the Boundary Walk Method (BWM) is used to solve problems in two-dimensional potential theory and linear elasticity in multiply connected domains. The BWM is a local method in the sense that it directly gives the solution at the point of interest. It is based on a global integral representation of the unknown function in the form of a potential, followed by evaluating the integrals in the resulting series solution using Monte Carlo simulation. Appropriate integral formulations which can be used with the BWM to solve problems in potential theory and linear elasticity in multiply-connected domains are presented. Numerical results for some sample problems based on these formulations are also presented. 2004 Elsevier Ltd. All rights reserved.
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