Boundary integral method and applications

In the desing of engineering structures, numerical simulations play an in creasingly important role. This can be attributed to the rapid advances in computational power and software quality and the resulting decrease in the costs of computer simulations, as compared to the high costs and / or practical difficulties of experiments. Howewer, to supplement or even replace experiments, numerical simulations have to fulfil strong requirements on efficiency, accuracy, and reliability.Our simulation tool the Boundary Element Method. Jaswon and Symm have developed direct Boundary Integral Equation Methods (BIEM) for potential problems using Green?s third identity (1963). Lachat&Watson (1976) Butterfield (1977) and Brebbia (1977) have been developed the range of application was extended to other fields of mathematical physics.A common feature of all Boundary Element Methods is their use of fundamental solutions, which are free space solutions of the governing differential equations under the action of a point source.In these thesen we give some example of finding clasical equation of fundamental solutions and use in same examples.Key Words: Fundamental solution, Green Function, Boundary Integral Method