الفهرس | Only 14 pages are availabe for public view |
Abstract The Boundary Element Method is a technique which offers important advantage over domain type solutions. One of the most interesting features of the method is the much smaller systems of equations and considerable reduction of the data required to run a problem. This method is also well suited to problem solving with infinite domains. It is used to indicate the method whereby the external surface of the domain is divided into a series of elements over which the functions under consideration can vary in different ways. The boundary method can be formulated in terms of influence functions and as such as frequently found in the literature under the general title Boundary Integral Method. In the present work the boundary element technique is applied to solve steady and time dependent problems. Time dependent linear elliptic partial differential equations are solved in two dimensions using potential method. This effectively reduces the dimensionality of the problem throughout the time domain. However, due to the presence of the convective terms, domain integrals need also to be computed. A theory based on the solution of a singular integral equation is developed for calculating the frequency |