View Thesis: Boundary element strategies and discretized Green's functions: applications in composite materials and wave mechanics
Citation:
Pan, Lingyun (1997). Boundary element strategies and discretized Green's functions: applications in composite materials and wave mechanics. , Engineering Mechanics, Iowa State University.
The Boundary Integral Equation (BIE) formulation of boundary value problems (BVPs) in engineering, mathematics and applied science, and the Boundary Element Method (BEM) of solution
of the integral equations has been an effective and popular approach for obtaining numerical data for real-world problems for more than thirty years. Mathematically, the boundary integral
formulation can be traced back to the work of Green, Gauss, Fredholm and other classical mathematicians. It was Jaswon and Symm who first realized the new role that Green’s boundary formula could
play in the formulation and solution of practical problems in potential theory. Their work gave a new life to the study of integral equations and indicated the beginning of the so-called direct BIE
method.