Numerical simulation for the problem of infinite elastic foundation Original Research Article

In this paper we consider the numerical simulation for the problem of infinite elastic foundation. A half circle artificial boundary is introduced and discrete artificial boundary condition on it is designed by using the direct method of lines. Then the original problem is reduced to a boundary value problem on a bounded computational domain. Furthermore, finite element approximation of this boundary value problem defined in the bounded domain is considered. The numerical results show that the artificial boundary condition given in this paper is very effective and more accurate than the Neumann boundary condition which is often used in engineering literatures.