Author(s)

T. Tran-Cong & T. Nguyen-Thien

Abstract

This paper reports a three-dimensional boundary element implementation of a new integral equation formulation of elastostatic or Stokes flow prob- lems. The problems considered are those with unclosed surfaces where either displacement/velocity or traction is specified. The advantage of this formu- lation is that the resulting boundary integral equations are always of the second kind (in terms of surface potentials) and therefore their discretised version is numerically well-conditioned. The resulting discretised system of equations is found to behave extremely well with an iterative solver based on a conjugate gradient method. Examples both in three-dimensional elas- tostatics and Stokes flows are given to demonstrate the method. Also, an extension of the metho

Keywords