An optimum finite element technique to calculate oxygen concentration in tumoured tissue (Q1117157)

The aim of this paper is to find a suitable finite element method for solving a tissue problem in a semi-infinite strip with a singularity at the origin. The problem is modelled using Laplace's equation in an infinite strip, simplified to a semi-infinite strip. An analytic form of the solution is derived and this is used for comparing with the finite element solution obtained in the semi-infinite strip using novel infinite elements. Numerical results for various values of the parameters present in the solution are reported and an optimum solution is presented.