The robust Parallel Finite Element Method examined in  and . It is an element-wise parallel iterative solution method based on a Red-Black domain decomposition. Convection-diffusion problems are solved in an optimal order for a method which makes use of not more than local communication. For the parallellism, the recent paper  shows that a near perfect load-balance can be obtained for two-dimensional problems. This paper proves that one of the conditions which is sufficient in the two-dimensional case, unexpectedly is not so for the three-dimensional case.
|Title of host publication||Progress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004)|
|Editors||A. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier|
|Place of Publication||Berlin|
|Publication status||Published - 2006|
|Name||Mathematics in Industry|