Zp. Li et Mb. Reed, CONVERGENCE ANALYSIS FOR AN ELEMENT-BY-ELEMENT FINITE-ELEMENT METHOD, Computer methods in applied mechanics and engineering, 123(1-4), 1995, pp. 33-42
This paper describes an element-by-element iterative finite element al
gorithm for linear elasticity problems. While it does not claim to com
pete with conventional finite element solvers on a serial computer, it
is very suitable for parallelization. It is constructed in a manner v
ery similar to the Static Relaxation algorithm used in the Discrete El
ement Method, thus facilitating the development of a unified FEM/DEM a
nalysis. The convergence properties of the algorithm are analysed, and
illustrated on a model problem.