Linear equation solvers​

TitleLinear Equation Solvers
Author(s)Gerd-Jan Schreppers – TNO DIANA BV
PublishedJanuary 2011
KeywordsPerformance, Hardware, Iterative Solver, Direct Solver, Pardiso, Domdec


This paper explains the procedures for solving linear set of equations in DIANA.

In linear and implicit nonlinear finite element analysis the required memory and analysis time for large models is strongly depending on the chosen procedure for solving the set of linear equations. DIANA offers both direct and iterative equation solvers. It is explained which procedures should be applied for different types of models. In nonlinear analysis specific techniques such as sub-structuring and iterative corrections are explained. The effect on computation time of parallel processing is illustrated by several examples.