 
Summary: ~PERGAMON
Computers
& Structures
Computers and Structures 80 (2002) 15231536
www.elsevier.com/locate/compstruc
On applications of parallel solution techniques
for highly nonlinear problems involving static
and dynamic buckling
Th. Rottner a, K. Schweizerhof a,*, 1. Lenhardt b, G. Alefeld b
a InstituteJor Mechanics,UniversityoJKarlsruhe,Kaiserstr.12, 76128Karlsruhe,Germany
b Institute Jar Applied Mathematics, University oJ Karlsruhe, Kaiserstr. 12, 76128 Karlsruhe, Germany
Received 10 January 2001; accepted 4 May 2002
Abstract
Within this contribution the efficient finite element analysis of shell structures with highly nonlinear behavior is
presented. The coupled nonlinear system of equations resulting from the FE discretization is solved using Newtonlike
procedures, thus the solution of a linear system of equations is needed in each Newton iteration. For fine discretizations
the resulting linear systems of equations become very large and their solution dominates the computational effort.
Consequently, parallel computers offer major capabilities to reduce the CPU time needed. A geometrical approach for
parallelization is used, standard methods for the graph partitioning are employed. It is weil known that iterative
methods for the solution of linear equation systems are much more suitable for parallelizing compared to direct
