Abstract
By partitioning solution space into a number of subspaces, a new multiply constrained partitioned Newton Raphson nonlinear equation solver is developed. Specifically, for a given iteration, each of the various separate partitions are individually and simultaneously controlled. Due to the generality of the scheme, a hierarchy of partition levels can be employed. For finite element type applications, this includes the possibility of degree of freedom, nodal, elemental, geometric substructural, material and kinematically nonlinear group controls. Note, such partitioning can be continuously updated depending on solution conditioning. In this context, convergence is ascertained at the individual partition level. To verify the numerical properties of the scheme, several formal theorems are derived. These enable the evaluation of solution conditioning. In addition to purely formal considerations, the results of several numerical experiments are presented. These involve problems exhibiting large deformation kinematic, as well as, pre and postbuckling behavior.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
