Title: Variationally-Based Formulation for Partitioned Analysis

Speaker: K. C. Park, University of Colorado, Boulder

Date/Time: Monday, January 28, 2008, 9:30 – 10:30 am

Location: CSRI Building, Room 90 (Sandia NM)

Brief Abstract: A variationally based formulation for the partitioned analysis of transient and quasi-static structural mechanics and coupled physics problems is presented.  A key property of the present formulation is the derivation of the d'Alembert-Lagrange principal equations. The first part of the talk will focus on the physical properties of the principal equations and their effects on computational algorithm developments. The rest of the talk will illustrate several applications of the variationally based formulation: (1) an implicit transient analysis algorithm that can be specialized  to solve quasi-static problems while maintaining the same solution matrix profile;  (2) a duality-preserving nonmatching interface procedure; (3) a variational derivation of the FETI-DP-like multiprocessor solution method;  and, (4) a generic transformation of tight coupling into loose coupling. The present variationally based formulation and its applications presented herein subsumes many of  previously developed partitioned solution procedures and offer new physical and/or numerical insight as each of the variational  derivation process can be succinctly explained.

CSRI POC: Ken Alvin, (505) 844-9329