Journal of Computational and Applied Mathematics: Volume 234 Issue 7, August, 2010
Publisher: Elsevier Science Publishers B. V.
This paper proposes an original decomposition approach to the upper bound method of limit analysis. It is based on a mixed finite element approach and on a convex interior point solver, using linear or quadratic discontinuous velocity fields. Presented in plane strain, this method appears to be rapidly convergent, as ...
Limit analysis, Convex optimization, Decomposition, Finite element method, Mixed approach, Porous material
Mathematical Programming: Series A and B: Volume 27 Issue 3, October 1983
Publisher: Springer-Verlag New York, Inc.
This paper reports computational experience with the codesDecompsx andLift which are built on IBM's MPSX/370 LP software for large-scale structured programs.Decompsx is an implementation of the Dantzig-Wolfe decomposition algorithm for block-angular LP's.Lift is an implementation of a nested decomposition algorithm for staircase and block-triangular LP's. A diverse collection of test ...
Large-Scale Systems, Decomposition Algorithms, Structured Linear Programs, Optimization Software