A convergence proof is given for an abstract parabolic equation using general space decomposition techniques. The space decomposition technique may be a domain decomposition method, a multilevel method, or a multigrid method. It is shown that if the Euler or Crank-Nicolson scheme is used for the par
Non-Monotone Space Decomposition Methods for Minimization Problems
✍ Scribed by S. Keesmann; W. Mönch
- Publisher
- John Wiley and Sons
- Year
- 2002
- Weight
- 110 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1617-7061
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Lions's work on the Schwarz alternating method for convex minimization problems is generalized to a certain non-smooth situation where the non-differentiable part of the functionals is additive and independent with respect to the decomposition. Such functionals arise naturally in plasticity where th
A new space±time domain decomposition method (STDDM) is presented. The space±time domain is partitioned in subdomains, and dierent discretizations are used in each space±time subdomain. Timeintegration in space±time variational methods is derived in a dierent manner from what has been presented so f
This paper describes methods for computing measures related to shortest paths in networks with discrete random arc lengths. These measures include the probability that there exists a path with length not exceeding a specified value and the probability that a given path is shortest. The proposed meth
This paper presents the implementation of advanced domain decomposition techniques for parallel solution of large-scale shape sensitivity analysis problems. The methods presented in this study are based on the FETI method proposed by Farhat and Roux which is a dual domain decomposition implementatio