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MOC
1998
64views more  MOC 1998»
13 years 4 months ago
Analysis of non-overlapping domain decomposition algorithms with inexact solves
In this paper we construct and analyze new non-overlapping domain decomposition preconditioners for the solution of second-order elliptic and parabolic boundary value problems. The...
James H. Bramble, Joseph E. Pasciak, Apostol T. Va...
SIAMSC
2011
151views more  SIAMSC 2011»
13 years 4 days ago
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Xiao-Chuan Cai, Xuefeng Li
VECPAR
2004
Springer
13 years 10 months ago
Domain Decomposition Methods for PDE Constrained Optimization Problems
Abstract. Optimization problems constrained by nonlinear partial differential equations have been the focus of intense research in scientific computing lately. Current methods for...
Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan ...
AIPS
1994
13 years 6 months ago
A Framework for Automatic Problem Decomposition in Planning
An intelligent problem solver must be able to decompose a complex problem into simpler parts. A decomposition algorithm would not only be bene cial for traditional subgoal-oriente...
Qiang Yang, Shuo Bai, Guiyou Qiu
SIGGRAPH
1992
ACM
13 years 9 months ago
Interval analysis for computer graphics
This paper discusses how interval analysis can be used to solve a wide variety of problems in computer graphics. These problems include ray tracing, interference detection, polygo...
John M. Snyder