Iterative Methods for Model Reduction by Domain Decomposition

Details Iterative Methods for Model Reduction by Domain Decomposition Iterative Methods for Model Reduction by Domain Decomposition

2007-12-05

arxiv.org/abs/0712.0691v1

Physics

Classical Physics

Scientific paper

We propose a method to reduce the computational effort to solve a partial differential equation on a given domain. The main idea is to split the domain of interest in two subdomains, and to use different approximation methods in each of the two subdomains. In particular, in one subdomain we discretize the governing equations by a canonical scheme, whereas in the other one we solve a reduced order model of the original problem. Different approaches to couple the low-order model to the usual discretization are presented. The effectiveness of these approaches is tested on numerical examples pertinent to non-linear model problems including the Laplace equation with non-linear boundary conditions and the compressible Euler equations.

Affiliated with

Also associated with

No associations

Rating

Iterative Methods for Model Reduction by Domain Decomposition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Iterative Methods for Model Reduction by Domain Decomposition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Iterative Methods for Model Reduction by Domain Decomposition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-310542