A posteriori analysis of operator decomposition on interface problems

This thesis is devoted to the a posteriori analysis of the effects of operator decomposition on interface problems. Operator decomposition offers an attractive solution strategy for multi-physics and multi-scale problems. This technique allows previously defined component codes optimized for single physics problems to be reused in an iterative manner to solve a multi-physics, multi-scale problem. This is also called loose-coupling or a partitioned approach. Unfortunately, this technique introduces additional errors due to the transfer of information between components. For interface problems, this results in a loss of accuracy for the converged approximation in the L2 norm. In this thesis, we use a posteriori analysis to detect the source of this loss of accuracy and show that a common flux recovery technique can be used to recovery the expected accuracy.

Name thesis:degree_name

Doctor of Philosophy (Ph.D.)

Level thesis:degree_level

Doctoral

Discipline thesis:degree_discipline

Mathematics

Grantor dc:publisher

Colorado State University. Libraries

Year dc:date.issued

2007

Authors dc:creator

• Wildey, Timothy, author
• Estep, Donald, advisor
• Tavener, Simon, advisor
• Watson, Albert Ted, committee member
• Liu, Jiangguo, committee member

• mathematics

Statement dc:rights

• Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.

Language dc:language.iso

eng, English

Identifier URI

https://doi.org/10.25675/3.026560

OAI identifier oai:identifier

oai:mountainscholar.org:10217/243873