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oai:mountainscholar.org:10217/2438732026-03-27T11:05:44Zcom_10217_100532com_10217_100000com_10217_100468com_10217_100303col_10217_100538col_10217_100469

Wildey, Timothy, author Estep, Donald, advisor Tavener, Simon, advisor Watson, Albert Ted, committee member Liu, Jiangguo, committee member 2026-03-26T18:34:02Z 2007 https://hdl.handle.net/10217/243873 https://doi.org/10.25675/3.026560 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. doctoral dissertations English eng Colorado State University. Libraries 2000-2019 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. Per the terms of a contractual agreement, all use of this item is limited to the non-commercial use of Colorado State University and its authorized users. mathematics A posteriori analysis of operator decomposition on interface problems Text Doctor of Philosophy (Ph.D.) Doctoral Mathematics Colorado State University This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). open.access