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An analysis of domain decomposition methods using deal.II

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dc.contributor.authorRigsby, Christina, author
dc.contributor.authorTavener, Simon, advisor
dc.contributor.authorBangerth, Wolfgang, committee member
dc.contributor.authorHeyliger, Paul, committee member
dc.contributor.authorLiu, Jiangguo, committee member
dc.date.accessioned2022-01-07T11:29:00Z
dc.date.available2022-01-07T11:29:00Z
dc.date.issued2021
dc.description.abstractIterative solvers have attracted significant attention since the mid-20th century as the computational problems of interest have grown to a size beyond which direct methods are viable. Projection methods, and the two classical iterative schemes, Jacobi and Gauss-Seidel, provide a framework in which many other methods may be understood. Parallel methods or Jacobi-like methods are particularly attractive as Moore's Law and computer architectures transition towards multiple cores on a chip. We implement and explore two such methods, the multiplicative and restricted additive Schwarz algorithms for overlapping domain decomposition. We implement these in deal.II software, which is written in C++ and uses the finite element method. Finally, we point out areas for potential improvement in the implementation and present a possible extension of this work to an agent-based modeling prototype currently being developed by the Air Force Research Laboratory's Autonomy Capability Team (ACT3).
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.identifierRigsby_colostate_0053N_16939.pdf
dc.identifier.urihttps://hdl.handle.net/10217/234190
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartof2020-
dc.rightsCopyright 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.
dc.subjectdomain decomposition
dc.subjectcomputational problems
dc.subjectprojection methods
dc.subjectparallel methods
dc.subjectcomputer architectures
dc.subjectmultiple cores on a chip
dc.titleAn analysis of domain decomposition methods using deal.II
dc.typeText
dcterms.rights.dplaThis 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).
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (M.S.)

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