{"id":{"repo_id":"buffalo","oai_identifier":"oai:ubir.buffalo.edu:10477/79992"},"canonical_url":"https://search.dev.ndltd.org/etd/buffalo/oai:ubir.buffalo.edu:10477/79992","repository":{"repo_id":"buffalo","name":"Buffalo","base_url":"https://ubir.buffalo.edu/oai/request"},"display":{"title":"Geometric Multigrid for Unstructured Finite Elements: Implementation and Applications","abstract":"Ph.D.","abstract_html":"Ph.D.","abstract_has_math":false,"creators":["Boutkov, Boris; 0000-0002-9134-0769"],"institution":"State University of New York at Buffalo","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Bauman, Paul","Computational and Data Enabled Sciences"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-07-30T15:11:41Z","date_published":"2019-07-30T15:11:41Z","updated_at":"2026-07-27T19:05:21Z","subjects":["applied mathematics"],"languages":["eng"],"rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10477/79992","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Bauman, Paul","Computational and Data Enabled Sciences"]},{"key":"dc:creator","label":"Author","values":["Boutkov, Boris; 0000-0002-9134-0769"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2019-07-30T15:11:41Z","2019","2019-05-16 18:36:02"]},{"key":"dc:publisher","label":"Institution","values":["State University of New York at Buffalo"]},{"key":"dc:type","label":"Dc Type","values":["Text","Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["applied mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/10477/79992"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Ph.D.","In the realm of computational science, a fundamental interest lies in our ability to construct models of complex phenomenon and probe them in order to gain understanding and make predictions about the systems at hand. Yet for these predictions to hold value, we must assert confidence in them and perform them with maximum efficiency so that we can provide timely analysis. This CDSE dissertation addresses the above consideration directly by designing a project which composes and investigates such complex simulations, evolves them forward in time, and strives to control the error in the results. A large expense of this project is due to the computationally cumbersome nature of the simulation and its design and analysis. Due to these concerns, the implementation focuses on high speed, reusable, and modular components which allow for the framework to later be adapted to a variety of other problems. Specifically, we discuss the application of these principles to simulations pertaining to nonlinear elasticity and thermally coupled flows; problems which serve as perfect examples of experiments which while difficult and expensive to perform and analyze in physical experiments are, although computationally nuanced, manageable from a numerical simulation standpoint."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Geometric Multigrid for Unstructured Finite Elements: Implementation and Applications"]}]}],"canonical_facts":{"dc:contributor":["Bauman, Paul","Computational and Data Enabled Sciences"],"dc:creator":["Boutkov, Boris; 0000-0002-9134-0769"],"dc:date":["2019-07-30T15:11:41Z","2019","2019-05-16 18:36:02"],"dc:description":["Ph.D.","In the realm of computational science, a fundamental interest lies in our ability to construct models of complex phenomenon and probe them in order to gain understanding and make predictions about the systems at hand. Yet for these predictions to hold value, we must assert confidence in them and perform them with maximum efficiency so that we can provide timely analysis. This CDSE dissertation addresses the above consideration directly by designing a project which composes and investigates such complex simulations, evolves them forward in time, and strives to control the error in the results. A large expense of this project is due to the computationally cumbersome nature of the simulation and its design and analysis. Due to these concerns, the implementation focuses on high speed, reusable, and modular components which allow for the framework to later be adapted to a variety of other problems. Specifically, we discuss the application of these principles to simulations pertaining to nonlinear elasticity and thermally coupled flows; problems which serve as perfect examples of experiments which while difficult and expensive to perform and analyze in physical experiments are, although computationally nuanced, manageable from a numerical simulation standpoint."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/10477/79992"],"dc:language":["eng"],"dc:publisher":["State University of New York at Buffalo"],"dc:rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"dc:subject":["applied mathematics"],"dc:title":["Geometric Multigrid for Unstructured Finite Elements: Implementation and Applications"],"dc:type":["Text","Dissertation"]},"updated_at":"2026-07-27T19:05:21Z"}