2026-09-19T13:32:08Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/29810 2023-07-10 col_2142_5131 col_2142_10761 com_2142_5130 com_2142_10755 com_2142_234

Erickson, Jeff G. Mont, Alexander D. 2012-02-06T20:18:29Z 2012-02-06T20:18:29Z 2012-02-06T20:18:29Z 2011-12 We describe the spacetime discontinuous Galerkin method, a new type of finite-element method which promises dramatic improvement in solution speed for hyperbolic problems. These methods require the generation of spacetime meshes that satisfy a special causality constraint. This work focuses on the extension of the existing 2d×time spacetime meshing algorithm known as TentPitcher to 3d×time problems. We review existing work based on TentPitcher. Then, we extend TentPitcher to 3d×time and derive methods for handling mesh adaptivity operations. Next, we describe the software we have developed to implement our algorithms and give preliminary results of testing. We also identify unresolved theoretical and engineering issues associated with our new methods and suggest directions for further research. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-08-23T19:42:03Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 AlexMontMastersThesis.tex: 105530 bytes, checksum: 41115e2725267bbc5907d522a21814cb (MD5) Mont_Alexander.pdf: 1637680 bytes, checksum: 63ad014db92010f750e1df56331e5757 (MD5) Made available in DSpace on 2012-02-06T20:18:29Z (GMT). No. of bitstreams: 3 Mont_Alexander.pdf: 1568275 bytes, checksum: de0bcf9bb79bd361f9a1b1204e24b4fc (MD5) license.txt: 4061 bytes, checksum: 12c32d8f484028cc69a19208566a559e (MD5) AlexMontMastersThesis.tex: 105530 bytes, checksum: 41115e2725267bbc5907d522a21814cb (MD5) http://hdl.handle.net/2142/29810 en Copyright 2011 Alexander Mont. spacetime meshing discontinuous Galerkin adaptive meshing advancing front Adaptive unstructured spacetime meshing for four-dimensional spacetime discontinuous Galerkin finite element methods Computer Science 1434 Computer Science 0112 University of Illinois at Urbana-Champaign Thesis M.S. MS:Computer Science -UIUC 10KS0112MS