Devising superconvergent HDG methods by M-decompositions

Loading...

View/Download File

Fu_umn_0130E_17066.pdf (1.88 MB)

Persistent link to this item

https://hdl.handle.net/11299/182270

Statistics

View Statistics

Journal Title

Journal ISSN

Volume Title

Title

Devising superconvergent HDG methods by M-decompositions

Authors

Fu, Guosheng

Published Date

2016-05

Publisher

Type

Thesis or Dissertation

Abstract

In this thesis, we develop the concept of an M-decomposition as an effective tool for devising high-order accurate hybridizable discontinuous Galerkin methods and hybridized mixed methods that superconverge on unstructured meshes of shape-regular polyhedral elements for three linear elliptic partial differential equations, namely, the (steady-state) diffusion equation, the equations for linear elasticity, and the equations for incompressible Stokes flow.

Keywords

discontinuous Galerkin

hybridization

M-decomposition

mixed methods

Description

University of Minnesota Ph.D. dissertation. May 2016. Major: Mathematics. Advisor: Bernardo Cockburn. 1 computer file (PDF); xi, 260 pages.

Related to

Replaces

License

Collections

Dissertations

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Suggested citation

Fu, Guosheng. (2016). Devising superconvergent HDG methods by M-decompositions. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/182270.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.