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Description
Title: | Schur's Complement and Discontinuous Galerkin Methods for Domain Decomposition Solvers and Plasticity and Interface Evolution Analyses |
Author(s): | Kulkarni, Deepak V. |
Doctoral Committee Chair(s): | Tortorelli, Daniel A. |
Department / Program: | Mechanical Engineering |
Discipline: | Mechanical Engineering |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Applied Mechanics |
Abstract: | Adaptive methods can be based on either conforming or non-conforming meshes. Though non-conforming meshes are easier to generate, they require the satisfaction of jump conditions across the non-conforming interface. In this work we develop a discontinuous Galerkin framework for such an adaptive mesh refinement. An advantage of discontinuous Galerkin schemes is that they do not introduce constraint equations and their resulting Lagrange multiplier fields as done in mixed and mortar methods. Without loss of generality we demonstrate our method by analyzing the Stefan problem of solidification. |
Issue Date: | 2005 |
Type: | Text |
Language: | English |
Description: | 73 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005. |
URI: | http://hdl.handle.net/2142/83836 |
Other Identifier(s): | (MiAaPQ)AAI3199053 |
Date Available in IDEALS: | 2015-09-25 |
Date Deposited: | 2005 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mechanical Science and Engineering
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois