A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes

In this thesis, we develop the a new immersed finite element(IFE) space formed by piecewise linear polynomials defined on sub-elements cut by the actual interface curve for solving elliptic interface problems on interface independent meshes. A group of geometric identities and estimates on interface...

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Bibliographic Details
Main Author: Guo, Ruchi
Other Authors: Mathematics
Format: Others
Language:en_US
Published: Virginia Tech 2017
Subjects:
Online Access:http://hdl.handle.net/10919/79946
http://scholar.lib.vt.edu/theses/available/etd-04032017-132806/