Overcoming Geometric Limitations in the Finite Element Method by Means of Polynomial Extension: Application to Second Order Elliptic Boundary Value and Interface Problems

In this dissertation, we present a new approach for approximating the solution of second order partial differential equations and interface problems. This approach is based on the classical finite element method, where instead of using geometric manipulations to fit the discrete domain to the curved...

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Bibliographic Details
Other Authors: Cheung, James (author)
Format: Others
Language:English
English
Published: Florida State University
Subjects:
Online Access:http://purl.flvc.org/fsu/fd/2018_Sp_Cheung_fsu_0071E_14328