Galerkin difference methods and applications to wave equations

Authors
Jacangelo, John
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Other Contributors
Banks, Jeffrey W.
Henshaw, William D.
Li, Fengyan
Hicken, Jason
Issue Date
2019-05
Keywords
Mathematics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
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Abstract
The Galerkin Difference (GD) method, a finite element method built using standard Galerkin projection but employing nonstandard basis functions, was originally developed for one space dimension in [J. W. Banks and T. Hagstrom, On Galerkin difference methods, J. Comput. Phys., 313 (2016), pp. 310-327]. The C^0 basis was derived by considering standard piecewise continuous polynomial interpolation. The resulting GD approximations were found to have excellent properties both in terms of their accuracy and computational efficiency. Here the method is extended to two space dimensions and to higher derivative operators.
Description
May 2019
School of Science
Department
Dept. of Mathematical Sciences
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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