Galerkin difference methods and applications to wave equations
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Authors
Jacangelo, John
Issue Date
2019-05
Type
Electronic thesis
Thesis
Thesis
Language
ENG
Keywords
Mathematics
Alternative Title
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
School of Science
Full Citation
Publisher
Rensselaer Polytechnic Institute, Troy, NY