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Trefftz Methods and Taylor Series
https://orcid.org/0000-0002-0785-2092
Abstract The paper discusses Trefftz discretization techniques with a focus on their coupling with shape functions computed by the method of Taylor series. The paper highlights are, on one hand the control of ill-conditioning and the solving of large scale problems, on the other hand the applications to non-linear Partial Differential Equations. Indeed, despite excellent convergence properties, the practical use of Trefftz methods remains very limited because of their difficulty in treating nonlinearities and large systems.
Trefftz Methods and Taylor Series
https://orcid.org/0000-0002-0785-2092
Abstract The paper discusses Trefftz discretization techniques with a focus on their coupling with shape functions computed by the method of Taylor series. The paper highlights are, on one hand the control of ill-conditioning and the solving of large scale problems, on the other hand the applications to non-linear Partial Differential Equations. Indeed, despite excellent convergence properties, the practical use of Trefftz methods remains very limited because of their difficulty in treating nonlinearities and large systems.
Trefftz Methods and Taylor Series
https://orcid.org/0000-0002-0785-2092
Abstract The paper discusses Trefftz discretization techniques with a focus on their coupling with shape functions computed by the method of Taylor series. The paper highlights are, on one hand the control of ill-conditioning and the solving of large scale problems, on the other hand the applications to non-linear Partial Differential Equations. Indeed, despite excellent convergence properties, the practical use of Trefftz methods remains very limited because of their difficulty in treating nonlinearities and large systems.
Trefftz Methods and Taylor Series
Yang, Jie (author) / Potier-Ferry, Michel (author) / Akpama, Koffi (author) / Hu, Heng (author) / Koutsawa, Yao (author) / Tian, Haitao (author) / Zézé, Djédjé Sylvain (author)
2019
Article (Journal)
Electronic Resource
English
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