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Trefftz Methods and Taylor Series
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DOI：10.1007/s11831-019-09330-2.png)
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摘要
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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.
Keyword:
Trefftz method
Taylor meshless
Non-linear elliptic systems
Least-square collocation
Large-scale problems
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12.1
论文数:
1.8K
被引数:
1.2W
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