A numerical solution for Laplace and Poisson's equations using geometrical transformation and graph products
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- 作者：Iman Shojaeia ; shojaei.iman@uky.edu" class="auth_mail" title="E-mail the corresponding author ; shojaei.iman@gmail.com" class="auth_mail" title="E-mail the corresponding author ; Hossein Rahamib ; Ali Kavehc
- 关键词：Efficient analysis ; Graph product rules ; Conformal mapping ; Geometrical transformation ; Mesh-free method
- 刊名：Applied Mathematical Modelling
- 出版年：2016
- 出版时间：September 2016
- 年：2016
- 卷：40
- 期：17-18
- 页码：7768-7783
- 全文大小：2627 K
文摘
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Efficient numerical solution using geometrical transformation and graph products.
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Application to Laplace and Poisson's equations.
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Mesh free formulation for rectangular domains and full decomposition of matrix equations.
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Numerical implication of the conformal mapping and computational complexity.