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Can I read The Role of the Multiquadric Shape Parameters in Solving Elliptic Partial Differential Equations on EtoBox?
The Role of the Multiquadric Shape Parameters in Solving Elliptic Partial Differential Equations by J. Wertz; E.J. Kansa; L. Ling is a Engineering article available to read on EtoBox.
What is The Role of the Multiquadric Shape Parameters in Solving Elliptic Partial Differential Equations about?
This study examines the generalized multiquadrics (MQ), Cj (x) = [(x -xj)2 + c~]~ in the numerical solutions of elliptic two-dimensional partial differential equations (PDEs) with Dirichlet boundary conditions. The exponent /9 as well as c~ can be classified as shape parameters since these affect the shape of the MQ basis function. We examined variations of 3 as well as c~ where c~ can be different over the interior and on the boundary. The results show that increasing ¢3 has the most important effect on convergence, followed next by distinct sets of (c~)n\on << (c~)oa. Additional convergence accelerations were obtained by permitting both (c~)n\oa and (c~)oa to oscillate about its mean value with amplitude of approximately 1/2 for odd and even values of the indices. Our results show high orders of accuracy as the number of data centers increases with some simple heuristics.
Who reads The Role of the Multiquadric Shape Parameters in Solving Elliptic Partial Differential Equations?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- J. Wertz; E.J. Kansa; L. Ling
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0898-1221)
- Published
- 2006
- Language
- EN
- Field
- Engineering (Physical Sciences)