scholarly journals Chebyshev tau meshless method based on the highest derivative for solving a class of two-dimensional parabolic problems

2013 ◽  
Author(s):  
Wenting Shao ◽  
Xionghua Wu
Keyword(s):  
Meshless Method ◽  
Parabolic Problems ◽  
Two Dimensional

Fictitious Domain Solution of Frequency Response Problems

1999 ◽  
Author(s):  
Sudarsanam Chellappa ◽  
Giuseppe C. A. DeRose ◽  
Alejandro R. Diaz
Keyword(s):  
Frequency Response ◽  
Meshless Method ◽  
Degrees Of Freedom ◽  
Convergence Rates ◽  
Iterative Solvers ◽  
Fictitious Domain ◽  
Solution Technique ◽  
Two Dimensional ◽  
Solution Strategy ◽  
Arbitrary Geometries

Abstract This paper discusses an alternative solution strategy for frequency response problems in elasticity. This strategy uses a meshless method, derived in a periodic domain setting, extended to allow the analysis of arbitrary geometries with the use of a fictitious domain. This solution technique is designed to solve problems with a large number of degrees of freedom and it requires the use of iterative solvers where preconditioning is necessary for reasonable convergence rates. Two dimensional examples illustrating this approach are provided.

scholarly journals A meshless method for solving a two‐dimensional transient inverse geometric problem

2013 ◽  
Vol 23 (5) ◽  
pp. 790-817 ◽  
Author(s):  
Michael Dawson ◽  
Duncan Borman ◽  
Robert B. Hammond ◽  
Daniel Lesnic ◽  
Dominic Rhodes
Keyword(s):  
Meshless Method ◽  
Two Dimensional ◽  
Geometric Problem
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