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math.NA2014
A Reduced Radial Basis Function Method for Partial Differential Equations on irregular domains
Yanlai Chen, Sigal Gottlieb, Alfa Heryudono +1
We propose and test the first Reduced Radial Basis Function Method (RBFM) for solving parametric partial differential equations on irregular domains. The two major ingredients…
math.NA2014
Parametric Analytical Preconditioning and its Applications to the Reduced Collocation Methods
Yanlai Chen, Sigal Gottlieb, Yvon Maday
In this paper, we extend the recently developed reduced collocation method \cite{ChenGottlieb} to the nonlinear case, and propose two analytical preconditioning strategies. One is…