scholarly journals MULTIVARIATE PADÉ APPROXIMANTS FOR FINITE ELEMENT SOLUTIONS WITH COMPLEX PARAMETRIC DEPENDENCE

2019 ◽  
Author(s):  
Romain Rumpler ◽  
Raúl Rodríguez Sánchez ◽  
Peter Göransson
Keyword(s):  
Finite Element ◽  
Padé Approximants ◽  
Parametric Dependence ◽  
Pade Approximants

Approximating Eigenvalues and Eigenvectors Using Padé Approximants

1993 ◽  
Author(s):  
Judy M. Vance ◽  
James E. Bernard
Keyword(s):  
Finite Element ◽  
Curve Fitting ◽  
Padé Approximants ◽  
Interactive Design ◽  
Fast Method ◽  
Eigenvalues And Eigenvectors ◽  
Optimization Scheme ◽  
Pade Approximants ◽  
Design Changes ◽  
Wide Range

Abstract Design optimization of finite element-based structures can be very compute intensive thus inhibiting interactive design. The research presented here outlines a fast method for approximating eigenvalues and eigenvectors across a wide range of design changes. An optimization scheme is described that combines Padé Approximants with curve-fitting techniques to achieve good approximations for large design changes.

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