A finite element solution strategy based on Padé approximants for fast multiple frequency sweeps of coupled elastic, poroelastic, and internal acoustic problems

2013 ◽  
Vol 133 (5) ◽  
pp. 3241-3241
Author(s):  
Romain Rumpler ◽  
Peter Göransson
Keyword(s):  
Finite Element ◽  
Padé Approximants ◽  
Finite Element Solution ◽  
Element Solution ◽  
Multiple Frequency ◽  
Solution Strategy ◽  
Pade Approximants ◽  
Frequency Sweeps

Finite element solution strategy for viscous dissipation in porous medium

2019 ◽  
Author(s):  
Sarfaraz Kamangar ◽  
Maughal Ahmed Ali Baig ◽  
Azeem ◽  
N. Ameer Ahamad ◽  
Irfan Anjum Badruddin
Keyword(s):  
Finite Element ◽  
Porous Medium ◽  
Viscous Dissipation ◽  
Finite Element Solution ◽  
Element Solution ◽  
Solution Strategy

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

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