Performance analysis of a parallel finite element solution to the direct numerical simulation of fluid turbulence on Linux PC clusters

2006 ◽  
Vol 172 (2) ◽  
pp. 731-743 ◽  
Author(s):  
Chun-Ho Liu ◽  
Chat-Ming Woo ◽  
Dennis Y.C. Leung
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Performance Analysis ◽  
Direct Numerical Simulation ◽  
Finite Element Solution ◽  
Element Solution ◽  
Fluid Turbulence ◽  
Parallel Finite Element

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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