Accuracy of the finite element solution of a wave problem with a non-planar perfectly matched layer

2001 ◽  
Vol 37 (5) ◽  
pp. 3246-3250 ◽  
Author(s):  
L.B. Proekt ◽  
I.A. Tsukerman
Keyword(s):  
Finite Element ◽  
Perfectly Matched Layer ◽  
Finite Element Solution ◽  
Element Solution ◽  
Wave Problem

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.

Sign in / Sign up

Export Citation Format

Share Document