Hybrid finite element solution of a quadrupole gyromagnetic waveguide

1998 ◽  
Vol 145 (1) ◽  
pp. 128
Author(s):  
B.M. Dillon ◽  
A.A.P. Gibson
Keyword(s):  
Finite Element ◽  
Finite Element Solution ◽  
Element Solution ◽  
Hybrid Finite Element

scholarly journals THE PHYSICAL BASIS OF THE MILD-SLOPE WAVE EQUATION

1984 ◽  
Vol 1 (19) ◽  
pp. 64 ◽  
Author(s):  
Lars Behrendt ◽  
Ivar G. Jonsson
Keyword(s):  
Finite Element ◽  
Wave Equation ◽  
Wave Energy ◽  
Finite Element Solution ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Element Solution ◽  
Full Understanding ◽  
Hybrid Finite Element ◽  
Separate Part

The mild-slope wave equation is derived "by demanding minimum in total wave energy. By demanding conservation of wave energy, two different functionals for the finite element solution of the mild-slope wave equation are constructed. The first functional is based on a finite/infinite element formulation, and the second one is "based on a hybrid finite element formulation. Both functionals are constructed in a straight-forward way that leads to a better physical understanding of the functionals and a full understanding of each separate part of them.

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