The Schwarz algorithm for multidomain spectral approximation of elliptic problems

CALCOLO ◽  
1993 ◽  
Vol 30 (3) ◽  
pp. 241-253
Author(s):  
S. Meddahi
Keyword(s):  
Elliptic Problems ◽  
Spectral Approximation ◽  
Schwarz Algorithm

Laguerre spectral approximation of elliptic problems in exterior domains

1990 ◽  
Vol 80 (1-3) ◽  
pp. 451-458 ◽  
Author(s):  
Olivier Coulaud ◽  
Daniele Funaro ◽  
Otared Kavian
Keyword(s):  
Elliptic Problems ◽  
Spectral Approximation ◽  
Exterior Domains

A SCHWARZ ALGORITHM FOR THREE-DIMENSIONAL DIFFRACTION PROBLEMS

2015 ◽  
Vol 74 (1) ◽  
pp. 1-8
Author(s):  
M.A. Gnatyuk ◽  
V.M. Morozov ◽  
A.M. Sjanov
Keyword(s):  
Three Dimensional ◽  
Schwarz Algorithm

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