Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality

2014 ◽  
Vol 52 (6) ◽  
pp. 2957-2976
Author(s):  
Owe Axelsson ◽  
János Karátson ◽  
Balázs Kovács
Keyword(s):  
Elliptic Problems ◽  
Friedrichs Inequality ◽  
Convection Dominated

scholarly journals Upwind FEM for convection dominated elliptic problems

1990 ◽  
Vol 24 (1) ◽  
pp. 501-508
Author(s):  
U. Risch ◽  
G. Lube
Keyword(s):  
Elliptic Problems ◽  
Convection Dominated

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.

Multiple solutions for nonlocal elliptic problems with concave–convex nonlinearities and weights

2021 ◽  
pp. 207-218
Author(s):  
Safia Benmansour ◽  
Atika Matallah ◽  
Mustapha Meghnafi
Keyword(s):  
Multiple Solutions ◽  
Elliptic Problems
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