Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity-Reference-Cited by-同舟云学术

Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

Published:2021-06-09 Issue:1 Volume:22 Page:1-13
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:en
Short-container-title:

Author:

Borsos Benjámin¹,Karátson János²

Affiliation:

1. Department of Analysis , Technical University , Budapest , Hungary

2. Department of Applied Analysis & MTA-ELTE Numerical Analysis and Large Networks Research Group , ELTE University ; and Department of Analysis, Technical University , Budapest , Hungary

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/cmam-2020-0133/pdf

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