Work

Stopping criteria for nonlinear variational problems: iterative approach

Year: 2024

Type: article

Abstract: In this paper, we present and study a stopping criteria based on a priori error estimate for nonlinear variational problems. We show that for nonlinear variational problems, the a priori error estimate is divided into two sub errors namely: the discretization error and the linearization error. We then used that representation to devise a stopping criteria that help to reduce the computational time. The methodology is applied to three problems and the numerical results demonstrate the superiority of the new approach.

Source: Numerical Algorithms

DOI: 10.1007/s11075-024-01969-8

Authors: Jules Djoko Kamdem, Toni Sayah

Institutions: North-West University, Saint Joseph University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: North-West University