Work

Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines

Year: 2025

Type: article

Abstract: We study overlapping additive Schwarz (OAS) preconditioners for the solution of elliptic boundary value problems discretized using isogeometric collocation methods based on generalized B-splines (GB-splines). Through a series of numerical experiments, we demonstrate the scalability of the proposed preconditioning strategy with respect to the number of subdomains, as well as its robustness with respect to the parameters of the isogeometric discretization.

Source: Axioms

DOI: 10.3390/axioms14060397

Author: Durkbin Cho

Institution: Dongguk University

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: National Research Foundation, National Research Foundation of Korea, Ministry of Science and ICT, South Korea