Work

The Zlamal Approximation on a Sphere

Year: 2026

Type: article

Abstract: Finite element approximation is often used to solve various problems in mathematical physics, such as boundary value problems. Previously, the authors considered the Courant approximation on a sphere. The Zlamal approximation on the plane gives smaller errors of approximation than the Courant approximation. This paper discusses a generalization of the Zlamal approximation on the plane and the Zlamal approximation on a sphere. The theoretical results are given for the Zlamal approximation on the plane and the Zlamal approximation on a sphere. The errors of approximation obtained with the Zlamal approximation and with the Courant approximation are compared. The results of the numerical experiments are given.

Source: WSEAS TRANSACTIONS ON MATHEMATICS

DOI: 10.37394/23206.2026.25.54

Authors: I. G. Burova, N. A. Lebedinskaya, D. M. Lebedinski, V. G. Korneev

Institution: St Petersburg University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: Saint Petersburg State University

OpenAlex ID: W7225381118