Work

Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints

Year: 2023

Type: article

Abstract: An error estimate for a canonical discretization of the harmonic map heat flow into spheres is derived. The numerical scheme uses standard finite elements with a nodal treatment of linearized unit-length constraints. The analysis is based on elementary approximation results and only uses the discrete weak formulation.

Source: IMA Journal of Numerical Analysis

DOI: 10.1093/imanum/drad037

Authors: Sören Bartels, Balázs Kovács, Zhangxian Wang

Institutions: University of Freiburg, University of Regensburg, Technical University of Munich

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

Awards: G1575401848, G371845181, Numerische Analysis von geometrischen Flüssen und partiellen Differentialgleichungen auf bewegten Oberflächen