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

被引：2

作者：

Bartels, Soeren ^{[1
]}

Kovacs, Balazs ^{[2
,3
]}

Wang, Zhangxian ^{[1
]}

机构：

[1] Albert Ludwigs Univ Freiburg, Abt Angew Math, Hermann Herder Str 10, F-79104 Freiburg, France

[2] Tech Univ Munich, Fac Math, Boltzmannstr 3, D-85748 Garching, Germany

[3] Univ Regensburg, Fac Math, Univ Str 31, D-93040 Regensburg, Germany

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2024年 / 44卷 / 02期

关键词：

harmonic maps; heat flow; finite elements; constraints; error analysis; FINITE-ELEMENT DISCRETIZATION; CONVERGENCE; SCHEME; STABILITY; SPHERES; EULER;

D O I：

10.1093/imanum/drad037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：633 / 653

页数：21

共 30 条

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