تقرير
Quasi-optimal error estimates for the approximation of stable harmonic maps
| العنوان: | Quasi-optimal error estimates for the approximation of stable harmonic maps |
|---|---|
| المؤلفون: | Bartels, Sören, Palus, Christian, Wang, Zhangxian |
| سنة النشر: | 2022 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 35J62 (35J50 35J57 65N30) |
| الوصف: | Based on a quantitative version of the inverse function theorem and an appropriate saddle-point formulation we derive a quasi-optimal error estimate for the finite element approximation of harmonic maps into spheres with a nodal discretization of the unit-length constraint. The estimate holds under natural regularity requirements and appropriate geometric stability conditions on solutions. Extensions to other target manifolds including boundaries of ellipsoids are discussed. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2209.11985 |
| رقم الأكسشن: | edsarx.2209.11985 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |