تقرير
Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions
| العنوان: | Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions |
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| المؤلفون: | Bullerjahn, Nils, Kovács, Balázs |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | A proof of optimal-order error estimates is given for the full discretization of the Cahn--Hilliard equation with Cahn--Hilliard-type dynamic boundary conditions in a smooth domain. The numerical method combines a linear bulk--surface finite element discretization in space and linearly implicit backward difference formulae of order 1 to 5 in time. Optimal-order error estimates are proven. The error estimates are based on a consistency and stability analysis in an abstract framework, based on energy estimates exploiting the anti-symmetric structure of the second-order system. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.20698 |
| رقم الأكسشن: | edsarx.2407.20698 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |