تقرير
An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem
| العنوان: | An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem |
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| المؤلفون: | Li, Ruo, Liu, Qicheng, Zhao, Shuhai |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | We present an arbitrary order discontinuous Galerkin finite element method for solving the fourth-order curl problem using a reconstructed discontinuous approximation method. It is based on an arbitrarily high-order approximation space with one unknown per element in each dimension. The discrete problem is based on the symmetric IPDG method. We prove a priori error estimates under the energy norm and the L^2 norm and show numerical results to verify the theoretical analysis. Comment: arXiv admin note: substantial text overlap with arXiv:2305.03430 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.05624 |
| رقم الأكسشن: | edsarx.2406.05624 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |