تقرير
The linear elasticity system under singular forces
| العنوان: | The linear elasticity system under singular forces |
|---|---|
| المؤلفون: | Allendes, Alejandro, Campaña, Gilberto, Otárola, Enrique, Salgado, Abner J. |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 35R06, 65N12, 65N15, 74S05 |
| الوصف: | We study the linear elasticity system subject to singular forces. We show existence and uniqueness of solutions in two frameworks: weighted Sobolev spaces, where the weight belongs to the Muckenhoupt class $A_2$; and standard Sobolev spaces where the integrability index is less than $d/(d-1)$; $d$ is the spatial dimension. We propose a standard finite element scheme and provide optimal error estimates in the $\mathbf{L}^2$--norm. By proving well posedness, we clarify some issues concerning the study of generalized mixed problems in Banach spaces. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2310.10866Test |
| رقم الانضمام: | edsarx.2310.10866 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |