تقرير
Minimum-residual a posteriori error estimates for a hybridizable discontinuous Galerkin discretization of the Helmholtz equation
| العنوان: | Minimum-residual a posteriori error estimates for a hybridizable discontinuous Galerkin discretization of the Helmholtz equation |
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| المؤلفون: | Camargo, Liliana, Rojas, Sergio, Vega, Patrick |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 65N12, 65N15, 65N22, 65N30, 65N50 |
| الوصف: | We propose a reliable and efficient a posteriori error estimator for a hybridizable discontinuous Galerkin (HDG) discretization of the Helmholtz equation, with a first-order absorbing boundary condition, based on residual minimization. Such a residual minimization is performed on a local and superconvergent postprocessing scheme of the approximation of the scalar solution provided by the HDG scheme. As a result, in addition to the super convergent approximation for the scalar solution, a residual representative in the Riesz sense, which is further employed to derive the a posteriori estimators. We illustrate our theoretical findings and the behavior of the a posteriori error estimator through two ad-hoc numerical experiments. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2304.00418Test |
| رقم الانضمام: | edsarx.2304.00418 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |