Academic Journal
Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems
| العنوان: | Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems |
|---|---|
| المؤلفون: | Creusé, Emmanuel, Nicaise, Serge, Tang, Zuqi |
| المساهمون: | Laboratoire de Matériaux Céramiques et de Mathématiques CERAMATHS, Reliable numerical approximations of dissipative systems RAPSODI, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 L2EP |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2023 |
| المجموعة: | LillOA (Lille Open Archive - Université de Lille) |
| مصطلحات موضوعية: | goal-oriented estimates, quantity of interest, elliptic and parabolic problems |
| الوصف: | We present a unified framework for goal-oriented estimates for elliptic and parabolicproblems that combines the dual-weighted residual method with equilibrated flux and potentialreconstruction. These frameworks allow to analyze simultaneously different approximationschemes for the space discretization of the primal and the dual problems such as conformingor nonconforming finite element methods, discontinuous Galerkin methods, or the finitevolume method. Our main contribution is twofold: first in a unified framework we provethe splitting of the error into a fully computable estimator $\eta$ and a remainder, second thisremainder is estimated by the product of the fully computable energy-based error estimatorsof the primal and dual problems. Some illustrative numerical examples that validate ourtheoretical results are finally presented. ; 146 |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/octet-stream |
| اللغة: | English |
| Relation: | Computers & Mathematics with Applications; http://hdl.handle.net/20.500.12210/121993 |
| الاتاحة: | https://hdl.handle.net/20.500.12210/121993 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.2132CF1E |
| قاعدة البيانات: | BASE |
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