Academic Journal
An a posteriori-driven adaptive mixed high-order method with application to electrostatics
| العنوان: | An a posteriori-driven adaptive mixed high-order method with application to electrostatics |
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| المؤلفون: | Di Pietro, Daniele Antonio, Specogna, Ruben |
| المساهمون: | Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Dipartimento Politecnico di Ingegneria e Architettura, Università degli Studi di Udine - University of Udine Italie, ANR-15-CE40-0005,HHOMM,Méthodes hybrides d'ordre élevé sur maillages polyédriques(2015) |
| المصدر: | ISSN: 0021-9991. |
| بيانات النشر: | HAL CCSD Elsevier |
| سنة النشر: | 2016 |
| المجموعة: | Université de Montpellier: HAL |
| مصطلحات موضوعية: | Electrostatics, computational electromagnetism, Mixed High-Order methods, Hybrid High-Order methods, Discrete Geometric Approach, discontinuous skeletal methods, variable diffusion, a posteriori error analysis, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism |
| الوصف: | International audience ; In this work we propose an adaptive version of the recently introduced Mixed High-Order method and showcase its performance on a comprehensive set of academic and industrial problems in computational electromagnetism. The latter include, in particular, the numerical modeling of comb-drive and MEMS devices. Mesh adaptation is driven by newly derived, residual-based error estimators. The resulting method has several advantageous features: It supports fairly general meshes, it enables arbitrary approximation orders, and has a moderate computational cost thanks to hybridization and static condensation. The a posteriori-driven mesh refinement is shown to significantly enhance the performance on problems featuring singular solutions, allowing to fully exploit the high-order of approximation. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-01310313; https://hal.science/hal-01310313; https://hal.science/hal-01310313v2/document; https://hal.science/hal-01310313v2/file/apho.pdf |
| DOI: | 10.1016/j.jcp.2016.08.041 |
| الاتاحة: | https://hal.science/hal-01310313 https://hal.science/hal-01310313v2/document https://hal.science/hal-01310313v2/file/apho.pdf https://doi.org/10.1016/j.jcp.2016.08.041 |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.BEFAB6F5 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.jcp.2016.08.041 |
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