Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems

Institution:	1. Institute for Infrastructure and Environment, Heriot–Watt University, Edinburgh EH14 4AS, United Kingdom;2. Creative Engineering and Management Services, Deans Centre Peshawar, Pakistan;3. Department of Mechanical and Industrial Engineering, College of Engineering, Sultan Qaboos University, Oman;4. Maxwell Institute for Mathematical Sciences and Department of Mathematics, Heriot–Watt University, Edinburgh, EH14 4AS, United Kingdom;1. Department of Computational Mathematics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine;2. Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine;3. Université Clermont Auvergne, CNRS, SIGMA Clermont (ex- French Institute of Advanced Mechanics), Institut Pascal, Campus de Clermont-Ferrand, 63178 Aubière, France;1. College of Mechanical Engineering, Guangxi University, Nanning, PR China;2. School of Mechanical Engineering, Southeast University, Nanjing, PR China;1. Laboratoire d’Analyse et Modélisation des Systèmes et Aide à la Décision, Univ Hassan 1. Ecole supérieure de Technologie, B.P. 218, Berrechid, Maroc;2. Laboratoire de Mathématiques et de leurs Applications, UMR CNRS 4152, Université de Pau et des Pays de l’Adour, 64000 Pau, France;1. Departamento de Ingeniería de Proyectos, Universidad de Guadalajara, José Guadalupe Zuno No. 48, Zapopan, C.P. 45150, Jalisco, México;2. Departamento de Ingeniería en Redes y Telecomunicaciones, Universidad Politécnica de Juventino Rosas, Hidalgo No. 102, Santa Cruz de Juventino Rosas, Gto., Comunidad de Valencia, C.P. 38253, México;3. School of Biosciences, University of Nottingham, Sutton Bonington Campus, Loughborough, Leicestershire, LE12 5RD, UK;4. GSC & CEIGRAM, ETSIAAB, Universidad Politécnica de Madrid (UPM). Ciudad Universitaria, C.P. 28040, Madrid, España

Abstract:	This article investigates the effect of the selection of enrichment functions on the formulation of the Generalized Finite Element Method (GFEM) for the solutions of transient heat conduction problems. We present the study of an a-posteriori error estimate with the aim to show it as a reliable tool for the selection of enrichment functions to efficiently capture the sharp thermal gradients of the solutions. Problems in two- and three-dimensional domains are considered to demonstrate the robustness of the proposed error estimate. Numerical experiments consider two different types of enrichment functions that mimic the solution behaviour and capture the time-varying thermal gradients. The presented study shows that the error estimate is independent of the heuristically selected enrichment functions and can be used for any type of enrichment functions. It is concluded that the proposed error estimate efficiently reflects the errors in the GFEM solutions for both types of enrichment functions and can be used as an effective tool for the selection of more suitable enrichment functions that produce lower errors under the considered thermal conditions.

Keywords:
本文献已被 ScienceDirect 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏