WORKSHOP: The future for wave element methods

研讨会：波元方法的未来

• 批准号: EP/H016252/1
• 负责人: Jon Trevelyan
• 金额: $ 1.04万
• 依托单位: Durham University
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2009
• 资助国家: 英国
• 起止时间: 2009 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FH016252%2F1
• 关键词: WORKSHOP; future; wave; element; methods

This proposal addresses algorithms for computational modelling of wave propagation. The finite element and boundary element methods that have become established for these studies are well known to be limited to problems in which the wavelength under consideration is not small in comparison with the problem domain size. For short wavelengths, these methods quickly become inapplicable. There has been much activity in the Engineering and Mathematics research communities over the last decade to develop algorithms that can extend these element-based methods to higher frequencies. One such method involves 'enriching' the elements using various wave functions. The developments have been international and multidisciplinary, with major contributions from France, the United States, Finland, Spain and others, but it is true to say that UK universities have been prominent in the field. These universities include Swansea, Reading, Bath, Southampton (ISVR) and Heriot-Watt as well as Durham.This proposal seeks modest funding for a workshop to be held at Durham, and in which participants discuss the open questions in wave-enriched elements. The aims of the workshop are to form a consortium and to decide upon the form and content of a future proposal requesting funding for a significant collaborative research programme across all the interested research groups.The following researchers have all confirmed their interest in attending the workshop and participating in the proposed consortium bid for future collaborative research funding:Dr. Jon Trevelyan (PI), School of Engineering, University of DurhamProf. Jeremy Astley, Institute of Sound and Vibration Research, University of SouthamptonProf. Simon Chandler-Wilde, Department of Mathematics, University of ReadingDr. Eric Darrigrand, Institut de Recherche Mathmatique, Universit de Rennes, FranceDr. Gwenael Gabard, Institute of Sound and Vibration Research, University of SouthamptonProf. Ivan Graham, Department of Mathematical Sciences, University of BathProf. Oubay Hassan, School of Engineering, University of SwanseaDr. Mick Honnor, School of Engineering, Design and Technology, University of BradfordDr. Tomi Huttunen, Department of Applied Physics, University of Kuopio, FinlandDr. Daan Huybrechs, Department of Computer Science, Katholieke Universiteit Leuven, BelgiumDr. Omar Laghrouche, School of the Built Environment, Heriot-Watt UniversityDr. Stephen Langdon, Department of Mathematics, University of ReadingProf. Ken Morgan, School of Engineering, University of SwanseaDr. Emmanuel Perrey-Debain, Universit de Technologie, Compigne, FranceProf. Valery Smyshlyaev, Department of Mathematical Sciences, University of Bath

该建议涉及波传播的计算建模算法。众所周知，有限元和边界元方法，已成为建立这些研究是有限的问题，其中所考虑的波长是不小的问题域的大小相比。对于短波长，这些方法很快变得不适用。在过去的十年中，工程和数学研究界一直在开发算法，以将这些基于元素的方法扩展到更高的频率。一种这样的方法涉及使用各种波函数“富集”元素。这些发展是国际性和多学科的，法国、美国、芬兰、西班牙和其他国家做出了重大贡献，但可以说英国大学在该领域一直很突出。这些大学包括斯旺西大学、阅读大学、巴斯大学、南安普顿大学（ISVR）和赫瑞瓦特大学以及达勒姆大学。本提案旨在为将在达勒姆举行的研讨会寻求适度的资金，与会者将在研讨会上讨论波富集元素中的未决问题。研讨会的目的是成立一个联合体，并决定未来提案的形式和内容，为所有感兴趣的研究小组的重要合作研究计划申请资金。以下研究人员都确认了他们有兴趣参加研讨会并参与未来合作研究资金的拟议联合体竞标：Jon Trevelyan博士（PI），杜汉大学工程学院教授。杰里米·阿斯特利，南安普敦大学声音与振动研究所教授。Simon Chandler-Wilde，雷丁大学数学系博士。法国雷恩大学数学研究所Gwenael Gabard，声音和振动研究所，南安普敦大学教授。伊万·格雷厄姆，数学科学系，哥伦比亚大学教授。Oubay哈桑，工程学院，斯旺西博士。英国布拉德福德大学工程、设计与技术学院。芬兰库奥皮奥大学应用物理系。Daan Huybrechs，计算机科学系，Katholieke Universiteit Leuven，DauchumDr。奥马尔·拉格鲁什，赫瑞瓦特大学建筑环境学院。斯蒂芬·兰登，雷丁大学数学系教授。肯摩根，工程学院，斯旺西大学博士。Emmanuel Perrey-Debain，法国贡比涅理工大学教授Valery Smyshlyaev，巴斯大学数学科学系