WORKSHOP: The future for wave element methods

本提案讨论了波传播计算模型的算法。众所周知，为这些研究而建立的有限元和边界元方法仅限于所考虑的波长与问题域大小相比并不小的问题。对于短波长，这些方法很快就不适用了。在过去的十年中，在工程和数学研究社区中有很多活动来开发可以将这些基于元素的方法扩展到更高频率的算法。其中一种方法是使用各种波函数来“丰富”元素。这些发展是国际性和多学科的，主要贡献来自法国、美国、芬兰、西班牙和其他国家，但英国大学在这一领域确实表现突出。这些大学包括斯旺西大学、雷丁大学、巴斯大学、南安普顿大学、赫瑞瓦特大学以及达勒姆大学。该提案为在达勒姆举行的研讨会寻求适度的资金，参与者在研讨会上讨论波浪富集元素的开放性问题。研讨会的目的是形成一个联盟，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项目申请资金。以下研究人员都确认有兴趣参加研讨会，并参与提议的财团竞标未来的合作研究资金：Jon Trevelyan (PI)，杜伦大学工程学院教授Jeremy Astley，南安普顿大学声音与振动研究所教授。西蒙·钱德勒-王尔德，雷丁大学数学系博士。Eric Darrigrand，法国雷恩大学数学研究所Gwenael Gabard，南安普顿大学声音与振动研究所教授。英国巴斯大学数学科学系教授Ivan GrahamOubay Hassan，斯旺西大学工程学院Mick Honnor，英国布拉德福德大学工程、设计与技术学院博士。Tomi Huttunen，芬兰库奥皮奥大学应用物理系博士Daan Huybrechs，比利时鲁汶天主教大学计算机科学系博士。奥马尔·拉格鲁什，赫瑞瓦特大学建筑环境学院博士。斯蒂芬·兰登，雷丁大学数学系教授。肯·摩根，斯旺西大学工程学院。Emmanuel Perrey-Debain，法国贡比涅科技大学教授Valery Smyshlyaev，巴斯大学数学科学系

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