WORKSHOP: The future for wave element methods

这项建议涉及用于波传播的计算建模的算法。众所周知，为这些研究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不小的问题。对于短波长，这些方法很快就变得不适用了。在过去的十年里，工程学和数学研究界开展了许多活动，以开发能够将这些基于元素的方法扩展到更高频率的算法。其中一种方法就是使用各种波函数对元素进行“富集化”。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，英国的大学在这一领域一直很突出。这些大学包括斯旺西大学、雷丁大学、巴斯大学、南安普敦大学(ISVR)、赫里奥特-瓦特大学(Heriot-Watt)以及达勒姆大学。这项提议寻求适度的资金，用于在达勒姆举办一个研讨会，参与者将在研讨会上讨论海浪丰富元素中的公开问题。研讨会的目的是组成一个联盟，并决定未来一份申请资助所有感兴趣的研究小组的重要合作研究计划的提案的形式和内容。下列研究人员都已确认他们有兴趣参加研讨会并参与拟议的联盟投标，争取未来的合作研究资金：DurhamProf大学工程学院的Jon Trevelyan(PI)博士。南安普敦大学声音与振动研究所杰里米·阿斯特利教授。西蒙·钱德勒-王尔德，瑞丁大学数学系。埃里克·达里格兰德，法国雷恩大学数学研究所。南安普敦大学声音与振动研究所Gwenael Gabard教授说。伊万·格雷厄姆，巴斯大学数学科学系教授。乌贝·哈桑，斯旺西大学工程学院。米克·霍纳，布拉德福大学工程、设计与技术学院。托米·哈图宁，芬兰库奥皮奥大学应用物理系。比利时鲁汶大学计算机科学系，Daan Huybrechs博士奥马尔·拉格鲁切，赫里奥特-瓦特大学建筑环境学院。斯蒂芬·兰登，瑞德大学数学系教授。Ken Morgan，斯旺西大学工程学院博士。Emmanuel Perrey-Debain，法国康比涅理工学院教授。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