Conference: Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

会议：偏微分方程不连续伽辽金有限元方法的最新进展

• 批准号: 1203237
• 负责人: Xiaobing Feng
• 金额: $ 2.1万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-02-01 至 2013-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1203237&HistoricalAwards=false
• 关键词: Conference; Recent; Developments; Discontinuous; Galerkin

The principal investigator (PI) and Co-PIs organize the 2012 John H. Barrett Memorial Lectures in the University of Tennessee at Knoxville from May 9-11, 2012 (www.math.utk.edu/~xfeng/barrett/). The Barrett Lectures have been held annually since 1972. Each year a different topic is chosen, representing the research interests of the mathematics faculty of the University of Tennessee. Since 1993, the lectures have consisted of three one-hour survey talks by each of two or three leading researchers representing different themes and directions in a single field. The topic of the 2012 Barrett Lectures is: ``Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations". The main speakers of the 2012 Barrett Lectures are Franco Brezzi of University of Pavia(Italy) and Chi-Wang Shu of Brown University. Each of them will deliver three one-hour survey lectures on recent developments in discontinuous Galerkin finite element methods with respective emphases on interior penalty and local discontinuous Galerkin methods. In addition to the main speakers, ten speakers are also invited to give one-hour talks on topics related to one of the main lectures and on applications of discontinuous Galerkin finite element methods to hyperbolic conservation laws and Hamilton-Jacobi equations, convection-diffusion equations, shallow water equations, porous media flows, elasticity, high frequency wave equations, and materials phase transitions. Moreover, a poster session is also scheduled in the Lectures, giving the opportunity to those who attend the meeting to present their work in these areas.The Barrett Lectures are partly funded by a grant from the University of Tennessee and have often received additional support from the National Science Foundation. They attract wide interest, with an audience of between 40 and 60 participants from the whole country, in addition to faculty and students from Knoxville and the Oak Ridge National Laboratory. They represent one of the few long standing lecture series in mathematics in the southeastern United States. The main objective of the 2012 Barrett Lectures is to provide the participants with an exposition of modern discontinuous Galerkin finite element methods for partial differential equations arising from various scientific/engineering/industrial applications, through in-depth survey lectures and informal discussions with the leading researchers in the field. Additional goals are to foster interdisciplinary collaboration, particularly with researchers in the domain sciences departments and in the College of Engineering at the University of Tennessee and several other southeastern institutions, and to generate a set of written surveys in the subject, which the organizing committee will endeavor to have published in book form. The fund being requested from the NSF will be spent providing partial support towards travel and accommodation for thirty graduate students, postdocs, and junior researchers who do not have research grants.

主要研究者（PI）和联合PI组织了2012年John H.巴雷特纪念讲座在田纳西大学诺克斯维尔，2012年5月9日至11日（www.math.utk.edu/barxfeng/barrett/）。巴雷特讲座自1972年以来每年举行一次。每年都会选择一个不同的主题，代表田纳西大学数学系的研究兴趣。自1993年以来，讲座包括三个一小时的调查会谈，由两个或三个领先的研究人员代表不同的主题和方向在一个单一的领域。2012年巴雷特讲座的主题是：“偏微分方程不连续伽辽金有限元方法的最新进展”。2012年巴雷特讲座的主要演讲者是帕维亚大学（意大利）的Franco Brezzi和布朗大学的Chi-Wang Shu。他们每个人都将提供三个一小时的调查讲座在不连续伽辽金有限元方法的最新发展，分别侧重于内部处罚和局部不连续伽辽金方法。除了主要发言人，十位发言人也被邀请给一个小时的会谈有关的主题之一的主要讲座和应用程序的不连续伽辽金有限元法双曲守恒定律和哈密尔顿-雅可比方程，对流扩散方程，浅水方程，多孔介质流动，弹性，高频波动方程，和材料相变。此外，讲座中还安排了海报展示环节，让与会者有机会展示他们在这些领域的工作。巴雷特讲座的部分资金来自田纳西大学的赠款，并经常得到美国国家科学基金会的额外支持。除了来自诺克斯维尔和橡树岭国家实验室的教师和学生外，他们还吸引了来自全国40至60名参与者的广泛兴趣。他们代表了在美国东南部的数学为数不多的长期存在的讲座系列之一。2012年巴雷特讲座的主要目标是通过深入的调查讲座和与该领域领先研究人员的非正式讨论，为参与者提供现代不连续Galerkin有限元方法对各种科学/工程/工业应用中产生的偏微分方程的阐述。其他目标是促进跨学科合作，特别是与领域科学部门和田纳西大学工程学院以及其他几个东南部机构的研究人员合作，并在该主题中生成一套书面调查，组委会将奋进以书籍形式出版。从NSF申请的资金将用于为30名研究生、博士后和没有研究赠款的初级研究人员提供部分旅行和住宿支持。