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.

首席研究员 (PI) 和副研究员于 2012 年 5 月 9 日至 11 日在诺克斯维尔田纳西大学组织了 2012 年 John H. Barrett 纪念讲座 (www.math.utk.edu/~xfeng/barrett/)。巴雷特讲座自 1972 年以来每年举办一次。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，讲座由三场一小时的调查演讲组成，每场由两到三名顶尖研究人员代表同一领域的不同主题和方向。 2012年巴雷特讲座的主题是：“偏微分方程的间断伽辽金有限元法的最新进展”。2012年巴雷特讲座的主讲人是意大利帕维亚大学的Franco Brezzi和布朗大学的Chi-Wang Shu他们每人将分别就不连续伽辽金有限元方法的最新发展进行三场一小时的调查讲座。强调内罚和局部不连续伽辽金方法 除了主讲人外，还邀请了十位演讲者就与主讲之一相关的主题以及不连续伽辽金有限元方法在双曲守恒定律中的应用进行一小时的演讲。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会议，为参加会议的人提供展示他们在这些领域的工作的机会。巴雷特讲座的部分资金来自田纳西大学的资助，并且经常得到国家科学基金会的额外支持。它们吸引了广泛的兴趣，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，还有来自全国各地的 40 至 60 名参与者。它们是美国东南部为数不多的长期数学讲座系列之一。 2012 年 Barrett 讲座的主要目标是通过深入的调查讲座以及与领先研究人员的非正式讨论，向参与者展示现代不连续伽辽金有限元方法，用于解决各种科学/工程/工业应用中产生的偏微分方程在外地。其他目标是促进跨学科合作，特别是与田纳西大学领域科学系和工程学院以及其他几个东南部机构的研究人员的合作，并生成一系列该主题的书面调查，组委会将力争以书籍形式出版。向 NSF 申请的资金将用于为 30 名没有研究补助金的研究生、博士后和初级研究人员提供部分旅行和住宿支持。