Workshop: Recent Advances and Challenges in Discontinuous Galerkin Methods and Related Approaches

题为“不连续伽辽金方法和相关方法的最新进展和挑战”的国际会议将于2017年6月29日至7月1日在明尼苏达大学数学及其应用研究所举行。该奖项支持青少年参赛者的旅行。这次活动汇集了来自至少14个国家/地区的各种研究人员。他们的范围从国际知名的专家到早期职业数学家和博士生。这次活动将总结不连续伽辽金理论和相关数值方法在理论和实施方面取得的最新进展，并确定这些领域的新挑战和新机遇。会议还将有一个重要的教育部分，每一次演讲都要求以研究生可以接触到的级别的引言部分为特色，并在整个会议期间举行充足的讨论。为了进一步促进交叉授粉和指导，将有主持的小组会议，与会者探索不同研究领域的前沿，在领域和新应用之间建立新联系的可能性，以及新合作的令人兴奋的机会。它将帮助初级研究人员拓宽他们的视野，并与这些领域的更多资深成员建立研究联系。从机械工程到肌肉模拟，不连续Galerkin和相关方法已被采用。近几十年来，这些方法在理论上取得了深刻的进展，并发现了广泛的应用。它们经常导致新方法的设计(例如，杂交不连续Galerkin法、虚拟单元法等)。在准确性、通用性、稳健性和计算效率方面具有优越的性能。它们也留下了许多令人兴奋的问题。这次会议提供了一个难得但及时的机会，总结这些方法的理论和实施方面的最新进展，确定新的挑战，并规划相关领域未来的研究方向。来自不同领域的人聚集在一起，如工程师、应用数学家、国家实验室研究人员，将导致思想的交叉融合，这在如此规模的会议上通常是不会发生的。

The international conference entitled "Recent Advances and Challenges in Discontinuous Galerkin Methods and Related Approaches" will be held at the Institute for Mathematics and its Applications at the University of Minnesota from June 29 to July 1, 2017. This award supports junior participants' travel. The event brings together a variety of researchers from at least 14 countries/regions. They range from internationally renowned experts to early career mathematicians and PhD students. The event will summarize recent advances made both in the theory and implementation of the Discontinuous Galerkin and related numerical approaches, and to identify new challenges and opportunities in these areas. The conference will also have a significant educational component, with each talk required to feature introductory parts at a level accessible to graduate students, and ample discussion sessions throughout the conference. To further promote cross-pollination and mentoring, there will be moderated panel sessions where participants explore the frontiers of different research areas, possibilities of new connections between areas and new applications, and exciting opportunities of new collaborations. It will help junior researchers broaden their perspective and create research ties with more senior members in these fields.Discontinuous Galerkin and related approaches have been adopted in areas ranging from mechanical engineering to the simulation of muscles. In recent decades, deep theoretical advances have been made and wide-ranging applications discovered for these approaches. They often lead to design of novel methods (e.g. Hybridizable discontinuous Galerkin methods, Virtual Element Methods, etc.) with superior properties in terms of accuracy, versatility, robustness and computational efficiency. They also leave open many exciting problems. This conference presents a rare but timely opportunity to summarize recent advances both in the theory and implementation of these methods, identify new challenges, and map out future research directions in related areas. The bringing together of people from different fields such as engineers, applied mathematicians, national lab researchers, will lead to cross-fertilization of ideas that normally does not happen in a conference of this size.