Advanced Discretization Techniques and Applications (ADTA)

高级离散化技术和应用（ADTA）

• 批准号: 1438451
• 负责人: Yalchin Efendiev
• 金额: $ 3万
• 依托单位: Texas A&M University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1438451&HistoricalAwards=false
• 关键词: Advanced; Discretization; Techniques; Applications; ADTA

The Advanced Discretization Techniques and Applications (ADTA) workshop will be held at Texas A&M University, May 11-15, 2015. During the last few decades, finite element methods (FEM) have come to be among the most important tools for numerically approximating solutions of partial differential equations. FEM are a powerful research tool in subsurface engineering, structural engineering, failure analysis, earthquake engineering, progressive collapse, biophysics, electromagnetics, acoustics, solar and fuel cell, batteries, and material sciences, to mention but a few. Despite considerable work on their analysis, many aspects of the method continue to be improved. The novel techniques allow us to pursue comprehensive understanding and reliability of the numerical results, to improve the accuracy, reduce computational costs, and guarantee product credibility. The objective of this workshop is to bring researchers working on advanced discretization techniques and multiscale algorithms and promote interaction among these different groups. By bringing these researchers together, we expect to have an impact in many areas and promote progress in designing efficient multiscale discretization techniques for a wide range of problems. By holding this conference at Texas A&M University, a university traditionally strong in engineering and natural sciences, we expect to disseminate the know-how to researchers not only in mathematics, but also in other disciplines. We will actively pursue participation by non-mathematicians. This conference will therefore help researchers and practitioners improve their theoretical tools and deepen their knowledge of modern trends in numerical analysis.The workshop will cover a range of topics in finite element methods (FEM) and applications. Recent advances in finite element methodologies, in particular, the discontinuous Galerkin method (DG-FEM), weak Galerkin finite element methods (WG-FEM), and multiscale methods, will be some of the central workshop topics. The workshop will bring together researchers working on various finite element discretization techniques and multiscale methods and promote interaction among different groups.

先进的离散技术和应用（ADTA）研讨会将于2015年5月11日至15日在德克萨斯A＆M大学举行。在过去的几十年中，有限元方法（FEM）已成为数值近似偏微分方程的溶液的最重要工具之一。 FEM是地下工程，结构工程，故障分析，地震工程，进行性崩溃，生物物理学，电磁学，声学，太阳能和燃料电池，电池以及物质科学的强大研究工具。尽管在分析方面进行了大量工作，但该方法的许多方面仍在不断改进。这种新颖的技术使我们能够追求数值结果的全面理解和可靠性，以提高准确性，降低计算成本并确保产品信誉。该研讨会的目的是使研究人员致力于高级离散技术和多尺度算法，并促进这些不同群体之间的互动。通过将这些研究人员融合在一起，我们希望在许多领域产生影响，并在设计有效的多种问题上设计有效的多尺度离散技术方面取得进展。通过在得克萨斯农工大学（Dexas A＆M University）举行这次会议，这是一所大学在工程和自然科学方面强大的大学，我们希望不仅在数学上，而且在其他学科中都向研究人员传播专有技术。我们将积极追求非数学家的参与。因此，本次会议将帮助研究人员和从业人员改善其理论工具，并加深对现代趋势的知识。该研讨会将涵盖有限元方法（FEM）和应用程序中的一系列主题。有限元方法的最新进展，尤其是不连续的Galerkin方法（DG-FEM），弱的Galerkin有限元方法（WG-FEM）和多尺度方法，将是一些中心研讨会主题。该研讨会将汇集研究人员，研究各种有限元离散化技术和多尺度方法，并促进不同群体之间的互动。