Advanced Discretization Techniques and Applications (ADTA)

高级离散化技术和应用(ADTA)研讨会将于2015年5月11日至15日在德克萨斯农工大学举行。在过去的几十年里，有限元方法已经成为数值逼近偏微分方程解的重要工具之一。有限元是地下工程、结构工程、失效分析、地震工程、渐进坍塌、生物物理学、电磁学、声学、太阳能和燃料电池、电池和材料科学的强大研究工具，仅举几例。尽管在他们的分析上做了大量的工作，但该方法的许多方面仍在继续改进。新技术使我们能够追求对数值结果的全面理解和可靠性，以提高精度，降低计算成本，并保证产品的可信度。这次研讨会的目的是让研究人员研究先进的离散化技术和多尺度算法，并促进这些不同群体之间的互动。通过将这些研究人员聚集在一起，我们预计将在许多领域产生影响，并推动在设计针对广泛问题的高效多尺度离散化技术方面取得进展。通过在德克萨斯A&M大学举办这次会议，我们希望不仅向数学领域的研究人员，也向其他学科的研究人员传播技术诀窍。我们将积极争取非数学家的参与。因此，这次会议将帮助研究人员和实践者改进他们的理论工具，并加深他们对数值分析现代趋势的了解。研讨会将涵盖有限元方法及其应用的一系列主题。有限元方法的最新进展，特别是不连续伽辽金方法(DG-FE)、弱伽辽金有限元方法(WG-FE)和多尺度方法，将是研讨会的一些中心议题。研讨会将汇聚研究各种有限元离散技术和多尺度方法的研究人员，并促进不同群体之间的互动。

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.