工程論壇主題

Mini - symposium Title

MS020  BEM/Meshless method and scientific computation workshop

Description

Description
The Boundary Element Method (BEM), with a history spanning 48 years, emerged from integral equations derived from Green's theorem in the 1970s. The term "Boundary Element Method" was first introduced by Brebbia and Dominguez in 1977 in Applied Mathematical Modelling (Volume 1, page 372). BEM is a numerical technique based on discretizing the problem's boundary. It has been a focal point of research and discussion in numerous international conferences, including BETEQ, BETECH, BEM/MRM, IABEM, ICOME, and the Chinese Conference on Engineering Computational Methods. BEM is widely applied in various engineering problems such as groundwater seepage, steady-state heat conduction, crack growth analysis, and geostress analysis. Many software packages incorporating BEM, such as SYSTEM NOISE, BEASY CRACK, and BEST3D, underscore its significant economic value.
In Taiwan, short-term seminars on BEM have been held over the past thirty years. Notably, in 1986, Professors Rizzo and Shippy from the University of Kentucky, alongside Professor Mukherjee from Cornell University, were invited by Academician Yih-Hsing Pao of National Taiwan University to conduct a one-week seminar at the Institute of Applied Mechanics. This seminar focused on BEM and included participants from civil, structural, and engineering disciplines. In 1998, the National Center for High-Performance Computing, with support from the National Science Council, hosted a BEM conference that brought together domestic experts and scholars, although it lacked representation from the mathematics community. Since then, no further seminars or workshops on BEM or integral equations have been organized in Taiwan for over a decade.
In order to enrich the BEM researches again, Professor Chen Jeng-Tzong from the National Taiwan Ocean University organized the first TWBEM conference in October 2010 on BEM, integral equations, and related numerical methods. This event saw the participation of over thirty BEM experts and scholars, revitalizing interest in the field. Since 2010, we have hosted 14 TWBEM conferences, and this year marks the 15th conference. We aim to present current research topics through expert presentations, providing attendees with insights into the latest developments and trends. This platform also enhances inter-institutional collaboration opportunities and fosters dialogue between engineering and mathematics scholars. Additionally, we encourage and invite graduate students (both doctoral and master's) and undergraduates to participate, helping them to embark on their academic research careers at an early stage.
In addition, the integration of scientific computing methods with advances in artificial intelligence (AI) has further transformed the landscape of numerical analysis. AI-driven approaches are increasingly being utilized to enhance computational efficiency and accuracy in scientific simulations. Techniques such as machine learning and deep learning are now being explored to optimize related algorithms, manage large datasets, and solve complex engineering problems more effectively. This intersection of AI and scientific computing promises to significantly advance the capabilities and applications of BEM in modern research and industry.

Lead Organizer