摘要：Variational methods for boundary integral equations deal with weak formulations of the equations. Boundary element methods are numerical schemes for seeking approximate weak solutions of the corresponding boundary variational equations in finite-dimensional subspaces of the Sobolev spaces with special basis functions, the so-called boundary elements. This lecture gives an overview of the method from both theoretical and numerical point of view. It summaries the main results obtained by the author and his collaborators over the last 30 years. Fundamental theory and various applications will be illustrated through simple examples. Some numerical experiments in elasticity as well as in fluid mechanics will be included to demonstrate the efficiency of the methods. 

简介：肖家驹(George C. Hsiao) 教授是美国Delaware大学的应用数学家，拥有该大学的Carl Rees教授职位。他早年毕业于国立台湾大学，于1969年在Carnegie-Mellon大学取得数学博士学位。在四十多年的学术生涯中，肖教授发表过4本书、150多篇文章。其研究兴趣十分广泛，包括积分方程、偏微分方程、边界元方法、奇异摄动理论、弹性和流体力学、小波分析、电磁散射中的反问题等。另外，肖教授先后是6份国际学术杂志的编辑或编委。 

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清华大学周培源应用数学研究中心

唐 琳

TEL:62797063