力學基本解和相關分析法

Fundamental solutions, also called Green’s functions, are everywhere, and we see them in our daily life a lot. While many Green’s functions can be directly applied to practice, others can be formulated in terms of the boundary-integral equations and other computational methods. The discretized form of the boundary-integral equation is known as the boundary element method (BEM). In this course, we will introduce the basic concepts of the fundamental solutions and various approaches for deriving these solutions. The closely related BEM will be presented in details with applications, whilst some associated (current) computational methods will be also introduced for possible future references.

Prerequisite: Graduate standing or consent of instructor

Lectures via PPT, white board writing, and invited presentations. Some key references will be provided.

• Assignments (40%): Homework and Reading Assignments • Term-Project (30%): Middle-Term Presentation and Project • Term-Paper (30%): Final Paper

Textbook: No textbook is required; instead, lecture notes and other reference materials will be provided. Main References: • Pan, E. (2019): Green’s functions for geophysics: a review. Rep. Prog. Phys., 82: 106801. • Pan, E. and Chen, W. Q. (2015): Static Green’s Functions in Anisotropic Media. Cambridge University Press, New York, USA. • Brebbia, C. A. and Dominguez, J. (1992): Boundary Element Methods. An Introductory Course. • Wang, H. and Qin, Q. H. (2019): Methods of Fundamental Solutions in Solid Mechanics. Elsevier, Cambridge, MA, USA.

地點

TBA

時間

Friday 1:20-4:20pm

聯絡方式

Office: Engineering Building #2, Room 306 Tel.: 03-5712121 x 54931 Email: ernianpan@nycu.edu.tw