AMS 529/691: Finite Element Methods:
Fundamentals, Applications, and New Trends

Instructor: Prof. Xiangmin
(Jim) Jiao 
[ Course Description  Course Outline  Grading Policy  Homework  References  University Policy ] 
Course Description (back to top) 
This is an intermediatelevel graduate course on the finite element methods (FEM) for solving partial differential equations. It will introduce the mathematical formulation, numerical analysis, and computational aspects of FEM, applications in solid mechanics fluid mechanics, and multiphysics phenomena, as well as the recent trends in improving their stability, accuracy, efficiency, and generality. Computing projects will involve programming in Python and MATLAB/Octave, as well as using software FEniCS and ANSYS for understanding the typical workflow of finite element analysis for solving realworld problems. Learning Objectives:
Prerequisites
Computing Resources

Course Outline (back to top) 
Outline

Grading Policy (back to top) 
The course involves five (written/computing) homework assignments, an individual project, and a team project (2—3 members per team). You can use a fulllength presentation to substitute the individual project.

Homework (back to top) 
Assignments You are allowed to discuss the course materials and homework problems in small groups, but the discussions should be limited to the general ideas only. You must write your solutions completely independently. Under no circumstances may you copy solutions from any source, including but not limited to other students solutions, official solutions distributed in past terms, and solutions from courses taught at other universities. Violation of these rules may result in disciplinary actions.

References and Useful Links (back to top) 
Overviews on Finite Element Methods
Finite Element Methods (Mathematics Oriented)
Finite Element Analysis (Mechanics Oriented)
Finite Element Implementations (Software Oriented)

Policies and Academic Integrity (back to top) 
Academic Integrity Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at http://www.stonybrook.edu/uaa/academicjudiciary/Critical Incident Management Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. 