MTH 610: Nonstandard Finite Element Methods

Fall 2015






Instructor
Jay Gopalakrishnan
Venue
NH 373
Times
Tue, Thu: 16:00-17:15
Office Hours
Tue 13:15 - 14:15 (in NH 309) or by appointment.



Learning Outcomes

The goal is to provide the students with a glimpse of the theory and implementation of emerging finite element methods, methods that are not yet textbook material.

Prerequisites

Consent of the instructor. Prospective students are encouraged to contact the instructor well before the term begins, so that the course can be tailored to student backgrounds. All students are required to have a laptop that they can bring to class.

Learning methods

In order to cover theory and implementation, this course will have lectures as well as lab sessions. During the lab sessions, students will bring their laptops and work with advanced (free) finite element software under the guidance of the instructor.

Topical outline

  • The standard finite element method (FEM)
  • Two reasons to look beyond FEM
  • The DG method for advective and transient problems
  • The HDG method and its convergence analysis
  • The DPG method and its convergence analysis
  • Implementation issues and parallelization

Online Materials

Login to d2l.pdx.edu to access all materials for this course.
Here are some notes to begin your practical lab sessions:


Evaluation

Grades will be assigned based on class projects.






Jay Gopalakrishnan