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CAAM 542: Discontinuous Galerkin Methods
for Solving Engineering Problems
Beatrice Riviere
Spring 2021
Meeting time and place:T Th 11:20am-12:40pm, fully online (zoom)
Office Hours:by appointment (send email to: riviere at rice dot edu)
Course Objectives
This course covers the theory and implementation of discontinuous Galerkin methods for solving partial differential equations common in engineering applications. Steady-state and time-dependent elliptic and hyperbolic equations are discretized.
Course Outcomes
Upon completion of the course, students have a good understanding of the derivation and convergence of discontinuous Galerkin methods. They will be knowledgeable on the pros and cons of these methods.
They will have developed their own code for solving model problems.
Grading
Homeworks (100%).
Reading Resources
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation, by Beatrice Riviere, SIAM 2008, ISBN-10:089871656X.
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications, by Jan Hesthaven and Tim Warburton, Springer 2008.
Late policy
Homeworks are to be emailed by midnight on the due date, otherwise they are considered late and will not be accepted
if they are turned in a week after the due date.
Late homeworks will incur penalties in increments of 10 points for each late homework.
Disability
If you have a documented disability that may affect academic performance, you should make sure this documentation is on file with Disability Resource Center (Allen Center, Room 111 / adarice@rice.edu / x5841) to determine the accommodations you need, and meet with me to discuss your accommodation needs.
Title IX
Rice University cares about your wellbeing and safety. Rice encourages any student who has experienced an incident of harassment, pregnancy discrimination, gender discrimination, or relationship, sexual, or other forms of interpersonal violence to seek support through The SAFE Office. Students should be aware when seeking support on campus that most employees, including myself, as the instructor, are required by Title IX to disclose all incidents of non-consensual interpersonal behaviors to Title IX professionals on campus who can act to support that student and meet their needs. For more information, please visit safe.rice.edu or email titleixsupport@rice.edu.
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