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.
    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.
    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 / / x5841) to determine the accommodations you need, and meet with me to discuss your accommodation needs.
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