The Discontinuous Petrov-Galerkin (DPG) Method with Optimal Test Functions

Prof. Dr. L. Demkowicz, Oden Institute, The University of Texas at Austin

Course content

The 14h short course will cover fundamentals of the DPG method. This will be a blackboard, math class occasionally complemented with a few slides showing sample numerical results. The course will be based on the last chapter of lecture notes on Mathematical Theory of Finite Elements [?] which I hope to have completed at the time. For a current, working copy of the notes, see https://users.oden.utexas.edu/∼leszek/classes/EM394H/book.pdf

Program: (lecture times will be confirmed soon).

All sessions take place in Room 02.06.011, Zentrum Mathematik, TUM, Garching Forschungszentrum

Monday, 4th May:
Lectures 1-2: An overview of theory of variational (weak) formulations and relevant facts from Functional Analysis Lectures 3-4: Three hats of the Ideal and Practical Petrov-Galerkin Methods with Optimal Test Functions

Tuesday, 5th May:
Lectures 5-8: Breaking the forms and test spaces

Wednesday, 6th May:
Lectures 9-10: Extensions to Maxwell problems Lectures 11-12: Construction of Fortin operators

Thursday, 7th May
Lectures 13-14: The double adaptivity method

All participants receive a confirmation certificate for 14 credit hours

Registration

Registration for this course is required. A registration form will be uploaded here soon!

-- DianeClaytonWinter - 13 Feb 2020
 

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