Objectives


Implementation of the DPG Method in a FE Code Supporting H1, H (curl), H (div), and
L2-Conforming Finite Elements


Leszek Demkowicz and Stefan Henneking
Oden Institute for Computational Science and Engineering, UT at Austin

Day One, 14 June 2022, 9.00-15.00 (plus discussion)

  1. Examples of variational formulations with symmetric and non-symmetric functional setting. Energy spaces.
  2. A crash course on H1, H (curl), H (div) and L2-conforming finite elements.
  3. Introduction to the parhp3D code. Examples of applications of the Bubnov-Galerkin method.


    4. Day Two, 15 June 2022, 9.00-15.00 (plus discussion)

  4. A crash course on the DPG method.
  5. DPG element computations - examples of applications.
  6. Implementation in parhp3D code.

The class will be based on [2, 1, 3]. The lectures will be complemented with an informal discussion
session in the afternoon.

References

  1. L. Demkowicz. Lecture notes on Energy Spaces. Technical Report 13, ICES, 2018.
  2. L. Demkowicz. Lecture notes on mathematical theory of Finite Elements. Technical Report 11, Oden Institute, June 2020. https://www.oden.utexas.edu/media/reports/2020/2011.pdf
  3. S. Henneking and L. Demkowicz. Computing with hp Finite Elements III. Parallel hp Code. 2022. in preparation, 120 pages and growing.


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