Speaker
Leszek Demkowicz
Description
2025 marks the 17th anniversary of our first foundational paper on the Discontinuous Petrov- Galerkin method, in short the DPG method. In the talk, I will attempt to present DPG fundamentals for linear problems [1] illustrated with a few numerical examples, and an outlook at the generalization of the DPG methodology to nonlinear problems represented by nonlinear elasticity [2].
[1] L. Demkowicz and J. Gopalakrishnan, The Discontinuous Petrov-Galerkin Method, Acta Numerica, 2025.
[2] J. Zhang and L. Demkowicz, Nonlinear Elasticity with the Discontinuous Petrov-Galerkin Method. I. Various Variational Formulations, Oden Institute Report 2024/5.
