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Robust DPG method for convection-dominated diffusion problems

Thursday, February 16,
ACE 6.304

Norbert Heuer

We propose and analyze a DPG method for convection-dominated diffusion problems which provides robust L2 error estimates for the field variables, and which are quasi-optimal in the energy norm. Key feature of the method is to construct test functions defined by a variational formulation with bilinear form (test norm) specifically designed for the goal of robustness. Main theoretical ingredient is a stability analysis of the adjoint problem.

Numerical experiments underline our theoretical results and, in particular, confirm robustness of the DPG method for well-chosen test norms.

This is joint work with Leszek Demkowicz.

Hosted by Leszek Demkowicz