Robust DPG method for convection-dominated diffusion problems II:
Adjoint boundary conditions and mesh-dependent test norms
Jesse Chan, Norbert Heuer, Tan Bui-Than, and Leszek F. Demkowicz
Comput. Math. Appl. 67 (4), 771-795, 2014.
We introduce a DPG method for convection-dominated diffusion problems.
The choice of test norm is shown to be crucial to achieving robust behavior
with respect to the diffusion parameter
[Demkowicz, Heuer: Robust DPG method for convection-dominated diffusion
problems, SINUM 51 (5), 2514-2537, 2013].
We propose a new inflow boundary condition which regularizes the adjoint
problem, allowing the use of a stronger test norm.
The robustness of the method is proven, and numerical experiments
demonstrate the method's robust behavior.