Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation

@article{Gopalakrishnan2014DispersiveAD,
  title={Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation},
  author={Jayadeep Gopalakrishnan and Ignacio Muga and Nicole Olivares},
  journal={SIAM J. Scientific Computing},
  year={2014},
  volume={36}
}
This paper studies the discontinuous Petrov–Galerkin (DPG) method, where the test space is normed by a modified graph norm. The modification scales one of the terms in the graph norm by an arbitrary positive scaling parameter. The main finding is that as the parameter approaches zero, better results are obtained, under some circumstances, when the method is… CONTINUE READING