Monotone local projection stabilization schemes for continuous finite elements

@inproceedings{Kuzmin2016MonotoneLP,
  title={Monotone local projection stabilization schemes for continuous finite elements},
  author={Dmitri Kuzmin and Steffen Basting and John N. Shadid},
  year={2016}
}
This paper presents a new approach to enforcing discrete maximum principles and/or positivity preservation in continuous piecewise-linear finite element approximations to convection-dominated transport problems. Using a linear first-order advection equation as a model problem, we construct elementlevel bilinear forms associated with first-order artificial… CONTINUE READING