A Symmetric Nodal Conservative Finite Element Method for the Darcy Equation

@article{Barrenechea2009ASN,
  title={A Symmetric Nodal Conservative Finite Element Method for the Darcy Equation},
  author={Gabriel R. Barrenechea and Leopoldo P. Franca and Fr{\'e}d{\'e}ric Valentin},
  journal={SIAM J. Numerical Analysis},
  year={2009},
  volume={47},
  pages={3652-3677}
}
Abstract. This work introduces and analyzes novel stable Petrov-Galerkin Enriched Methods (PGEM) for the Darcy problem based on the simplest but unstable continuous P1/P0 pair. Stability is recovered inside a Petrov-Galerkin framework where element-wise dependent residual functions, named multi-scale functions, enrich both velocity and pressure trial spaces… CONTINUE READING