An Example of High Order Residual Distribution Scheme Using non-Lagrange Elements

@article{Abgrall2010AnEO,
  title={An Example of High Order Residual Distribution Scheme Using non-Lagrange Elements},
  author={R{\'e}mi Abgrall and J. Trefil{\'i}k},
  journal={J. Sci. Comput.},
  year={2010},
  volume={45},
  pages={3-25}
}
We are interested in the numerical approximation of non-linear hyperbolic problems. The particular class of schemes we are interested in are the so-called Residual Distribution (RD) schemes. In their current form, they rely on the Lagrange interpolation of the point values of the approximated functions. This interpretation of the degrees of freedom as point values plays a fundamental role in the derivation of the schemes. The purpose of the present paper is to show that some non-Lagrange… CONTINUE READING