With this paper, our investigation of the finite element approximation on curved boundaries using Raviart-Thomas spaces in the context of first-order system least squares methods is continued and extended to the higher-order case. It is shown that the optimal order of convergence is retained from the lowest-order case if a parametric version of Raviart-Thomas elements is used. This is illustrated numerically for an elliptic boundary value problem involving a circular boundary curve.
|Number of pages||16|
|Journal||SIAM Journal on Numerical Analysis|
|Publication status||Published - 2014|
- Firstorder system least squares
- Interpolated boundaries
- Parametric finite elements
- Raviart-Thomas spaces