Finite element approximations in a non-Lipschitz domain: Part II

  title={Finite element approximations in a non-Lipschitz domain: Part II},
  author={Gabriel Acosta and Mar{\'i}a G. Armentano},
  journal={Math. Comput.},
In a paper by R. Durán, A. Lombardi, and the authors (2007) the finite element method was applied to a non-homogeneous Neumann problem on a cuspidal domain Ω ⊂ R2, and quasi-optimal order error estimates in the energy norm were obtained for certain graded meshes. In this paper, we study the error in the L2 norm obtaining similar results by using graded meshes of the type considered in that paper. Since many classical results in the theory Sobolev spaces do not apply to the domain under… CONTINUE READING


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 27 references

Finite element approximations in a non-Lipschitz domain

  • G. Acosta, M. G. Armentano, R. G. Durán, A. L. Lombardi
  • SIAM Journal on Numerical Analysis 45(1), pp. 277…
  • 2009
Highly Influential
10 Excerpts

Differentiable functions on bad domains

  • V. Mazya, S. Poborchi
  • World Sci., Singapore
  • 1997
Highly Influential
5 Excerpts

Elliptic Problems in Nonsmooth Domains

  • P. Grisvard
  • Pitman, Boston
  • 1985
Highly Influential
7 Excerpts

Similar Papers

Loading similar papers…