English

Brezzi--Douglas--Marini interpolation on anisotropic simplices and prisms

Numerical Analysis 2024-01-22 v1 Numerical Analysis

Abstract

The Brezzi--Douglas--Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in L2L^2, the other considering parallelotopes with estimates in terms of LpL^p-norms. This contribution provides generalized estimates for anisotropic simplices for the LpL^p case, 1p1\leq p\leq\infty, and shows new estimates for anisotropic prisms with triangular base.

Cite

@article{arxiv.2205.04734,
  title  = {Brezzi--Douglas--Marini interpolation on anisotropic simplices and prisms},
  author = {Volker Kempf},
  journal= {arXiv preprint arXiv:2205.04734},
  year   = {2024}
}
R2 v1 2026-06-24T11:12:47.961Z