✦ LIBER ✦
On -error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data
✍ Scribed by Thirupathi Gudi; Neela Nataraj; Amiya K. Pani
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 740 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
In this paper, we present improved a priori error estimates for a nonsymmetric interior penalty Galerkin method (NIPG) with super-penalty for the problem -∆u = f in Ω and u = g on ∂Ω. Using piecewise polynomials of degree less than or equal to r, our new L 2error estimate is of order (h/r) r+1/2 when g ∈ H r+1/2 (∂Ω) and is optimal, i.e., of order (h/r) r+1 when g ∈ H r+1 (∂Ω), where h denotes the mesh size. Numerical experiments are presented to illustrate the theoretical results.
Published by Elsevier B.V.