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 whe
✦ LIBER ✦
Asymptotic error estimates for perturbations of linear elliptic problems on nonsmooth domains
✍ Scribed by Weimin Han
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 678 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0895-7177
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## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a two‐dimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.