Global Carleman estimates for weak solutions of elliptic nonhomogeneous Dirichlet problems
β Scribed by Oleg Yu. Imanuvilov; Jean-Pierre Puel
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 72 KB
- Volume
- 335
- Category
- Article
- ISSN
- 1631-073X
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π SIMILAR VOLUMES
In this paper, we present improved a priori error estimates for a nonsymmetric interior penalty Galerkin method (NIPG) with super-penalty for the problem -βu = f in β¦ and u = g on ββ¦. 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
By applying the properties of the unique classical solution to the singular boundary value problem on half line -p (s) = g(p(s)); p(s) ΒΏ 0; s β (0; β); p(0) = 0; limsββp (s) = b ΒΏ 0, and constructing the new comparison functions, they show the existence and the optimal global estimates of solutions