Mean Convergence of Interpolation Polynomials in a Domain with Corners

On the rate of convergence of solutions

On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary

✍ G. A. Chechkin; C. D'Apice; U. De Maio 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 335 KB

In this paper we deal with the homogenization problem for the Poisson equation in a singularly perturbed domain with multilevel periodically oscillating boundary. This domain consists of the body, a large number of thin cylinders joining to the body through the thin transmission zone with rapidly os