A Two-Grid Method on Layer-Adapted Meshes for a Semilinear 2D Reaction-Diffusion Problem

Author:

Angelova Ivanka T.,Vulkov Lubin G.

Publisher

Springer Berlin Heidelberg

Reference18 articles.

1. Angelova, I.T., Vulkov, L.G.: Comparison of the Two-Grid Method on Different Meshes for a Singularly Perturbed Semilinear Problem. Amer. Inst. of Phys. 1067, 305–312 (2008)

2. Axelsson, O.: On Mesh Independence and Newton Methods. Applications of Math. 4-5, 249–265 (1993)

3. Bakhvalov, N.S.: On the Optimization Methods for Solcing Boundary Value Problems with Bounsary Layers. Zh. Vychisl. Math. Fiz. 24, 841–859 (1969) (in Russian)

4. Clavero, C., Gracia, J., O’Riordan, E.: A Parameter Robust Numerical Method for a Two Dimensionsl Reaction-Diffusion Problem. Math. Comp. 74, 1743–1758 (2005)

5. Duran, A., Lombardi, A.: Finite element approximation of convection-diffusion problems using graded meshes. Appl. Numer. Math. 56, 1314–1325 (2006)

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1. A two-grid method for elliptic problem with boundary layers;Applied Numerical Mathematics;2015-07

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