Analysis of a FEM for a coupled system of singularly perturbed reaction–diffusion equations

Author:

Linß Torsten

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference10 articles.

1. Bakhvalov, N.S.: Towards optimization of methods for solving boundary value problems in the presence of boundary layers. Zh. Vychisl. Mat. i Mat. Fiz. 9, 841–859 (1969) (in Russian)

2. de Boor, C.: Good approximation by splines with variable knots. In: Meir, A., Sharma, A., (eds.) Spline Functions Approx. Theory, Proc. Sympos. Univ. Alberta, Edmonton 1972, pp. 57–72. Birkhäuser, Basel and Stuttgart (1973)

3. Linß, T.: Sufficient conditions for uniform convergence on layer-adapted grids. Appl. Numer. Math. 37(1–2), 241–255 (2001)

4. Linß, T., Madden, N.: A finite element analysis of a coupled system of singularly perturbed reaction–diffusion equations. Appl. Math. Comput. 148(3), 869–880 (2004)

5. Linß, T., Madden, N.: Layer-adapted meshes for a system of coupled singularly perturbed reaction–diffusion problem. IMA J. Numer. Anal. (2008, in press)

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