Partial Differential Equations with Oscillatory Coefficients

Author:

Madureira Alexandre L.

Publisher

Springer International Publishing

Reference38 articles.

1. Allaire, G. (2002). Shape optimization by the homogenization method. In Applied Mathematical Sciences (Vol. 146). New York: Springer. MR1859696 (2002h:49001).

2. Babuška, I., Caloz, G., & Osborn, J. E. (1994). Special finite element methods for a class of second order elliptic problems with rough coefficients. SIAM Journal of Numerical Analysis, 31(4), 945–981. MR1286212 (95g:65146).

3. Babuška, I., & Osborn, J. E. (1983). Generalized finite element methods: Their performance and their relation to mixed methods. SIAM Journal of Numerical Analysis, 20(3), 510–536. MR701094 (84h:65076).

4. Babuška I., & Osborn, J. E. (1985). Finite element methods for the solution of problems with rough input data (Oberwolfach, 1983). Lecture Notes in Mathematics (Vol. 1121, pp. 1–18). Berlin: Springer. MR806382 (86m:65138).

5. Burman, E., Guzman, J., Sanchez, M. A., & Sarkis, M. (2016). Robust flux error estimation of Nitsche’s method for high contrast interface problems. arXiv:1602.00603v1 [math.NA].

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