Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems

Author:

Abdulle Assyr,Huber Martin E.

Publisher

EDP Sciences

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference53 articles.

1. Abdulle A., On a priori error analysis of fully discrete heterogeneous multiscale FEM.Multiscale Model. Simul.4(2005) 447–459.

2. A. Abdulle, The finite element heterogeneous multiscale method: a computational strategy for multiscale PDEs, in Multiple scales problems in biomathematics, mechanics, physics and numerics. Vol. 31 ofGAKUTO Internat. Ser. Math. Sci. Appl.Gakkōtosho, Tokyo (2009) 133–181.

3. Abdulle A., A priori and a posteriori error analysis for numerical homogenization: a unified framework.Ser. Contemp. Appl. Math. CAM16(2011) 280–305.

4. Abdulle A., Engquist W.E.B. and Vanden-Eijnden E., The heterogeneous multiscale method.Acta Numer.21(2012) 1–87.

5. Abdulle A., Grote M.J. and Stohrer C., Finite element heterogeneous multiscale method for the wave equation: long-time effects.Multiscale Model. Simul.12(2014) 1230–1257.

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