Towards a taxonomy for multiscale methods in computational mechanics: building blocks of existing methods

Author:

Gravemeier Volker,Lenz Stefan,Wall Wolfgang A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Mechanical Engineering,Ocean Engineering,Computational Mechanics

Reference59 articles.

1. Abraham FF, Broughton JQ, Bernstein N and Kaxiras E (1998). Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture. Europhys Lett 44: 783–787

2. Bochev P, Christon M, Collis SS, Lehoucq R, Shadid J, Slepoy A, Wagner G (2004) A mathematical framework for multiscale science and engineering: the variational multiscale method and interscale transfer operators. SAND report 2004–2871, Sandia National Laboratories

3. Botasso CL (2002). Multiscale temporal integration. Comput Methods Appl Mech Eng 191: 2815–2830

4. Brandt A (2001). Multiscale scientific commputation: review 2001. In: Barth, T, Chan, T and Haimes, R (eds) Multiscale and multiresolution methods: theory and applications, pp 1–96. Springer, Heidelberg

5. Broughton JQ, Abraham FF, Bernstein N and Kaxiras E (1999). Concurrent coupling of length scales: methodology and application. Phys Rev B 60: 2391–2403

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