Higher-Order Homogenization of Initial/Boundary-Value Problem

By Jacob Fish, Wen Chen. 2001

121 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/73e7008e4bea0e68f49a508064a90d90d62b7155

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. C. McVeigh
2. Wing Kam Liu
3. Jacob Fish
4. Igor V. Andrianov
5. V. Danishevskyy
6. Shaofan Li
7. Natarajan Sukumar
8. Ted Belytschko

In Computational Theory and Mathematics

1. C. McVeigh
2. Wing Kam Liu
3. Jacob Fish
4. Igor V. Andrianov
5. D. Weichert
6. V. Danishevskyy
7. Carlos Armando Duarte
8. Ted Belytschko

In Mechanics of Materials

1. C. McVeigh
2. Wing Kam Liu
3. Jacob Fish
4. Igor V. Andrianov
5. D. Weichert
6. V. Danishevskyy
7. Ted Belytschko
8. Carlos Armando Duarte

Citations in the corpus

• Higher order asymptotic homogenization and wave propagation in periodic composite materials (2008, result): “A (2008) provides a long-wave approach valid in the low-frequency range (Boutin & Auriault 1993; Boutin 1995; Chen & Fish 2001; Fish & Chen 2001, 2004; Bakhvalov & Eglit 2005).”
• Predictive multiscale theory for design of heterogeneous materials (2008, methodology): “An alternative approach is to replace the DNS microscaleregionswith higher ordercontinua[ 71 ,56,39,40] which allows extra physics to be introduced at each scale through the embedded physical length scales associated with gradient terms.”
• Bridging the scales in nano engineering and science (2006, background): “The motivation for introduction of slow time scales was given in Fish and Chen (2001) , where it has been shown that in absence of slow time scales the scaling parameter e ¼ Oð ffiffi �t p Þ becomes time”