Jacob Fish


606 S.W. Mudd
Mail Code 4721

Tel(212) 854-5275
Fax(917) 677-2112

Jacob Fish is a computational scientist that creates simulation-based design approaches that: (i) remove traditional scale related barriers between physics, chemistry, biology, and various engineering disciplines; (ii) is predictive rather than diagnostic; and (iii) multiphysics-multiscale rather than phenomenological.

Research Interests

Computational engineering, multiscale methods, composite materials, finite elements.

Fish has made many fundamental and seminal contributions to multiscale computational science and engineering. Among the most noteworthy contributions are: the s- method for adaptivity, multiscale enrichment elements, homogenization of discrete media, multigrid-based multiscale methods, scale separation-free homogenization methods, reduced order homogenization methods, stochastic multiscale methods, methods accounting for micro-inertia effect, and coupling of multiple physical process at multiple spatial and temporal scales. His research has had tremendous impact on industry:  his multiscale methodologies have been employed for manufacturing of GE90 fan blades; environmental degradation of turbo-engines for General Electric, United Technologies, and Rolls-Royce; life prediction of aerospace components for Lockheed-Martin, Northrop-Grumman, and Sikorski; energy absorption of composite cars manufactured by  General Motors; aging and environmental degradation of  composites in collaboration with Boeing and GE Aviation; reinforced concrete structures; piezoelectric and ferroelectric materials; various nanotechnology applications ranging from nanodevices to nanomaterials; and most recently, additive manufacturing, fracture of femur, and manufacturing processes. 

Fish received a PhD in Theoretical and Applied Mechanics from Northwestern University in 1989. He serves as an editor-in-chief of the Journal of Multiscale Computational Engineering, editor of the International Journal for Numerical Methods in Engineering, and is on the editorial boards of numerous journals. He is a past president of the United States Association for Computational Mechanics (USACM); a Fellow of American Academy of Mechanics, United States Association for Computational Mechanics (USACM), and the International Association for Computational Mechanics (IACM).

Jacob Fish received his BS in structural engineering in 1982 and his MS in structural mechanics in 1985 from Technion – Israel Institute of Technology. In 1989, he graduated with a PhD in theoretical and applied mechanics from Northwestern University. He joined the faculty of Columbia Engineering in 2010. 


  • The Carleton Professor of Engineering, civil engineering and engineering mechanics, Columbia University, 2011-
  • Director, Multiscale Science and Engineering Center at Columbia University, 2011-
  • Founder and president, Multiscale Design Systems, 2008-15
  • Director, Multiscale Science and Engineering Center at Rensselar Polytechnic Institute (RPI), 2006-10.
  • The Redfern Professor in Engineering; mechanical, aerospace, and nuclear Engineering (MANE) and civil and environmental engineering (CEE), RPI, 2006-10
  • Professor, MANE and CEE, RPI, 1998-2010
  • Visiting chair professor, Ecole Normale Superieure de Cachan, France, 2001
  • Associate professor, CEE and MANE (joint), RPI, 1994-1998
  • Assistant professor, CEE, RPI, 1989-1994
  • Research engineer, Methods Development Group, Aircraft Industries, Israel, 1984-86
  • Structural engineer, Civil Engineering Consulting, Inc., Tel-Aviv, Israel, 1982-84


  • US Association for Computational Mechanics (USACM)
  • International Association for Computational Mechanics (IACM)


  • IACM Computational Mechanics Award, 2010
  • Best Journal Award, Begell House, 2008
  • Fellow, American Academy of Mechanics, 2007
  • USACM Computational Structural Mechanics Award, 2005
  • Rensselaer School of Engineering Research Award, 2003
  • Fellow, International Association for Computational Mechanics, 2001
  • Fellow, US Association for Computational Mechanics, 2000


  • J. Fish, “Practical Multiscaling,” John Wiley, 2013. 
  • J. Fish and T. Belytschko, “A First Course in Finite Elements,” John Wiley, 2007.
  • J. Fish, “The s-version of the finite element method,” Computers and Structures, Vol. 43, No. 3, pp. 539-547, (1992).
  • J. Fish, K. Shek, M. Pandheeradi, and M.S. Shephard, “Computational Plasticity for Composite Structures Based on Mathematical Homogenization: Theory and Practice,” Comp. Meth. Appl. Mech. Engng., Vol. 148, pp. 53-73, (1997)
  • J. Fish and V. Belsky, “Multigrid method for a periodic heterogeneous medium. Parts 1 & 2. Comp. Meth. Appl. Mech. Engng., Vol. 126, 1-38, (1995).
  • C. Oskay and J. Fish, “Eigendeformation-Based Reduced Order Homogenization,” Comp. Meth. Appl. Mech. Engng., Vol. 196, pp. 1216-1243, (2007).
  • J. Fish and S. Kuznetsov, "Computational Continua,” International Journal for Numerical Methods in Engineering, Vol. 84, pp. 774-802, (2010).
  • J. Fish, V. Filonova and S. Kuznetsov, “Micro Inertia Effects in Nonlinear Heterogeneous Media,” International Journal for Numerical Methods in Engineering, Vol. 91, Issue 13, pp. 1406-1426, (2012).
  • J. Fish and N. Hu. Multiscale Modeling of Femur Fracture. International Journal for Numerical Methods in Engineering, 10.1002/nme.5450, 2017.
  • Y. Jiao and J. Fish. Is an additive decomposition of a rate of deformation and objective stress rates passé? To appear in Computer Methods in Applied Mechanics and Engineering, 2017.