RESEARCH LINESMathematical and Computational Modelling
| Research Topic | Principal Investigator |
| Advanced NM for computational mechanics (X-FEM, G-FEM, meshless methods, etc). High-order solvers with high-fidelity geometrical resolution. | A. Huerta |
| Reduced-order modeling for fast and multiple queries, real time optimization and uncertainty quantification. Goal-oriented error assessment and mesh adaptivity. | P. Diez |
Relevant Publications
Huerta A. and Liu W.K.
Viscous flow with large free surface motion .
Computer Methods in Applied Mechanics and Engineering, Vol. 69 (3), pp. 277-324, 1988
Díez P., Egozcue J.J. and Huerta A.
A posteriori error estimation for standard finite element analysis .
Computer Methods in Applied Mechanics and Engineering, Vol. 163 (1), pp. 141-157, 1998
Díez P. and Huerta A.
A unified approach to remeshing strategies for finite element h-adaptivity .
Computer Methods in Applied Mechanics and Engineering, Vol. 176 (1), pp.215-229, 1999
Huerta A., Rodríguez A., Díez P. and Sarrate J.
Adaptive finite element strategies based on error assessment .
Wiley & Sons, 1999
Huerta A. and Díez P.
Error estimation including pollution assessment for nonlinear finite element analysis .
Computer Methods in Applied Mechanics and Engineering, Vol. 181 (1), pp. 21-41, 2000
Arroyo M. and Belytschko T.
An atomistic-based finite deformation membrane for single layer crystalline films .
Journal of the Mechanics and Physics of Solids, Vol. 50 (9), pp. 1941-1977, 2002
Arroyo M. and Belytschko T.
Nonlinear mechanical response and rippling of thick multiwalled carbon nanotubes .
Physical Review Letters, Vol. 91 (21), pp. 215505, 2003
Donea J. and Huerta A.
Finite element methods for flow problems .
John Wiley & Sons, 2003
Fernández-Méndez S. and Huerta A.
Imposing essential boundary conditions in mesh-free methods .
Computer Methods in Applied Mechanics and Engineering, Vol. 193 (12), pp. 1257-1275, 2004
Arroyo M. and Belytschko T.
Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule .
Physical Review B, Vol. 69 (11), pp. 115415, 2004
Arroyo M. and Ortiz M.
Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfreemethods .
Int. J. for Numerical Methods in Engng., Vol. 65 (13), pp. 2167-2202, 2006
Jason L., Huerta A., Pijaudier-Cabot J. and Ghavamian S.
An elastic plastic damage formulation for concrete: Application to elementary tests and comparison with anisotropic damage model .
Computer Methods in Applied Mechanics and Engineering, Vol. 195 (52), pp. 7077-7092, 2006
Parés N., Díez P. and Huerta A.
Subdomain-based flux-free a posteriori error estimators .
Computer Methods in Applied Mechanics and Engineering, Vol. 195 (4), pp. 297-323, 2006
Sevilla R., Fernández-Méndez S. and Huerta A.
NURBS-enhanced finite element method (NEFEM) .
International Journal for Numerical Methods in Engineering, 76 (1), Vol.56-83, 2008
Lu Q., Arroyo M. and Huang R.
Elastic bending modulus of monolayer graphene .
Journal of Physics D: Applied Physics, Vol. 42 (10), pp. 102002, 2009