Publications

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Contents

Journal Papers

  • Y. Shen and A.J. Lew, "A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids," accepted in Computer Methods in Applied Mechanics and Engineering, in press. (doi)
  • R. Rangarajan and A.J. Lew, "Universal Meshes: A method for triangulating planar curved domains immersed in nonconforming triangulations", accepted in International Journal for Numerical methods in Engineering. (arXiv)
  • P. Mata and A. J. Lew, “Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves,” Journal of Computational Physics, Vol. 257, Part B, pp. 1423–1443, 2014. (doi)
  • R. Rangarajan and A.J. Lew, "Analysis of a method to parameterize planar curves immersed in triangulations,” SIAM Journal on Numerical Analysis, Vol. 51, No. 3, pp. 1392-1420. (pdf)(arXiv)
  • M. Hunsweck, Y. Shen and A.J. Lew, “A finite element approach to the simulation of hydraulic fractures with lag,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 37, No. 9, pp. 993-1015, 2013. (pdf)
  • Y. Shen and A.J. Lew, “A family of discontinuous Galerkin methods for nearly and perfectly incompressible elasticity,” ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 46, No. 5, pp. 1003-1028, 2012. (pdf)](doi)
  • R. Ryckman and A.J. Lew, “An explicit asynchronous contact algorithm for elastic body-rigid wall interaction,” International Journal for Numerical Methods in Engineering, Vol. 89, No. 7, pp. 869–896, 2012. (pdf)(doi)
  • Dharmaraja, S., Kesari, H., Darve, E. and Lew, A.J., "Time integrators based on approximate discontinuous Hamiltonians", International Journal for Numerical Methods in Engineering, in press, 10.1002/nme.3236.(pdf)(doi)
  • Rangarajan R. and Lew A.J., "Parameterization of planar curves immersed in triangulations with application to finite elements", International Journal for Numerical Methods in Engineering, Vol. 88, No. 6, pp. 556-585, 2011.(pdf)(doi)
  • H. Kesari and A.J. Lew, “Effective macroscopic adhesive contact behavior induced by small surface roughness,” Journal of the Mechanics and Physics of Solids, Vol. 59, 2488-2510, 2011. (pdf)(doi)
  • Mata, P. and Lew, A.J., "Variational time integrators for finite dimensional thermo-elasto-dynamics without heat conduction," International Journal for Numerical Methods in Engineering, Vol. 88, No. 1, pp. 1-30, 2011.(pdf) (doi)
  • Kesari, P. and Lew, A.J., "Adhesive frictionless contact between an elastic isotropic half-space and a rigid axi-symmetric punch," Journal of Elasticity, Vol. 106, No. 2, 203-224, 2011.(pdf)(doi)
  • Lew A. and Negri M., "Optimal convergence of a discontinuous-Galerkin-based immersed boundary method", ESAIM:Mathematical Modelling and Numerical Analysis, 45, 651-674, 2011. (pdf)(cvgmt)(doi)
  • Cecka C., Lew A. and Darve E., "Assembly of Finite Element Methods on Graphics Processors", International Journal for Numerical Methods in Engineering, Vol. 85, No. 5, 640-669, 2011.(pdf)(doi)
  • Shen Y. and Lew A., "Stability and convergence proofs for a discontinuous-Galerkin-based extended finite element method for fracture mechanics", Computer Methods in Applied Mechanics and Engineering, 199(37-40), 2360-2382, 2010. (pdf) (doi)
  • Shen Y. and Lew A., "An optimally convergent discontinuous-Galerkin-based extended finite element method for fracture mechanics", International Journal for Numerical Methods in Engineering, 82:6, 716-755, 2010. (pdf) (doi)
  • TenEyck A. and Lew A. "An adaptive stabilization strategy for enhanced strain methods in nonlinear elasticity", International Journal for Numerical Methods in Engineering, 81:11, 1387-1416, 2010. (pdf) (doi)
  • Rangarajan R., Lew A. and Buscaglia G. "A discontinuous-Galerkin-based immersed boundary method with nonhomogeneous boundary conditions and its applications to elasticity", Computer Methods in Applied Mechanics and Engineering, 198, 1513-1534, 2009. (pdf) (doi)
  • Lew A.J. and Buscaglia G.C., "A discontinuous-Galerkin-based immersed boundary method", International Journal for Numerical Methods in Engineering, 76:4, 427-454, 2008. (pdf)(doi)
  • Fong W., Darve E. and Lew A., "Stability of Asynchronous Variational Integrators", Journal of Computational Physics, 227, 8367-8394, 2008. (pdf)(doi)
  • Ten Eyck A., Celiker F., and Lew A., "Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Analytical estimates", Computer Methods in Applied Mechanics and Engineering, 197, 2989-3000, 2008. (pdf) (doi)
  • Ten Eyck A., Celiker F., and Lew A., "Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Motivation, formulation and numerical examples", Computer Methods in Applied Mechanics and Engineering, 197, 3605-3622, 2008. (pdf) (doi)
  • Kwon R. Y., Lew A. J. and Jacobs C. R., "A microstructurally informed model for the mechanical response of three-dimensional actin networks", Computer Methods in Biomechanics and Biomedical Engineering, 11:4, 407-418, 2008. (pdf)(doi)
  • Kale K. and Lew A., "Parallel Asynchronous Variational Integrators", International Journal for Numerical Methods in Engineering, 70, 2007, 291-321. (pdf) (doi)
  • Ten Eyck A. and Lew A., "Discontinuous Galerkin methods for nonlinear elasticity", International Journal for Numerical Methods in Engineering, 67, 2006, 1204-1243. (pdf) (doi)
  • Lew A., Caspersen K., Carter E. and Ortiz M., "Quantum-mechanics-based multiscale modeling of stress-induced phase transformations in iron", Journal of the Mechanics and Physics of Solids, 54(6), 2006, 1276-1303. (pdf)(doi)
  • Braides A., Lew A. and Ortiz M., "Effective cohesive behavior of layers of interatomic planes", Archive for Rational Mechanics & Analysis, 180 (2), 151-182, 2006. (pdf)(doi)
  • Caspersen K., Lew A., Carter E. and Ortiz M., "Importance of shear in the bcc-to-hcp transformation in Iron", Physical Review Letters, 93, 115501, 2004. (pdf)(doi)
  • Lew A., Neff P., Sulsky D. and Ortiz M., "Optimal BV estimates for a discontinuous Galerkin method for linear elasticity", Applied Mathematics Research eXpress, 3, 2004. (pdf)(doi)
  • Lew A., Marsden J., Ortiz M. and West M., "Variational time integrators", International Journal for Numerical Methods in Engineering, 60, 153-212, 2004. (pdf)(doi)
  • Lew A., Marsden J., Ortiz M. and West M., "Asynchronous variational integrators", Archive for Rational Mechanics & Analysis, 167 (2), 85-146, 2003. (pdf)(doi)
  • Lew A., Radovitzky R. and Ortiz M., "An artificial-viscosity method for the Lagrangian analysis of shocks in solids with strength on unstructured, arbitrary order tetrahedral meshes", Journal of Computer-Aided Materials Design, 8 (2-3), 213-231, 2001. (pdf)(doi)
  • Lew A., Buscaglia G. and Carrica P., "A note on the numerical treatment of the k-epsilon turbulence model", International Journal of Computational Fluid Dynamics, 14 (3), 201-209, 2001. (pdf)(doi)

Book Chapters

  • Lew A., “Elastodynamics,” in B. Engquist (eds.), Encyclopedia of Applied and Computational Mathematics, DOI 10.1007/978-3-540-70529-1, Springer-Verlag Berlin Heidelberg 2013.
  • C. Cecka, A. Lew and E. Darve, “Application of assembly of finite element methods on graphics processors for real-time elastodynamics,” in Wen-Mei W. Hwu, GPU Computing Gems, Jade Edition, pp. 187-206, Morgan Kauffmann, 2011. (pdf)(doi)
  • Lew A., Marsden J.E., Ortiz M. & West M., "An overview of variational integrators", in Franca L.P., Tezduyar T.E. and Masud A.,"Finite Element Methods: 1970's and Beyond", volume dedicated to T. Hughes in his 60th birthday, CIMNE, Barcelona, 2004. (pdf)
  • Lew A. & Ortiz M., "Asynchronous variational integrators", in "Geometry, Mechanics and Dynamics", volume dedicated to J. Marsden in his 60th birthday, Springer 2002. (pdf)

Theses

  • Ryckman, Raymond A., "Algorithmic and experimental contributions to the study of ballistic penetration of tissue-like materials." Ph.D. Thesis, Stanford University, 2012. (pdf)
  • Rangarajan, Ramsharan. "Universal meshes: A new paradigm for computing with nonconforming triangulations." Ph.D. Thesis, Stanford University, 2012. (pdf)
  • Dharmaraja S. "Time integrators based on approximate discontinuous Hamiltonians." Ph.D. Thesis, Stanford University, 2011. (pdf)
  • Kesari, H. "Mechanics of hysteretic adhesive elastic mechanical contact between rough surfaces." Ph.D. Thesis, Stanford University, 2011. (pdf)
  • Fong W., "Multi-scale methods in time and space for particle simulations", Ph.D. Thesis, Stanford University, 2009. (pdf)
  • Ten Eyck A., "Discontinuous Galerkin methods for approximating the solutions to problems in nonlinear elasticity", Ph.D. Thesis, Stanford University, 2008. (pdf)
  • Davies, M., "From chains to networks: an adaptive, coarse-grained method for simulating elastomers at the rubbery plateau", Ph.D. Thesis, Stanford University, 2008. (pdf)
  • Kwon, R., "Mechanical behavior and early molecular signaling during mechanotransduction of fluid flow in bone cells", Ph.D. Thesis, Stanford University, 2008. (pdf)
  • Lew A., "Variational Time Integrators in Computational Solid Mechanics", Ph.D. Thesis, California Institute of Technology, 2003. Available at Caltech and here. (pdf)

Conference Articles

  • Kabaria Hardik, and Lew Adrian J., “Universal Meshes for computing with non-conforming tetrahedralization," in Proceedings of the 22nd International Meshing Roundtable, Oct 12-16, Orlando, Florida, 2013. (pdf)
  • R.A. Ryckman, D.A. Powell and A.J. Lew, “Ballistic penetration of perma-gel,” Proceedings of the 17th APS Topical Conference on Shock Compression of Condensed Matter, 2011, in press. (pdf)
  • Lew A. & Shen Y., "A discontinuous-Galerkin-based extended finite element method: immersed boundary perspective and optimal convergence," NSF-CMMI Research and Innovation Conference 2011. (pdf)
  • R.A. Ryckman and A.J. Lew, “Explicit asynchronous contact algorithm for elastic-rigid body interaction,” in: G. Zavarise and P. Wriggers (Eds.), Trends in Computational Contact Mechanics, Vol. 58 of Lecture Notes in Applied and Computational Mechanics, Springer, pp. 169-191, 2010. (pdf)(doi)
  • Cecka C., Lew A., & Darve E., "Introduction to Assembly of Finite Element Methods on Graphics Processors," Proceedings of the X World Congress in Computational Mechanics, IOP Conference Series.: Mater. Sci. Eng., 10, 012009, 2010. (pdf) (doi)
  • Potts M.A., Lew A., Ryckman R. & Rangarajan R., "Some new algorithmic ideas for the simulation of ballistic gel penetration", 1st Annual ARL Research in Ballistic Protection Technologies Workshop Conference Proceedings, Herndon, VA, May 24-26, 2010.(pdf)
  • M. Davies and A. Lew, “Tests of the affinity assumption in phantomlike elastomer networks,” in A. Lendlein, V. Prasad Shastri and K. Gall (eds.), Active Polymers (Mater. Res. Soc. Symp. Proc.), Vol. 1190, 1190-NN11-38, 2009 (pdf)(doi)
  • Rangarajan R., Ryckman R. and Lew A., "Towards long-time simulation of soft-tissue simulant penetration,", Proceedings of the 26th Army Science Conference, Orlando, FL, December 1-4, 2008.(pdf)
  • Lew A., Ten Eyck A. and Rangarajan R., "Some applications of discontinuous Galerkin methods in solid mechanics", Proceedings of the IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media, B. Daya Reddy (Ed.), Springer, 2008. (pdf)(doi)
  • A. Lew, “Parallel Asynchronous Variational Integrators,” in M. Papadrakakis et al. (eds.), Proceedings of ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Rethymno, Crete, Greece, 13-16 June 2007. (pdf)
  • Fong W., Darve E. & Lew A., "Stability of Asynchronous Variational Integrators", Proceedings of the 21st International Workshop on on Principles of Advanced and Distributed Simulation, IEEE Computer Society Washington, DC, USA, 38-44, 2007. (pdf)(doi)
  • A. Ten Eyck and A. Lew, “Discontinuous Galerkin methods for nonlinear elasticity,” in C.A. Mota Soares et al. (eds.), Proceedings of III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering, Lisbon, Portugal, 5-8 June 2006. (pdf)
  • C. Farhat, J.G. Michopoulos, F.K. Chang, L.J. Guibas and A.J. Lew, “Towards a dynamic data driven system for structural and material health monitoring,” in V.N. Alexandrov et al. (eds), Computational Science - ICCS 2006, Vol. 3993 of Lecture Notes in Computational Science, pp. 456-464, Springer-Verlag, 456-464, 2006. (pdf)(doi)
  • Lew A. & Ortiz M., "Bridging time-scales in solid dynamics: asynchronous variational integrators", in K.J. Bathe (Ed), Computational Fluid and Solid Mechanics, 2048-2053, 2003. (pdf)
  • Buscaglia G., Dari E., Lew A. & Raschi M., "Un programa general de elementos finitos en paralelo" (A general program of finite elements in a parallel environment), Proceedings of VI Argentine Congress of Computacional Mechanics, 1999. (In spanish) (pdf)

Patents

  • S. Dharmaraja, A. Duran and A. Lew, “Method and System for Virtual Keyboard,” non-provisional patent (pending) 900001-600071, 2012 (Stanford Report).

In the news

Other Articles

  • Lew A.J., Rangarashan R., Hunsweck M.J., Gawlik E.S., Kabaria H., and Shen Y., "Universal Meshes: Enabling High-Order Simulation of Problems with Moving Domains," IACM Expressions, 32, 2013, pp. 12-16. (pdf)
  • Lew A., "Computational Solid Mechanics in the 21st century", ME News, 2004. (pdf)
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