Preprints

  1. J. Benzaken, A. Doostan, and J.A. Evans, "Physics-based tolerance allocation: A surrogate-based framework for the control of geometric variation on system performance." Submitted for publication. [.pdf]
  2. F. de Prenter, C.V. Verhoosel, E.H. van Brummelen, J.A. Evans, C. Messe, J. Benzaken, and K. Maute, "Scalable multigrid methods for immersed finite element methods and immersed isogeometric analysis." Submitted for publication. [.pdf]
  3. L. Engvall and J.A. Evans, "Mesh quality metrics for isogeometric Bernstein-Bezier discretizations." Submitted for publication. [.pdf]

Refereed Journal Articles - In Press

  1. J.A. Evans, M.A. Scott, K. Shepherd, D. Thomas, and R. Vazquez, "Hierarchical B-spline complexes of discrete differential forms." IMA Journal of Numerical Analysis, accepted for publication. [.pdf]

Refereed Journal Articles - 2019

  1. E.L. Peters and J.A. Evans, "A divergence-conforming hybridized discontinuous Galerkin method for the incompressible Reynolds Averaged Navier-Stokes equations." International Journal for Numerical Methods in Fluids, 91:112-133, 2019. [.pdf]
  2. R.W. Skinner, A. Doostan, E.L. Peters, J.A. Evans, and K.E. Jansen, "A reduced-basis multi-fidelity approach for an efficient parameteric study of NACA airfoils." AIAA Journal, 57:1481-1491, 2019. [.pdf]

Refereed Journal Articles - 2018

  1. E.P. Kightley, A. Pearson, J.A. Evans, and D.M. Bortz, "Fragmentation of biofilm-seeded bacterial aggregates in shear flow." European Journal of Applied Mathematics, 29:1062-1078, 2018. [.pdf]
  2. X. Wei, Y. Zhang, D. Toshniwal, H. Speleers, X. Li, C. Manni, J.A. Evans, and T.J.R. Hughes, "Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis." Computer Methods in Applied Mechanics and Engineering, 341:609-639, 2018. [.pdf]
  3. D. Bommes, J.A. Evans, and L. Liu, "Special Issue on the 12th International Conference on Geometric Modeling and Processing (GMP 2018)." Computer Aided Geometric Design, 62:1-2, 2018. [.pdf]
  4. J.A. Evans, R.R. Hiemstra, T.J.R. Hughes, and A. Reali, "Explicit higher-order accurate isogeometric collocation methods for structural dynamics." Computer Methods in Applied Mechanics and Engineering, 338:208-240, 2018. [.pdf]
  5. C. Coley, J. Benzaken, and J.A. Evans, "A geometric multigrid method for isogeometric compatible discretizations of the generalized Stokes and Oseen problems." Numerical Linear Algebra with Applications, 25:e2145, 2018. [.pdf]
  6. C. Coley and J.A. Evans, "Variational multiscale modeling with discontinuous subscales: Analysis and application to scalar transport." Meccanica, 53:1241-1269, 2018. [.pdf]
  7. R. Simpson, Z. Liu, R. Vazquez, and J.A. Evans, “An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations.” Journal of Computational Physics, 362:264-289, 2018. [.pdf]
  8. J. Chan and J.A. Evans, "Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: Explicit time-stepping and efficient mass matrix inversion." Computer Methods in Applied Mechanics and Engineering, 333:22-54, 2018. [.pdf]

Refereed Journal Articles - 2017

  1. D. Kamensky, J.A. Evans, M.-C. Hsu, and Y. Bazilevs, “Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid-thin structure interation analysis, with application to heart valve modeling.” Computers and Mathematics with Applications, 74:2068-2088, 2017. [.pdf]
  2. L. Engvall and J.A. Evans, "Isogeometric unstructured tetrahedral and mixed-element Bernstein-Bezier discretizations." Computer Methods in Applied Mechanics and Engineering, 319:83-123, 2017. [.pdf]
  3. J. Benzaken, A.J. Herrema, M.-C. Hsu, and J.A. Evans, "A rapid and efficient isogeometric design space exploration framework with application to structural mechanics." Computer Methods in Applied Mechanics and Engineering, 316:1215-1256, 2017. [.pdf]
  4. T.M. van Opstal, J. Yan, C. Coley, J.A. Evans, T. Kvamsdal, and Y. Bazilevs, "Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows." Computer Methods in Applied Mechanics and Engineering, 316:859-879, 2017. [.pdf]
  5. D. Kamensky, M.-C. Hsu, Y. Yu, J.A. Evans, M.S. Sacks, and T.J.R. Hughes, "Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines." Computer Methods in Applied Mechanics and Engineering, 314:408-472, 2017. [.pdf]

Refereed Journal Articles - 2016

  1. C. Michoski, J. Chan, L. Engvall, and J.A. Evans, "Foundations of the blended isogeometric discontinuous Galerkin (BIDG) method." Computer Methods in Applied Mechanics and Engineering, 305:658-681, 2016. [.pdf]
  2. L. Engvall and J.A. Evans, "Isogeometric triangular Bernstein-Bezier discretizations: Automatic mesh generation and geometrically exact finite element analysis." Computer Methods in Applied Mechanics and Engineering, 304:378-407, 2016. [.pdf]

Refereed Journal Articles - 2015

  1. D. Kamensky, J.A. Evans, and M.-C. Hsu, "Stability and conservation properties of collocated constraints in immersogeometric fluid-thin structure interaction analysis." Communications in Computational Physics, 18:1147-1180, 2015. [.pdf]
  2. D. Schillinger, J.A. Evans, F. Frischmann, R.R. Hiemstra, M.-C. Hsu, and T.J.R. Hughes, "A collocated finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics." International Journal for Numerical Methods in Engineering, 102:576-631, 2015. [.pdf]
  3. D. Kamensky, M.-C. Hsu, D. Schillinger, J.A. Evans, A. Aggarwal, Y. Bazilevs, M.S. Sacks, and T.J.R. Hughes, "An immersogeometric variational framework for fluid-structure interaction: Application to bioprosthetic heart valves." Computer Methods in Applied Mechanics and Engineering, 284:1005-1053, 2015. [.pdf]
  4. D. Thomas, M.A. Scott, J.A. Evans, K. Tew, and E.J. Evans, "Bézier projection: A unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis." Computer Methods in Applied Mechanics and Engineering, 284:55-105, 2015. [.pdf]
  5. L. De Lorenzis, J.A. Evans, T.J.R. Hughes, and A. Reali, "Isogeometric collocation: Neumann boundary conditions and contact." Computer Methods in Applied Mechanics and Engineering, 284:21-54, 2015. [.pdf]

Refereed Journal Articles - 2014

  1. C. Michoski, D. Meyerson, T. Issac, and F. Waelbroeck, "Discontinuous Galerkin methods for plasma physics in the scrape-off layers of tokamaks." Journal of Computational Physics, 274:898-919, 2014. [.pdf]
  2. D. Meyerson, C. Michoski, F. Waelbroeck, and W. Horton, "Effect of chaos on plasma filament dynamics and turbulence in the scrape-off layer." Physics of Plasmas, 21:072310, 2014. [.pdf]
  3. J. Chan, J.A. Evans, and W. Qiu, "A dual Petrov-Galerkin finite element method for the convection-diffusion equation." Computers and Mathematics with Applications, 68:1513-1529, 2014. [.pdf]
  4. C. Michoski, J.A. Evans, and P.G. Schmitz, "Discontinuous Galerkin hp-adaptive methods for multiscale chemical reactors: Quiescent reactors." Computer Methods in Applied Mechanics and Engineering, 279:163-197, 2014. [.pdf]
  5. T.J.R Hughes, J.A. Evans, and A. Reali, "Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems." Computer Methods in Applied Mechanics and Engineering, 272:290-320, 2014. [.pdf]

Refereed Journal Articles - 2013

  1. D. Schillinger, J.A. Evans, A. Reali, M.A. Scott, and T.J.R. Hughes, "Isogeometric collocation: Cost comparison with Galerkin methods and extension to hierarchical NURBS discretizations." Computer Methods in Applied Mechanics and Engineering, 267:170-232, 2013. [.pdf]
  2. J. Liu, H. Gomez, J.A. Evans, T.J.R. Hughes, and C.M. Landis, "Functional entropy variables: A new methodology for deriving thermodynamically consistent algorithms for complex fluids, with specific reference to the isothermal Navier-Stokes-Korteweg equations." Journal of Computational Physics, 248:47-86, 2013. [.pdf]
  3. J. Liu, L. Dede, J.A. Evans, M.J. Borden, and T.J.R. Hughes, "Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow." Journal of Computational Physics, 242:321-350, 2013. [.pdf]
  4. J.A. Evans and T.J.R. Hughes, "Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations." Journal of Computational Physics, 241:141-167, 2013. [.pdf]
  5. M.A. Scott, R.N. Simpson, J.A. Evans, S. Lipton, S.P.A. Bordas, T.J.R. Hughes, and T.W. Sederberg, "Isogeometric boundary element analysis using unstructured T-splines." Computer Methods in Applied Mechanics and Engineering, 254:197-221, 2013. [.pdf]
  6. J.A. Evans and T.J.R. Hughes, "Isogeometric divergence-conforming B-splines for the steady Navier-Stokes equations." Mathematical Models and Methods in Applied Sciences, 23:1421-1478, 2013. [.pdf]
  7. J.A. Evans and T.J.R Hughes, "Isogeometric divergence-conforming B-splines for the Darcy-Stokes-Brinkman equations." Mathematical Models and Methods in Applied Sciences, 23:671-741, 2013. [.pdf]
  8. J.A. Evans and T.J.R. Hughes, "Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements." Numerische Mathematik, 123:259-290, 2013. [.pdf]

Refereed Journal Articles - 2012

  1. J.A. Evans and T.J.R. Hughes, "Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem." Computational Mechanics, 50:667-674, 2012. [.pdf]
  2. D. Schillinger, L. Dede, M.A. Scott, J.A. Evans, M.J. Borden, E. Rank, and T.J.R. Hughes, "An isogeometric design-through analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces." Computer Methods in Applied Mechanics and Engineering, 249-252:116-150, 2012. [.pdf]
  3. H.A.F.A. Santos, J.A. Evans, and T.J.R. Hughes, "Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence." Computer Methods in Applied Mechanics and Engineering, 209-212:2547-2561, 2012. [.pdf]

Refereed Journal Articles - 2011

  1. F. Brezzi, J.A. Evans, T.J.R. Hughes, and L.D. Marini, "New rectangular plate elements based on twist-Kirchhoff theory." Computer Methods in Applied Mechanics and Engineering, 200:2547-2561, 2011. [.pdf]
  2. M.J. Borden, M.A. Scott, J.A. Evans, and T.J.R. Hughes, "Isogeometric finite element data structures based on Bézier extraction of NURBS." International Journal for Numerical Methods in Engineering, 87:15-47, 2011. [.pdf]

Refereed Journal Articles - 2010

  1. C. Michoski, J.A. Evans, P.G. Schmitz, and A. Vasseur, "A discontinuous Galerkin method for viscous compressible multifluids." Journal of Computational Physics, 229:2249-2266, 2010. [.pdf]
  2. S. Lipton, J.A. Evans, Y. Bazilevs, T. Elguedj, and T.J.R. Hughes, "Robustness of isogeometric structural discretizations under severe mesh distortion." Computer Methods in Applied Mechanics and Engineering, 199:357-373, 2010. [.pdf]
  3. Y. Bazilevs, V.M. Calo, J.A. Cottrell, J.A. Evans, T.J.R. Hughes, S. Lipton, M.A. Scott, and T.W. Sederberg, "Isogeometric analysis using T-splines." Computer Methods in Applied Mechanics and Engineering, 199:229-263, 2010. [.pdf]

Refereed Journal Articles - 2009

  1. J.A. Evans, T.J.R. Hughes, and G. Sangalli, "Enforcement of maximum principles and constraints in the variational multiscale method." Computer Methods in Applied Mechanics and Engineering, 199:61-76, 2009. [.pdf]
  2. C. Michoski, J.A. Evans, P.G. Schmitz, and A. Vasseur, "Quantum hydrodynamics with trajectories: The nonlinear conservation form mixed/discontinuous Galerkin method with applications in chemistry." Journal of Computational Physics, 228:8589-8608, 2009. [.pdf]
  3. J.A. Evans, Y. Bazilevs, I. Babuska, and T.J.R. Hughes, "n-widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method." Computer Methods in Applied Mechanics and Engineering, 198:1726-1741, 2009. [.pdf]

Book Chapters

  1. J.A Evans, C. Coley, R.M. Aronson, C.L. Wetterer-Nelson, and Y. Bazilevs, "Residual-based large eddy simulation with isogeometric divergence-conforming discretizations," in T. Tezduyar T. (Editor), "Frontiers in Computational Fluid-Structure Interaction and Flow Simulation: Research from Lead Investigators under 40," Birkhäuser/Springer, Cham, Chapter 3, 91-130, 2018. [.pdf]
  2. J.A. Evans and T.J.R. Hughes, “Isogeometric compatible discretizations for viscous incompressible flow,” in A. Buffa, G. Sangalli (Editors), “Isogeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs”, Volume 2161 of the Series "Lecture Notes in Mathematics”, Springer International Publishing, Switzerland, Chapter 4, 155-193, 2016. [.pdf]
  3. Y. Bazilevs, V.M. Calo, J.A. Cottrell, J.A. Evans, S. Lipton, M.A. Scott, and T.W. Sederberg, "Isogeometric analysis: Toward unification of CAD and FEA," in M. Papadrakakis, B.H.V. Topping (Editors), "Trends in Engineering Computational Technology," Saxe-Coburg Publications, Stirlingshire, UK, Chapter 1, 1-16, 2008. [.pdf]

Conference Proceedings

  1. J.A. Evans, K. Maute, C. Messe, L. Noel, and F. de Prenter, ``Adaptive topology optimization with hierarchical B-splines.'' Oberwolfach Reports, Report No. 33/2019, Pg. 13-15, 2019.
  2. J.A. Evans, B. Juttler, and G. Sangalli, ``Isogeometric splines: Theory and applications.'' BIRS Reports, Report No. 19w5196, 2019.
  3. L. Engvall and J.A. Evans, "Element quality metrics for higher-order Bernstein-Bezier elements." Proceedings of the 27th International Meshing Roundtable, Albuquerque, NM, 2018. [.pdf]
  4. R.W. Skinner, A. Doostan, E.L. Peters, J.A. Evans, and K.E. Jansen, "An evaluation of bi-fidelity modeling efficiency on a general family of NACA airfoils." Proceedings of the 35th Applied Aerodynamics Conference, Denver, CO, 2017. [.pdf]
  5. L. Engvall and J.A. Evans, “Towards geometrically exact higher-order unstructured mesh generation.” Proceedings of the 25th International Meshing Roundtable, Washington DC, 2016. [.pdf]
  6. J.A. Evans, I. Babuska, Y. Bazilevs, J. Benzaken, J. Chan, and T.J.R. Hughes, "Optimality and approximation: A quantitative assessment of the approximation properties of spline, polynomial, and Fourier bases." Oberwolfach Reports, Report No. 8/2016, Pg. 352-354, 2016. [.pdf]
  7. D. Schillinger, L. Dede, M.A. Scott, J.A. Evans, M.J. Borden, E. Rank, and T.J.R. Hughes, "Isogeometric analysis and the finite cell method." Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Vienna, Austria, 2012. [.pdf]
  8. T.J.R. Hughes and J.A. Evans, "Isogeometric analysis." Proceedings of the International Congress of Mathematicians, Volume 1, Hyderabad, India, 2010. [.pdf]
  9. J.A. Evans, K.E. Jansen, M.S. Shepherd, and A.C. Bauer, "A multiscale stabilization of the streamfunction form of the steady state Navier-Stokes equations." Journal of Physics: Conference Series, 46:463-467, 2006. [.pdf]
  10. M. Oghbaei, K.S. Anderson, and J.A. Evans, "A state-time formulation for multibody systems dynamics simulation, part II: Parallel implementation." Proceedings of the 2005 ASME International Design Engineering Technical Conference and Computers and Information in Engineering Conference. [.pdf]
  11. J.A. Evans, M. Oghbaei, and K.S. Anderson, "Modeling and simulation of a laser-powered lightcraft using advanced simulation tools." Proceedings of the 2005 ASME International Design Engineering Technical Conference and Computers and Information in Engineering Conference. [.pdf]
  12. J.A. Evans, M. Oghbaei, and K.S. Anderson, "Incorporation of aerodynamic considerations in the dynamic simulation of a Type-200 lightcraft." Proceedings of the 2005 International Conference on Advances in Computational Multibody Dynamics.

Technical Reports

  1. J.A. Evans and T.J.R. Hughes, "Variational multiscale analysis: A new link between flux correction, total variation, and constrained optimization." ICES Report 2010-35, The University of Texas at Austin, 2010. [.pdf]
  2. J.A. Evans, M. Oghbaei, and K.S. Anderson, "Modeling and simulation of a laser-powered lightcraft using impulse state-time equations." SCOREC Report 2006-27, Rensselaer Polytechnic Institute, 2006. [.pdf]