Preprints

  1. J.A. Evans, D. Kamensky, and Y. Bazilevs, "Variational multiscale modeling with discretely divergence-free subscales." Submitted for publication. [.pdf]
  2. J. Benzaken, J.A. Evans, S. McCormick, and R. Tamstorf, "Nitsche's method for variational constrained minimization problems with application to membranes, plates, and shells." Submitted for publication.
  3. L. Noel, M. Schmidt, C. Messe, J.A. Evans, and K. Maute, "Adaptive level set topology optimization using hierarchical B-splines." Submitted for publication. [.pdf]
  4. J. Benzaken, A. Doostan, and J.A. Evans, "Physics-informed tolerance allocation: A surrogate-based framework for the control of geometric variation on system performance." Submitted for publication. [.pdf]
  5. L. Engvall and J.A. Evans, "Mesh quality metrics for isogeometric Bernstein-Bezier discretizations." Submitted for publication. [.pdf]

Refereed Journal Articles - In Press

  1. 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." Computational Mechanics, accepted for publication. [.pdf]
  2. 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]