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List of Publications


  • N. Chalmers and L. Krivodonova. Spatial and Modal Superconvergence of the Discontinuous Galerkin Method for Linear Equations , submitted.

  • M. Fuhry, A. Giuliani and L. Krivodonova. Discontinuous Galerkin Methods on Graphics Processing Units for Nonlinear Hyperbolic Conservation Laws , to appear in International Journal for Numerical Methods in Fluids .

  • N. Chalmers, L. Krivodonova, and R. Qin. Relaxing the CFL condition of the discontinuous Galerkin method , to appear in SISC.

  • J. Resch, L. Krivodonova and J. Vanderkooy. A Two-Dimensional Study of Finite Amplitude Sound Waves in a Trumpet Using the Discontinuous Galerkin Method, Journal of Computational Accoustics, Vol. 22(3), 2014.

  • D. Connor and L. Krivodonova. Interpolation of two-dimensional curves with Euler spirals, Journal of Applied and Computational Mathematics, Vol 261: 320-332, 2014.

  • L. Krivodonova and R. Qin. An analysis of the spectrum of the discontinuous Galerkin method II: Nonuniform grids , Applied Numerical Mathematics, Vol 71: 41-62, 2013.

  • L. Krivodonova and R. Qin. An analysis of the spectrum of the discontinuous Galerkin method, Applied Numerical Mathematics, Vol. 64:1-18, 2013.

  • R. Qin and L. Krivodonova. A discontinuous Galerkin method for solutions of the Euler equations on Cartesian grids with embedded geometries , Journal of Computational Science, Vol. 4 (1-2), 24-35, 2013.

  • L. Krivodonova. An Efficient Local Time Stepping Scheme for Solution of Nonlinear Conservation Laws. J. of Comp. Physics, Vol. 229:8537-8551, 2010.

  • L. Krivodonova. Limiters for High-Order Discontinuous Galerkin Methods. J. of Comp. Physics, Vol. 226(1):276-296,2007.

  • L. Krivodonova and M. Berger. High-order Accurate Implementation of Solid Wall Boundary Conditions in Curved Geometries. J. of Comp. Physics, Vol. 211:492-512, 2006.

  • L. Krivodonova, J. Xin, J.-F. Remacle, N. Chevaugeon, and J.E. Flaherty. Shock Detection and Limiting with Discontinuous Galerkin Methods for Hyperbolic Conservation Laws. Applied Numerical Mathematics, Vol. 48:323-338, 2004.

  • L. Krivodonova and J. Flaherty. Error Estimation for Discontinuous Galerkin Solutions of Multidimensional Hyperbolic Problems. Advances in Computational Mathematics, Vol. 19:57-71, 2003.

  • J. Flaherty, L. Krivodonova, J.-F. Remacle, and M. Shephard. Aspects of Discontinuous Galerkin Methods for Hyperbolic Conservation Laws. Finite Elements in Analysis and Design, Vol. 38:889 - 908, 2002.

  • S. Adjerid, K. Devine, J. Flaherty, and L. Krivodonova. A Posteriori Error Estimation for Discontinuous Galerkin Solutions of Hyperbolic Problems. Computer Methods in Applied Mechanics and Engineering, Vol. 191:1097-1112, 2002.