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Lilia Krivodonova
Lilia Krivodonova
Professor of Applied Mathematics, University of Waterloo
Verified email at uwaterloo.ca
Title
Cited by
Cited by
Year
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws
L Krivodonova, J Xin, JF Remacle, N Chevaugeon, JE Flaherty
Applied Numerical Mathematics 48 (3-4), 323-338, 2004
5082004
Limiters for high-order discontinuous Galerkin methods
L Krivodonova
Journal of Computational Physics 226 (1), 879-896, 2007
3772007
A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
S Adjerid, KD Devine, JE Flaherty, L Krivodonova
Computer methods in applied mechanics and engineering 191 (11-12), 1097-1112, 2002
2772002
High-order accurate implementation of solid wall boundary conditions in curved geometries
L Krivodonova, M Berger
Journal of computational physics 211 (2), 492-512, 2006
2462006
Aspects of discontinuous Galerkin methods for hyperbolic conservation laws
JE Flaherty, L Krivodonova, JF Remacle, MS Shephard
Finite Elements in Analysis and Design 38 (10), 889-908, 2002
962002
Error estimation for discontinuous Galerkin solutions of two-dimensional hyperbolic problems
L Krivodonova, JE Flaherty
Advances in Computational Mathematics 19, 57-71, 2003
652003
An efficient local time-stepping scheme for solution of nonlinear conservation laws
L Krivodonova
Journal of Computational Physics 229 (22), 8537-8551, 2010
622010
Discontinuous galerkin methods on graphics processing units for nonlinear hyperbolic conservation laws
M Fuhry, A Giuliani, L Krivodonova
International Journal for Numerical Methods in Fluids 76 (12), 982-1003, 2014
512014
An analysis of the spectrum of the discontinuous Galerkin method
L Krivodonova, R Qin
Applied Numerical Mathematics 64, 1-18, 2013
492013
A discontinuous Galerkin method for solutions of the Euler equations on Cartesian grids with embedded geometries
R Qin, L Krivodonova
Journal of Computational Science 4 (1-2), 24-35, 2013
372013
A robust CFL condition for the discontinuous Galerkin method on triangular meshes
N Chalmers, L Krivodonova
Journal of Computational Physics 403, 109095, 2020
252020
Analysis of slope limiters on unstructured triangular meshes
A Giuliani, L Krivodonova
Journal of Computational Physics 374, 1-26, 2018
202018
Relaxing the CFL number of the discontinuous Galerkin method
N Chalmers, L Krivodonova, R Qin
SIAM Journal on Scientific Computing 36 (4), A2047-A2075, 2014
182014
Face coloring in unstructured CFD codes
A Giuliani, L Krivodonova
Parallel Computing 63, 17-37, 2017
15*2017
Adaptive mesh refinement on graphics processing units for applications in gas dynamics
A Giuliani, L Krivodonova
Journal of Computational Physics 381, 67-90, 2019
142019
A moment limiter for the discontinuous Galerkin method on unstructured triangular meshes
A Giuliani, L Krivodonova
SIAM Journal on Scientific Computing 41 (1), A508-A537, 2019
132019
A two-dimensional study of finite amplitude sound waves in a trumpet using the discontinuous Galerkin method
J Resch, L Krivodonova, J Vanderkooy
Journal of Computational Acoustics 22 (03), 1450007, 2014
122014
Interpolation of two-dimensional curves with Euler spirals
D Connor, L Krivodonova
Journal of computational and applied mathematics 261, 320-332, 2014
112014
A moment limiter for the discontinuous Galerkin method on unstructured tetrahedral meshes
A Giuliani, L Krivodonova
Journal of Computational Physics 404, 109106, 2020
102020
An analysis of the spectrum of the discontinuous Galerkin method II: Nonuniform grids
L Krivodonova, R Qin
Applied Numerical Mathematics 71, 41-62, 2013
92013
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