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Lilia Krivodonova
Lilia Krivodonova
Professor of Applied Mathematics, University of Waterloo
Adresse e-mail validée de uwaterloo.ca
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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
5102004
Limiters for high-order discontinuous Galerkin methods
L Krivodonova
Journal of Computational Physics 226 (1), 879-896, 2007
3792007
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
2782002
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
2482006
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
392013
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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