# zbMATH — the first resource for mathematics

## Krivodonova, Lilia

Compute Distance To:
 Author ID: krivodonova.lilia Published as: Krivodonova, L.; Krivodonova, Lilia
 Documents Indexed: 22 Publications since 2002
all top 5

#### Co-Authors

 2 single-authored 7 Giuliani, Andrew 4 Flaherty, Joseph E. 3 Chalmers, Noel 3 Qin, Ruibin 3 Resch, Janelle 3 Vanderkooy, John 2 Remacle, Jean-François 1 Adjerid, Slimane 1 Berger, Marsha J. 1 Chevaugeon, Nicolas 1 Connor, Dale 1 Devine, Karen D. 1 Shephard, Mark S. 1 Xin, Jianguo
all top 5

#### Serials

 7 Journal of Computational Physics 4 Applied Numerical Mathematics 2 SIAM Journal on Scientific Computing 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational and Applied Mathematics 1 Finite Elements in Analysis and Design 1 Journal of Scientific Computing 1 Advances in Computational Mathematics 1 Journal of Computational Acoustics

#### Fields

 20 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

16 Publications have been cited 458 times in 356 Documents Cited by Year
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1038.65096
Krivodonova, L.; Xin, J.; Remacle, J.-F.; Chevaugeon, N.; Flaherty, J. E.
2004
A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems. Zbl 0998.65098
Adjerid, Slimane; Devine, Karen D.; Flaherty, Joseph E.; Krivodonova, Lilia
2002
Limiters for high-order discontinuous Galerkin methods. Zbl 1125.65091
Krivodonova, Lilia
2007
High-order accurate implementation of solid wall boundary conditions in curved geometries. Zbl 1138.76403
Krivodonova, Lilia; Berger, Marsha
2006
Error estimation for discontinuous Galerkin solutions of two-dimensional hyperbolic problems. Zbl 1020.65062
Krivodonova, Lilia; Flaherty, Joseph E.
2003
Aspects of discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 0996.65106
Flaherty, Joseph E.; Krivodonova, Lilia; Remacle, Jean-Francois; Shephard, Mark S.
2002
An efficient local time-stepping scheme for solution of nonlinear conservation laws. Zbl 1201.65171
Krivodonova, Lilia
2010
An analysis of the spectrum of the discontinuous Galerkin method. Zbl 1255.65166
Krivodonova, Lilia; Qin, Ruibin
2013
An analysis of the spectrum of the discontinuous Galerkin method. II: Nonuniform grids. Zbl 1282.65119
Krivodonova, Lilia; Qin, Ruibin
2013
Analysis of slope limiters on unstructured triangular meshes. Zbl 1416.65350
Giuliani, Andrew; Krivodonova, Lilia
2018
Spatial and modal superconvergence of the discontinuous Galerkin method for linear equations. Zbl 1372.65270
Chalmers, N.; Krivodonova, L.
2017
A moment limiter for the discontinuous Galerkin method on unstructured triangular meshes. Zbl 1414.65020
Giuliani, Andrew; Krivodonova, Lilia
2019
A two-dimensional study of finite amplitude sound waves in a trumpet using the discontinuous Galerkin method. Zbl 1360.76153
Resch, Janelle; Krivodonova, Lilia; Vanderkooy, John
2014
Relaxing the CFL number of the discontinuous Galerkin method. Zbl 1310.65123
Chalmers, N.; Krivodonova, L.; Qin, R.
2014
On the optimal CFL number of SSP methods for hyperbolic problems. Zbl 1406.65079
Giuliani, Andrew; Krivodonova, Lilia
2019
Interpolation of two-dimensional curves with Euler spirals. Zbl 1278.65013
Connor, Dale; Krivodonova, Lilia
2014
A moment limiter for the discontinuous Galerkin method on unstructured triangular meshes. Zbl 1414.65020
Giuliani, Andrew; Krivodonova, Lilia
2019
On the optimal CFL number of SSP methods for hyperbolic problems. Zbl 1406.65079
Giuliani, Andrew; Krivodonova, Lilia
2019
Analysis of slope limiters on unstructured triangular meshes. Zbl 1416.65350
Giuliani, Andrew; Krivodonova, Lilia
2018
Spatial and modal superconvergence of the discontinuous Galerkin method for linear equations. Zbl 1372.65270
Chalmers, N.; Krivodonova, L.
2017
A two-dimensional study of finite amplitude sound waves in a trumpet using the discontinuous Galerkin method. Zbl 1360.76153
Resch, Janelle; Krivodonova, Lilia; Vanderkooy, John
2014
Relaxing the CFL number of the discontinuous Galerkin method. Zbl 1310.65123
Chalmers, N.; Krivodonova, L.; Qin, R.
2014
Interpolation of two-dimensional curves with Euler spirals. Zbl 1278.65013
Connor, Dale; Krivodonova, Lilia
2014
An analysis of the spectrum of the discontinuous Galerkin method. Zbl 1255.65166
Krivodonova, Lilia; Qin, Ruibin
2013
An analysis of the spectrum of the discontinuous Galerkin method. II: Nonuniform grids. Zbl 1282.65119
Krivodonova, Lilia; Qin, Ruibin
2013
An efficient local time-stepping scheme for solution of nonlinear conservation laws. Zbl 1201.65171
Krivodonova, Lilia
2010
Limiters for high-order discontinuous Galerkin methods. Zbl 1125.65091
Krivodonova, Lilia
2007
High-order accurate implementation of solid wall boundary conditions in curved geometries. Zbl 1138.76403
Krivodonova, Lilia; Berger, Marsha
2006
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1038.65096
Krivodonova, L.; Xin, J.; Remacle, J.-F.; Chevaugeon, N.; Flaherty, J. E.
2004
Error estimation for discontinuous Galerkin solutions of two-dimensional hyperbolic problems. Zbl 1020.65062
Krivodonova, Lilia; Flaherty, Joseph E.
2003
A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems. Zbl 0998.65098
Adjerid, Slimane; Devine, Karen D.; Flaherty, Joseph E.; Krivodonova, Lilia
2002
Aspects of discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 0996.65106
Flaherty, Joseph E.; Krivodonova, Lilia; Remacle, Jean-Francois; Shephard, Mark S.
2002
all top 5

#### Cited by 578 Authors

 24 Baccouch, Mahboub 19 Adjerid, Slimane 17 Qiu, Jianxian 15 Shu, Chi-Wang 14 Krivodonova, Lilia 9 Dumbser, Michael 8 Remacle, Jean-François 7 Kesserwani, Georges 6 Chan, Jesse 6 Kuzmin, Dmitri 6 Temimi, Helmi 6 Zhu, Jun 5 Bokhove, Onno 5 Chevaugeon, Nicolas 5 Giuliani, Andrew 5 Liang, Qiuhua 5 Liu, Tiegang 5 Ren, Yuxin 5 Sevilla, Ruben 5 Yan, Chao 4 Cheng, Yingda 4 Dolejší, Vít 4 Don, Wai Sun 4 Ekaterinaris, John A. 4 Feistauer, Miloslav 4 Flaherty, Joseph E. 4 Huerta, Antonio 4 Ihme, Matthias 4 Kim, Chongam 4 Li, Wanai 4 Lv, Yu 4 Yu, Jian 4 Zanotti, Olindo 4 Zhu, Hongqiang 3 Asthana, Kartikey 3 Bassi, Francesco 3 Bernard, Paul-Emile 3 Billet, Germain 3 Deng, Xiaogang 3 Fidkowski, Krzysztof J. 3 Gao, Zhen 3 Jameson, Antony 3 Jiang, Zhenhua 3 Legat, Vincent 3 Li, Gang 3 Loubère, Raphaël 3 Müller, Siegfried 3 Nishikawa, Hiroaki 3 Nogueira, Xesús 3 Panourgias, Konstantinos T. 3 Park, Jinseok 3 Qiu, Jingmei 3 Ryan, Jennifer K. 3 Ryan, Juliette 3 Tang, Huazhong 3 Wang, Zizhong John 3 Weinhart, Thomas 3 Wu, Kailiang 3 Xin, Jianguo 3 Xu, Kun 3 Zhang, Mengping 3 Zhong, Xinghui 2 Abbassi, Hesam 2 Abgrall, Rémi 2 Ambati, Vijaya R. 2 Berger, Marsha J. 2 Bochev, Pavel B. 2 Botti, Lorenzo 2 Cao, Waixiang 2 Castillo, Paul E. 2 Chalmers, Noel 2 Chassaing, Jean-Camille 2 Christlieb, Andrew J. 2 Colombo, Alessandro G. 2 Dawson, Clint N. 2 Di Pietro, Daniele Antonio 2 Dong, Yidao 2 Duran, Arnaud 2 Ern, Alexandre 2 Fernández-Méndez, Sonia 2 Frank, Florian 2 Gao, Xiang 2 Gerhard, Nils 2 Giraldo, Francis X. 2 Glaubitz, Jan 2 Grote, Marcus J. 2 Hajduk, Hennes 2 Hesthaven, Jan S. 2 Hidalgo, Arturo 2 Hillewaert, Koen 2 Hoang, Thi-Thao-Phuong 2 Hochbruck, Marlis 2 Jacobs, Gustaaf B. 2 Ju, Lili 2 Kawai, Soshi 2 Khelladi, Sofiane 2 Khoo, Boo Cheong 2 Kontzialis, Konstantinos 2 Leng, Wei 2 Li, Dongfang ...and 478 more Authors
all top 5

#### Cited in 45 Serials

 107 Journal of Computational Physics 42 Journal of Scientific Computing 37 Computer Methods in Applied Mechanics and Engineering 31 Computers and Fluids 24 Applied Numerical Mathematics 12 Journal of Computational and Applied Mathematics 11 SIAM Journal on Scientific Computing 9 Computers & Mathematics with Applications 9 International Journal for Numerical Methods in Fluids 7 Mathematics of Computation 7 Applied Mathematics and Computation 5 Applied Mathematical Modelling 4 International Journal for Numerical Methods in Engineering 4 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 2 Mathematics and Computers in Simulation 2 Applied Mathematics Letters 2 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Acta Mechanica Sinica 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Journal of Fluid Mechanics 1 BIT 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Applied Mathematics and Mechanics. (English Edition) 1 Computational Mechanics 1 COMPEL 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Computational Optimization and Applications 1 Mathematical Problems in Engineering 1 Journal of Vibration and Control 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Computational Geosciences 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Central European Journal of Mathematics 1 International Journal of Computational Methods 1 Journal of Computational Acoustics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GEM - International Journal on Geomathematics 1 Communications on Applied Mathematics and Computation
all top 5

#### Cited in 20 Fields

 302 Numerical analysis (65-XX) 187 Fluid mechanics (76-XX) 125 Partial differential equations (35-XX) 12 Mechanics of deformable solids (74-XX) 9 Geophysics (86-XX) 8 Ordinary differential equations (34-XX) 8 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)