Entropy viscosity method for nonlinear conservation laws JL Guermond, R Pasquetti, B Popov Journal of Computational Physics 230 (11), 4248-4267, 2011 | 433 | 2011 |
Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws A Kurganov, G Petrova, B Popov SIAM Journal on Scientific Computing 29 (6), 2381-2401, 2007 | 157 | 2007 |
Invariant domains and first-order continuous finite element approximation for hyperbolic systems JL Guermond, B Popov SIAM Journal on Numerical Analysis 54 (4), 2466-2489, 2016 | 137 | 2016 |
Viscous regularization of the Euler equations and entropy principles JL Guermond, B Popov SIAM Journal on Applied Mathematics 74 (2), 284-305, 2014 | 125 | 2014 |
Second-order invariant domain preserving approximation of the Euler equations using convex limiting JL Guermond, M Nazarov, B Popov, I Tomas SIAM Journal on Scientific Computing 40 (5), A3211-A3239, 2018 | 124 | 2018 |
A second-order maximum principle preserving Lagrange finite element technique for nonlinear scalar conservation equations JL Guermond, M Nazarov, B Popov, Y Yang SIAM Journal on Numerical Analysis 52 (4), 2163-2182, 2014 | 96 | 2014 |
Implementation of the entropy viscosity method with the discontinuous Galerkin method V Zingan, JL Guermond, J Morel, B Popov Computer Methods in Applied Mechanics and Engineering 253, 479-490, 2013 | 93 | 2013 |
Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems JL Guermond, B Popov, I Tomas Computer Methods in Applied Mechanics and Engineering 347, 143-175, 2019 | 86 | 2019 |
New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws I Christov, B Popov Journal of Computational Physics 227 (11), 5736-5757, 2008 | 83 | 2008 |
Linear transport equations with discontinuous coefficients G Petrova, B Popov Communications in partial differential equations 24 (9-10), 1849-1873, 1999 | 77 | 1999 |
Linear transport equations with discontinuous coefficients G Petrova, B Popov Communications in partial differential equations 24 (9-10), 1849-1873, 1999 | 77 | 1999 |
Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations JL Guermond, B Popov Journal of Computational Physics 321, 908-926, 2016 | 65 | 2016 |
Invariant domains and second-order continuous finite element approximation for scalar conservation equations JL Guermond, B Popov SIAM Journal on Numerical Analysis 55 (6), 3120-3146, 2017 | 57 | 2017 |
The limit case of Bernstein’s operators with Jacobi-weights PE Parvanov, BD Popov Math. Balkanica 8 (2-3), 165-177, 1994 | 57 | 1994 |
From suitable weak solutions to entropy viscosity JL Guermond, R Pasquetti, B Popov Quality and Reliability of Large-Eddy Simulations II, 373-390, 2011 | 51 | 2011 |
Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations JL Guermond, M Maier, B Popov, I Tomas Computer Methods in Applied Mechanics and Engineering 375, 113608, 2021 | 42 | 2021 |
Entropy–viscosity method for the single material Euler equations in Lagrangian frame JL Guermond, B Popov, V Tomov Computer Methods in Applied Mechanics and Engineering 300, 402-426, 2016 | 40 | 2016 |
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations A Bonito, JL Guermond, B Popov Mathematics of Computation 83 (287), 1039-1062, 2014 | 35 | 2014 |
Well-balanced second-order approximation of the shallow water equation with continuous finite elements P Azerad, JL Guermond, B Popov SIAM Journal on Numerical Analysis 55 (6), 3203-3224, 2017 | 33 | 2017 |
Well-balanced second-order finite element approximation of the shallow water equations with friction JL Guermond, MQ de Luna, B Popov, CE Kees, MW Farthing SIAM Journal on Scientific Computing 40 (6), A3873-A3901, 2018 | 32 | 2018 |