On the divergence constraint in mixed finite element methods for incompressible flows V John, A Linke, C Merdon, M Neilan, LG Rebholz SIAM review 59 (3), 492-544, 2017 | 442 | 2017 |
Approximate deconvolution models of turbulence: analysis, phenomenology and numerical analysis WJ Layton, LG Rebholz Springer Science & Business Media, 2012 | 171 | 2012 |
A connection between Scott–Vogelius and grad-div stabilized Taylor–Hood FE approximations of the Navier–Stokes equations MA Case, VJ Ervin, A Linke, LG Rebholz SIAM Journal on Numerical Analysis 49 (4), 1461-1481, 2011 | 170 | 2011 |
Data-driven filtered reduced order modeling of fluid flows X Xie, M Mohebujjaman, LG Rebholz, T Iliescu SIAM Journal on Scientific Computing 40 (3), B834-B857, 2018 | 154 | 2018 |
On conservation laws of Navier–Stokes Galerkin discretizations S Charnyi, T Heister, MA Olshanskii, LG Rebholz Journal of Computational Physics 337, 289-308, 2017 | 150 | 2017 |
On the parameter choice in grad-div stabilization for the Stokes equations EW Jenkins, V John, A Linke, LG Rebholz Advances in Computational Mathematics 40, 491-516, 2014 | 144* | 2014 |
On the accuracy of the rotation form in simulations of the Navier–Stokes equations W Layton, CC Manica, M Neda, M Olshanskii, LG Rebholz Journal of Computational Physics 228 (9), 3433-3447, 2009 | 133 | 2009 |
Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence W Layton, CC Manica, M Neda, LG Rebholz Numerical Methods for Partial Differential Equations: An International …, 2008 | 122 | 2008 |
A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically) C Evans, S Pollock, LG Rebholz, M Xiao SIAM Journal on Numerical Analysis 58 (1), 788-810, 2020 | 116 | 2020 |
Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection KJ Galvin, A Linke, LG Rebholz, NE Wilson Computer Methods in Applied Mechanics and Engineering 237, 166-176, 2012 | 106 | 2012 |
The stabilized extrapolated trapezoidal finite-element method for the Navier–Stokes equations A Labovsky, WJ Layton, CC Manica, M Neda, LG Rebholz Computer Methods in Applied Mechanics and Engineering 198 (9-12), 958-974, 2009 | 97 | 2009 |
Physically constrained data‐driven correction for reduced‐order modeling of fluid flows M Mohebujjaman, LG Rebholz, T Iliescu International Journal for Numerical Methods in Fluids 89 (3), 103-122, 2019 | 90 | 2019 |
Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations W Layton, CC Manica, M Neda, LG Rebholz Computer Methods in Applied Mechanics and Engineering 199 (13-16), 916-931, 2010 | 81 | 2010 |
Anderson acceleration for contractive and noncontractive operators S Pollock, LG Rebholz IMA Journal of Numerical Analysis 41 (4), 2841-2872, 2021 | 69 | 2021 |
Data-driven variational multiscale reduced order models C Mou, B Koc, O San, LG Rebholz, T Iliescu Computer Methods in Applied Mechanics and Engineering 373, 113470, 2021 | 63 | 2021 |
Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations A Larios, LG Rebholz, C Zerfas Computer Methods in Applied Mechanics and Engineering 345, 1077-1093, 2019 | 62 | 2019 |
Anderson-accelerated convergence of Picard iterations for incompressible Navier--Stokes equations S Pollock, LG Rebholz, M Xiao SIAM Journal on Numerical Analysis 57 (2), 615-637, 2019 | 61 | 2019 |
Conservation laws of turbulence models LG Rebholz Journal of Mathematical Analysis and Applications 326 (1), 33-45, 2007 | 61 | 2007 |
Velocity–vorticity–helicity formulation and a solver for the Navier–Stokes equations MA Olshanskii, LG Rebholz Journal of Computational Physics 229 (11), 4291-4303, 2010 | 60 | 2010 |
Energy balance and mass conservation in reduced order models of fluid flows M Mohebujjaman, LG Rebholz, X Xie, T Iliescu Journal of Computational Physics 346, 262-277, 2017 | 58 | 2017 |