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Energy analysis and improved regularity estimates for multiscale deconvolution models of incompressible flows
Tae‐Yeon Kim, Argus A. Dunca, Leo G. Rebholz and Eliot Fried Mathematical Methods in the Applied Sciences 38(17) 4199 (2015) https://doi.org/10.1002/mma.3358
The reduced order NS-αmodel for incompressible flow: theory, numerical analysis and benchmark testing
Victoria M. Cuff, Argus A. Dunca, Carolina C. Manica and Leo G. Rebholz ESAIM: Mathematical Modelling and Numerical Analysis 49(3) 641 (2015) https://doi.org/10.1051/m2an/2014053
Numerical study of a regularized barotropic vorticity model of geophysical flow
Igor O. Monteiro, Carolina C. Manica and Leo G. Rebholz Numerical Methods for Partial Differential Equations 31(5) 1492 (2015) https://doi.org/10.1002/num.21956
On the parameter choice in grad-div stabilization for the Stokes equations
Eleanor W. Jenkins, Volker John, Alexander Linke and Leo G. Rebholz Advances in Computational Mathematics 40(2) 491 (2014) https://doi.org/10.1007/s10444-013-9316-1
Error analysis and iterative solvers for Navier–Stokes projection methods with standard and sparse grad-div stabilization
The Leray-αβ-deconvolution model: Energy analysis and numerical algorithms
Abigail L. Bowers, Tae-Yeon Kim, Monika Neda, Leo G. Rebholz and Eliot Fried Applied Mathematical Modelling 37(3) 1225 (2013) https://doi.org/10.1016/j.apm.2012.03.040
A-priori testing of alpha regularisation models as subgrid-scale closures for large-eddy simulations
Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
Keith J. Galvin, Alexander Linke, Leo G. Rebholz and Nicholas E. Wilson Computer Methods in Applied Mechanics and Engineering 237-240 166 (2012) https://doi.org/10.1016/j.cma.2012.05.008
A deconvolution enhancement of the Navier–Stokes-αβ model
Tae-Yeon Kim, Monika Neda, Leo G. Rebholz and Eliot Fried Computer Methods in Applied Mechanics and Engineering 200(41-44) 2891 (2011) https://doi.org/10.1016/j.cma.2011.05.011