Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations DCDR Fernández, JE Hicken, DW Zingg Computers & Fluids 95, 171-196, 2014 | 388 | 2014 |
A generalized framework for nodal first derivative summation-by-parts operators DCDR Fernández, PD Boom, DW Zingg Journal of Computational Physics 266, 214-239, 2014 | 169 | 2014 |
Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements J Crean, JE Hicken, DCDR Fernández, DW Zingg, MH Carpenter Journal of Computational Physics 356, 410-438, 2018 | 125 | 2018 |
Multidimensional summation-by-parts operators: general theory and application to simplex elements JE Hicken, DC Del Rey Fernández, DW Zingg SIAM Journal on Scientific Computing 38 (4), A1935-A1958, 2016 | 123 | 2016 |
Entropy stable space–time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws L Friedrich, G Schnücke, AR Winters, DCDR Fernández, GJ Gassner, ... Journal of Scientific Computing 80, 175-222, 2019 | 81 | 2019 |
Efficient entropy stable Gauss collocation methods J Chan, DC Del Rey Fernández, MH Carpenter SIAM Journal on Scientific Computing 41 (5), A2938-A2966, 2019 | 80 | 2019 |
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property L Friedrich, AR Winters, DC Del Rey Fernández, GJ Gassner, M Parsani, ... Journal of Scientific Computing 77, 689-725, 2018 | 64 | 2018 |
Simultaneous approximation terms for multi-dimensional summation-by-parts operators DC Del Rey Fernández, JE Hicken, DW Zingg Journal of Scientific Computing 75, 83-110, 2018 | 60 | 2018 |
Conservative and entropy stable solid wall boundary conditions for the compressible Navier–Stokes equations: Adiabatic wall and heat entropy transfer L Dalcin, D Rojas, S Zampini, DCDR Fernández, MH Carpenter, ... Journal of Computational Physics 397, 108775, 2019 | 44 | 2019 |
High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable SSDC algorithms and … M Parsani, R Boukharfane, IR Nolasco, DCDR Fernández, S Zampini, ... Journal of Computational Physics 424, 109844, 2021 | 39 | 2021 |
Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates DCDR Fernández, J Crean, MH Carpenter, JE Hicken Journal of Computational Physics 392, 161-186, 2019 | 34 | 2019 |
Freehand versus guided breast biopsy: comparison of accuracy, needle motion, and biopsy time in a tissue model N Bluvol, A Kornecki, A Shaikh, D Del Rey Fernandez, DH Taves, ... American Journal of Roentgenology 192 (6), 1720-1725, 2009 | 34 | 2009 |
Entropy stable h/p-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier–Stokes equations DCDR Fernández, MH Carpenter, L Dalcin, S Zampini, M Parsani SN Partial Differential Equations and Applications 1 (2), 9, 2020 | 32 | 2020 |
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods D Rojas, R Boukharfane, L Dalcin, DCDR Fernández, H Ranocha, ... Journal of Computational Physics 426, 109891, 2021 | 31 | 2021 |
Extension of tensor-product generalized and dense-norm summation-by-parts operators to curvilinear coordinates DC Del Rey Fernández, PD Boom, MH Carpenter, DW Zingg Journal of Scientific Computing 80 (3), 1957-1996, 2019 | 30 | 2019 |
SBP–SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids L Gao, DCDR Fernández, M Carpenter, D Keyes Journal of Computational and Applied Mathematics 348, 421-444, 2019 | 28 | 2019 |
A needle guidance system for biopsy and therapy using two‐dimensional ultrasound N Bluvol, A Shaikh, A Kornecki, D Del Rey Fernandez, D Downey, ... Medical physics 35 (2), 617-628, 2008 | 25 | 2008 |
Entropy-stable p-nonconforming discretizations with the summation-by-parts property for the compressible Navier–Stokes equations DCDR Fernández, MH Carpenter, L Dalcin, L Fredrich, AR Winters, ... Computers & Fluids 210, 104631, 2020 | 23* | 2020 |
Generalized summation-by-parts operators for the second derivative DC Del Rey Fernández, DW Zingg SIAM Journal on Scientific Computing 37 (6), A2840-A2864, 2015 | 22 | 2015 |
Nonlinearly stable flux reconstruction high-order methods in split form A Cicchino, S Nadarajah, DCDR Fernández Journal of Computational Physics 458, 111094, 2022 | 21 | 2022 |