David C. Del Rey Fernández

37 papers Journal 37

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A finite-difference summation-by-parts, conditionally stable partitioned algorithm for conjugate heat transfer problems. CoRR Sarah Nataj, David C. Del Rey Fernández, David Brown, Rajeev Jaiman
2026	J	`jnl`	Convergence of entropy-stable continuous summation-by-parts discretizations of symmetric hyperbolic conservation laws. CoRR Zelalem Arega Worku, David C. Del Rey Fernández, David W. Zingg
2026	J	`jnl`	Rigorous Error Certification for Neural PDE Solvers: From Empirical Residuals to Solution Guarantees. CoRR Amartya Mukherjee, Maxwell Fitzsimmons, David C. Del Rey Fernández, Jun Liu
2025	J	`jnl`	Relative Efficiency of Finite-Difference and Discontinuous Spectral-Element Summation-by-Parts Methods on Distorted Meshes. J. Sci. Comput. Pieter D. Boom, David C. Del Rey Fernández, David W. Zingg
2025	J	`jnl`	SBP-FDEC: Summation-by-Parts Finite Difference Exterior Calculus. CoRR Daniel Bach, Andrés M. Rueda-Ramírez, Eric Sonnendrücker, David C. Del Rey Fernández, Gregor J. Gassner
2024	J	`jnl`	Fully-discrete provably Lyapunov consistent discretizations for convection-diffusion-reaction PDE systems. CoRR Rasha Al Jahdali, David C. Del Rey Fernández, Lisandro Dalcín, Matteo Parsani
2023	J	`jnl`	CUR Decomposition for Scalable Rank-Adaptive Reduced-Order Modeling of Nonlinear Stochastic PDEs with Time-Dependent Bases. CoRR Michael Donello, G. Palkar, Mohammad Hossein Naderi, David C. Del Rey Fernández, Hessam Babaee
2023	J	`jnl`	Strictly Uniform Exponential Decay of the Mixed-FEM Discretization for the Wave Equation With Boundary Dissipation. IEEE Control. Syst. Lett. David C. Del Rey Fernández, Luis Alejandro Mora, Kirsten Morris
2022	J	`jnl`	Nonlinearly stable flux reconstruction high-order methods in split form. J. Comput. Phys. Alexander Cicchino, Siva Nadarajah, David C. Del Rey Fernández
2022	J	`jnl`	Provably stable flux reconstruction high-order methods on curvilinear elements. J. Comput. Phys. Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah, Jesse Chan, Mark H. Carpenter
2021	J	`jnl`	High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable SSDC algorithms and flow solver. J. Comput. Phys. Matteo Parsani, Radouan Boukharfane, Irving Reyna Nolasco, David C. Del Rey Fernández, Stefano Zampini, Bilel Hadri, Lisandro Dalcín
2021	J	`jnl`	Mortar-based Entropy-Stable Discontinuous Galerkin Methods on Non-conforming Quadrilateral and Hexahedral Meshes. J. Sci. Comput. Jesse Chan, Mario J. Bencomo, David C. Del Rey Fernández
2021	J	`jnl`	Nonlinearly Stable Flux Reconstruction High-Order Methods in Split Form. CoRR Alexander Cicchino, Siva Nadarajah, David C. Del Rey Fernández
2021	J	`jnl`	On the robustness and performance of entropy stable collocated discontinuous Galerkin methods. J. Comput. Phys. Diego Rojas, Radouan Boukharfane, Lisandro Dalcín, David C. Del Rey Fernández, Hendrik Ranocha, David E. Keyes, Matteo Parsani
2021	J	`jnl`	Provably Stable Flux Reconstruction High-Order Methods on Curvilinear Elements. CoRR Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah, Jesse Chan, Mark H. Carpenter
2020	J	`jnl`	Mortar-based entropy-stable discontinuous Galerkin methods on non-conforming quadrilateral and hexahedral meshes. CoRR Jesse Chan, Mario J. Bencomo, David C. Del Rey Fernández
2019	J	`jnl`	Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer. J. Comput. Phys. Lisandro Dalcín, Diego Rojas, Stefano Zampini, David C. Del Rey Fernández, Mark H. Carpenter, Matteo Parsani
2019	J	`jnl`	Efficient Entropy Stable Gauss Collocation Methods. SIAM J. Sci. Comput. Jesse Chan, David C. Del Rey Fernández, Mark H. Carpenter
2019	J	`jnl`	Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. J. Sci. Comput. Lucas Friedrich, Gero Schnücke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Mark H. Carpenter
2019	J	`jnl`	Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations. CoRR David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Stefano Zampini, Matteo Parsani
2019	J	`jnl`	Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations. CoRR David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, L. Fredrich, Diego Rojas, Andrew R. Winters, Gregor J. Gassner, Stefano Zampini, Matteo Parsani
2019	J	`jnl`	Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations. CoRR David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Lucas Friedrich, Andrew R. Winters, Gregor J. Gassner, Matteo Parsani
2019	J	`jnl`	Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids. J. Comput. Phys. Nail K. Yamaleev, David C. Del Rey Fernández, Jialin Lou, Mark H. Carpenter
2019	J	`jnl`	Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates. J. Sci. Comput. David C. Del Rey Fernández, Pieter D. Boom, Mark H. Carpenter, David W. Zingg
2019	J	`jnl`	On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navie-Stokes equations. CoRR Diego Rojas, Radouan Boukharfane, Lisandro Dalcín, David C. Del Rey Fernández, Hendrik Ranocha, David E. Keyes, Matteo Parsani
2019	J	`jnl`	Optimized geometrical metrics satisfying free-stream preservation. CoRR Irving Reyna Nolasco, Lisandro Dalcín, David C. Del Rey Fernández, Stefano Zampini, Matteo Parsani
2019	J	`jnl`	SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids. J. Comput. Appl. Math. Longfei Gao, David C. Del Rey Fernández, Mark H. Carpenter, David E. Keyes
2019	J	`jnl`	Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates. J. Comput. Phys. David C. Del Rey Fernández, Jared Crean, Mark H. Carpenter, Jason E. Hicken
2018	J	`jnl`	An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. J. Sci. Comput. Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, Mark H. Carpenter
2018	J	`jnl`	Conservative and Stable Degree Preserving SBP Operators for Non-conforming Meshes. J. Sci. Comput. Lucas Friedrich, David C. Del Rey Fernández, Andrew R. Winters, Gregor J. Gassner, David W. Zingg, Jason E. Hicken
2018	J	`jnl`	Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements. J. Comput. Phys. Jared Crean, Jason E. Hicken, David C. Del Rey Fernández, David W. Zingg, Mark H. Carpenter
2018	J	`jnl`	Simultaneous Approximation Terms for Multi-dimensional Summation-by-Parts Operators. J. Sci. Comput. David C. Del Rey Fernández, Jason E. Hicken, David W. Zingg
2017	J	`jnl`	Corner-corrected diagonal-norm summation-by-parts operators for the first derivative with increased order of accuracy. J. Comput. Phys. David C. Del Rey Fernández, Pieter D. Boom, David W. Zingg
2016	J	`jnl`	Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements. SIAM J. Sci. Comput. Jason E. Hicken, David C. Del Rey Fernández, David W. Zingg
2015	J	`jnl`	Generalized Summation-by-Parts Operators for the Second Derivative. SIAM J. Sci. Comput. David C. Del Rey Fernández, David W. Zingg
2014	J	`jnl`	A generalized framework for nodal first derivative summation-by-parts operators. J. Comput. Phys. David C. Del Rey Fernández, Pieter D. Boom, David W. Zingg
2014	J	`jnl`	Generalized Summation-by-Parts Operators for the Second Derivative with Variable Coefficients. CoRR David C. Del Rey Fernández, David W. Zingg