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Giraldo, Francis X.

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Author ID: giraldo.francis-x Recent zbMATH articles by "Giraldo, Francis X."
Published as: Giraldo, Francis X.; Giraldo, F. X.; Giraldo, Francis
External Links: MGP
Documents Indexed: 42 Publications since 1997, including 1 Book
Co-Authors: 34 Co-Authors with 32 Joint Publications
653 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 743 times in 424 Documents Cited by Year
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268
Giraldo, F. X.; Hesthaven, J. S.; Warburton, T.
83
2002
A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases. Zbl 1194.76189
Giraldo, F. X.; Restelli, M.
53
2008
Analysis of an exact fractional step method. Zbl 1130.76394
Chang, Wang; Giraldo, Francis; Perot, Blair
50
2002
Implicit-explicit formulations of a three-dimensional nonhydrostatic unified model of the atmosphere (NUMA). Zbl 1280.86008
Giraldo, F. X.; Kelly, J. F.; Constantinescu, E. M.
46
2013
The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids. Zbl 0920.65070
Giraldo, Francis X.
36
1998
A high-order triangular discontinuous Galerkin oceanic shallow water model. Zbl 1290.86002
Giraldo, F. X.; Warburton, T.
36
2008
A nodal triangle-based spectral element method for the shallow water equations on the sphere. Zbl 1177.86002
Giraldo, F. X.; Warburton, T.
35
2005
High-order semi-implicit time-integrators for a triangular discontinuous Galerkin oceanic shallow water model. Zbl 1267.76010
Giraldo, F. X.; Restelli, M.
32
2010
A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling. Zbl 1405.65127
Restelli, Marco; Giraldo, Francis X.
26
2009
Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations. Zbl 0977.76045
Giraldo, Francis X.
26
2000
A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations. Zbl 1076.76058
Giraldo, F. X.; Perot, J. B.; Fischer, P. F.
25
2003
A spectral element shallow water model on spherical geodesic grids. Zbl 1030.76045
Giraldo, Francis X.
24
2001
Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations. Zbl 1349.76226
Kopera, Michal A.; Giraldo, Francis X.
24
2014
High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere. Zbl 1089.65096
Giraldo, Francis X.
24
2006
Semi-implicit formulations of the Navier-Stokes equations: application to nonhydrostatic atmospheric modeling. Zbl 1237.76153
Giraldo, F. X.; Restelli, M.; Läuter, M.
23
2010
Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode. Zbl 1284.65134
Kelly, James F.; Giraldo, Francis X.
21
2012
Lagrange-Galerkin methods on spherical geodesic grids. Zbl 0909.65066
Giraldo, Francis X.
20
1997
Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations. Zbl 1029.76042
Giraldo, F. X.
19
2003
A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates. Zbl 1218.76028
Läuter, Matthias; Giraldo, Francis X.; Handorf, Dörthe; Dethloff, Klaus
19
2008
Variational multiscale stabilization of high-order spectral elements for the advection-diffusion equation. Zbl 1284.65119
Marras, S.; Kelly, J. F.; Giraldo, F. X.; Vázquez, M.
13
2012
The Lagrange-Galerkin method for the two-dimensional shallow water equations on adaptive grids. Zbl 0989.76047
Giraldo, Francis X.
12
2000
A diagonal-mass-matrix triangular-spectral-element method based on cubature points. Zbl 1110.65093
Giraldo, F. X.; Taylor, M. A.
11
2006
A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary. Zbl 1231.76158
Lindquist, Joseph M.; Neta, Beny; Giraldo, Francis X.
11
2010
Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. Zbl 1349.76292
Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V.
9
2014
Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates. Zbl 0883.76060
Neta, B.; Giraldo, F. X.; Navon, I. M.
8
1997
High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: no mean flow case. Zbl 1231.76066
Dea, John R.; Giraldo, Francis X.; Neta, Beny
8
2009
Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions. Zbl 1342.76019
Lindquist, Joseph M.; Giraldo, Francis X.; Neta, Beny
6
2010
Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES. Zbl 1349.76127
Marras, Simone; Nazarov, Murtazo; Giraldo, Francis X.
6
2015
Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. Zbl 1391.76305
Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A.
6
2018
An element-based spectrally optimized approximate inverse preconditioner for the Euler equations. Zbl 1253.65147
Carr, L. E. III; Borges, C. F.; Giraldo, F. X.
5
2012
A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. Zbl 1360.86004
Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol
5
2016
Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation. Zbl 0937.65099
Giraldo, F. X.; Neta, B.
4
1999
Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations. Zbl 1349.76227
Kopera, Michal A.; Giraldo, Francis X.
4
2015
Hybrid Eulerian-Lagrangian semi-implicit time-integrators. Zbl 1206.76038
Giraldo, F. X.
3
2006
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. Zbl 1453.65328
Kang, Shinhoo; Giraldo, Francis X.; Bui-Thanh, Tan
3
2020
Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations. Zbl 1349.76162
Abdi, Daniel S.; Giraldo, Francis X.
3
2016
High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods. Zbl 1426.76501
Escobar-Vargas, J. A.; Diamessis, P. J.; Giraldo, F. X.
2
2012
An introduction to element-based Galerkin methods on tensor-product bases. Analysis, algorithms, and applications. Zbl 1451.65004
Giraldo, Francis X.
1
2020
A parameter-free dynamic alternative to hyper-viscosity for coupled transport equations: application to the simulation of 3D squall lines using spectral elements. Zbl 1351.86003
Marras, Simone; Giraldo, Francis X.
1
2015
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. Zbl 1453.65328
Kang, Shinhoo; Giraldo, Francis X.; Bui-Thanh, Tan
3
2020
An introduction to element-based Galerkin methods on tensor-product bases. Analysis, algorithms, and applications. Zbl 1451.65004
Giraldo, Francis X.
1
2020
Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. Zbl 1391.76305
Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A.
6
2018
A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. Zbl 1360.86004
Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol
5
2016
Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations. Zbl 1349.76162
Abdi, Daniel S.; Giraldo, Francis X.
3
2016
Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES. Zbl 1349.76127
Marras, Simone; Nazarov, Murtazo; Giraldo, Francis X.
6
2015
Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations. Zbl 1349.76227
Kopera, Michal A.; Giraldo, Francis X.
4
2015
A parameter-free dynamic alternative to hyper-viscosity for coupled transport equations: application to the simulation of 3D squall lines using spectral elements. Zbl 1351.86003
Marras, Simone; Giraldo, Francis X.
1
2015
Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations. Zbl 1349.76226
Kopera, Michal A.; Giraldo, Francis X.
24
2014
Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. Zbl 1349.76292
Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V.
9
2014
Implicit-explicit formulations of a three-dimensional nonhydrostatic unified model of the atmosphere (NUMA). Zbl 1280.86008
Giraldo, F. X.; Kelly, J. F.; Constantinescu, E. M.
46
2013
Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode. Zbl 1284.65134
Kelly, James F.; Giraldo, Francis X.
21
2012
Variational multiscale stabilization of high-order spectral elements for the advection-diffusion equation. Zbl 1284.65119
Marras, S.; Kelly, J. F.; Giraldo, F. X.; Vázquez, M.
13
2012
An element-based spectrally optimized approximate inverse preconditioner for the Euler equations. Zbl 1253.65147
Carr, L. E. III; Borges, C. F.; Giraldo, F. X.
5
2012
High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods. Zbl 1426.76501
Escobar-Vargas, J. A.; Diamessis, P. J.; Giraldo, F. X.
2
2012
High-order semi-implicit time-integrators for a triangular discontinuous Galerkin oceanic shallow water model. Zbl 1267.76010
Giraldo, F. X.; Restelli, M.
32
2010
Semi-implicit formulations of the Navier-Stokes equations: application to nonhydrostatic atmospheric modeling. Zbl 1237.76153
Giraldo, F. X.; Restelli, M.; Läuter, M.
23
2010
A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary. Zbl 1231.76158
Lindquist, Joseph M.; Neta, Beny; Giraldo, Francis X.
11
2010
Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions. Zbl 1342.76019
Lindquist, Joseph M.; Giraldo, Francis X.; Neta, Beny
6
2010
A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling. Zbl 1405.65127
Restelli, Marco; Giraldo, Francis X.
26
2009
High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: no mean flow case. Zbl 1231.76066
Dea, John R.; Giraldo, Francis X.; Neta, Beny
8
2009
A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases. Zbl 1194.76189
Giraldo, F. X.; Restelli, M.
53
2008
A high-order triangular discontinuous Galerkin oceanic shallow water model. Zbl 1290.86002
Giraldo, F. X.; Warburton, T.
36
2008
A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates. Zbl 1218.76028
Läuter, Matthias; Giraldo, Francis X.; Handorf, Dörthe; Dethloff, Klaus
19
2008
High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere. Zbl 1089.65096
Giraldo, Francis X.
24
2006
A diagonal-mass-matrix triangular-spectral-element method based on cubature points. Zbl 1110.65093
Giraldo, F. X.; Taylor, M. A.
11
2006
Hybrid Eulerian-Lagrangian semi-implicit time-integrators. Zbl 1206.76038
Giraldo, F. X.
3
2006
A nodal triangle-based spectral element method for the shallow water equations on the sphere. Zbl 1177.86002
Giraldo, F. X.; Warburton, T.
35
2005
A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations. Zbl 1076.76058
Giraldo, F. X.; Perot, J. B.; Fischer, P. F.
25
2003
Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations. Zbl 1029.76042
Giraldo, F. X.
19
2003
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268
Giraldo, F. X.; Hesthaven, J. S.; Warburton, T.
83
2002
Analysis of an exact fractional step method. Zbl 1130.76394
Chang, Wang; Giraldo, Francis; Perot, Blair
50
2002
A spectral element shallow water model on spherical geodesic grids. Zbl 1030.76045
Giraldo, Francis X.
24
2001
Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations. Zbl 0977.76045
Giraldo, Francis X.
26
2000
The Lagrange-Galerkin method for the two-dimensional shallow water equations on adaptive grids. Zbl 0989.76047
Giraldo, Francis X.
12
2000
Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation. Zbl 0937.65099
Giraldo, F. X.; Neta, B.
4
1999
The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids. Zbl 0920.65070
Giraldo, Francis X.
36
1998
Lagrange-Galerkin methods on spherical geodesic grids. Zbl 0909.65066
Giraldo, Francis X.
20
1997
Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates. Zbl 0883.76060
Neta, B.; Giraldo, F. X.; Navon, I. M.
8
1997
all top 5

Cited by 639 Authors

32 Giraldo, Francis X.
14 Dehghan Takht Fooladi, Mehdi
14 Dumbser, Michael
13 Bonaventura, Luca
9 Dawson, Clint N.
8 Gassner, Gregor J.
7 Abbaszadeh, Mostafa
7 Kopriva, David Alan
7 Nair, Ramachandran D.
7 Westerink, Joannes J.
6 Hesthaven, Jan S.
6 Kubatko, Ethan J.
6 Marras, Simone
6 Perot, J. Blair
6 Schütz, Jochen
6 Tavelli, Maurizio
5 Bui-Thanh, Tan
5 Eskilsson, Claes
5 Neta, Beny
5 Nithiarasu, Perumal
5 Quan, Shaoping
5 Restelli, Marco
5 Schmidt, David P.
5 Sherwin, Spencer J.
5 Taylor, Mark Alan
5 Xing, Yulong
4 Behrens, Jorn
4 Colonius, Tim
4 Dea, John R.
4 Diamessis, Peter J.
4 Higdon, Robert L.
4 Hindenlang, Florian J.
4 Kaiser, Klaus Hermann
4 Karniadakis, George Em
4 Kometa, Bawfeh Kingsley
4 Kopera, Michal A.
4 Legat, Vincent
4 Lou, Jing
4 Lukáčová-Medvid’ová, Mária
4 Munz, Claus-Dieter
4 Pasquetti, Richard
4 Pudykiewicz, Janusz A.
4 Remacle, Jean-François
4 Seaïd, Mohammed
4 Smolarkiewicz, Piotr K.
4 Vazquez, Mariano
4 Wirasaet, Damrongsak
4 Xiao, Feng
3 Abbà, Antonella
3 Alipanah, Amjad
3 Beck, Andrea D.
3 Bermejo, Rodolfo
3 Boscheri, Walter
3 Brus, S. R.
3 Cai, Xiaofeng
3 Celledoni, Elena
3 Constantinescu, Emil M.
3 Cotter, Colin John
3 Dethloff, Klaus
3 Erath, Christoph
3 Fakhar-Izadi, Farhad
3 Fambri, Francesco
3 Garres-Díaz, José
3 Ghosh, Debojyoti
3 Handorf, Dörthe
3 Houzeaux, Guillaume
3 Jorba, Oriol
3 Kang, Shinhoo
3 Kelly, James F.
3 Kesserwani, Georges
3 Kim, Philsu
3 Läuter, Matthias
3 LeFloch, Philippe Gerard
3 Liang, Qiuhua
3 Lindquist, Joseph M.
3 Lotfi, Mahmoud
3 Lötstedt, Per
3 Mazzieri, Ilario
3 Moragues, Margarida
3 Moxey, David
3 Myong, Rho-Shin
3 Nazarov, Murtazo
3 Nordström, Jan
3 Palha, Artur
3 Pavarino, Luca Franco
3 Qiu, Jingmei
3 Rapetti, Francesca
3 Sabouri, Mania
3 Wang, Shizhao
3 Winters, Andrew R.
3 Zhang, Hong
3 Zhang, Xing
3 Zhu, Jun
2 Aizinger, Vadym
2 Baldauf, Michael
2 Bao, Yan
2 Beisiegel, Nicole
2 Beljadid, Abdelaziz
2 Benacchio, Tommaso
2 Bernard, Paul-Emile
...and 539 more Authors
all top 5

Cited in 74 Serials

144 Journal of Computational Physics
37 Journal of Scientific Computing
33 Computer Methods in Applied Mechanics and Engineering
25 Computers and Fluids
14 Computers & Mathematics with Applications
13 SIAM Journal on Scientific Computing
12 Applied Mathematics and Computation
12 Applied Numerical Mathematics
10 International Journal for Numerical Methods in Fluids
6 Journal of Computational and Applied Mathematics
6 Numerische Mathematik
5 Journal of Fluid Mechanics
5 Wave Motion
4 Numerical Algorithms
4 Applied Mathematical Modelling
4 Computational Geosciences
3 Journal of Engineering Mathematics
3 International Journal for Numerical Methods in Engineering
3 Applied Mathematics Letters
3 International Journal of Computer Mathematics
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Communications in Nonlinear Science and Numerical Simulation
3 Communications in Computational Physics
3 Communications in Applied and Industrial Mathematics
2 Applicable Analysis
2 Theoretical and Computational Fluid Dynamics
2 Applied Mathematics and Mechanics. (English Edition)
2 Physics of Fluids
2 Numerical Linear Algebra with Applications
2 Advances in Computational Mathematics
2 Engineering Analysis with Boundary Elements
2 International Journal of Computational Fluid Dynamics
2 Journal of Applied Mathematics
2 Communications on Applied Mathematics and Computation
1 Computer Physics Communications
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 BIT
1 Computing
1 Kyungpook Mathematical Journal
1 Mathematics and Computers in Simulation
1 SIAM Journal on Numerical Analysis
1 Acta Applicandae Mathematicae
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 SIAM Review
1 Communications in Numerical Methods in Engineering
1 Russian Journal of Mathematical Physics
1 Computational and Applied Mathematics
1 Matematicheskoe Modelirovanie
1 Archives of Computational Methods in Engineering
1 Journal of Systems Science and Complexity
1 Sādhanā
1 Multiscale Modeling & Simulation
1 Journal of Function Spaces and Applications
1 Acta Numerica
1 Advances in Difference Equations
1 International Journal of Numerical Analysis and Modeling
1 Journal of Computational Acoustics
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Communications in Applied Mathematics and Computational Science
1 Advances in Applied Mathematics and Mechanics
1 ISRN Geometry
1 Mathematics
1 Iranian Journal of Numerical Analysis and Optimization
1 Computational Methods for Differential Equations
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SMAI Journal of Computational Mathematics
1 Cogent Mathematics & Statistics
1 Results in Applied Mathematics

Citations by Year