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José Pablo Lucero Lorca
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All published works
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Title
Year
Authors
+
Optimization of two-level methods for DG discretizations of reaction-diffusion equations
2024
Martin J. Gander
José Pablo Lucero Lorca
+
PDF
Chat
An Iterative Solver for the HPS Discretization Applied to Three Dimensional Helmholtz Problems
2024
José Pablo Lucero Lorca
Natalie Beams
Damien Beecroft
Adrianna Gillman
+
PDF
Chat
Should Multilevel Methods for Discontinuous Galerkin Discretizations Use Discontinuous Interpolation Operators?
2022
José Pablo Lucero Lorca
Martin J. Gander
+
PDF
Chat
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems
2021
José Pablo Lucero Lorca
Natalie Beams
Damien Beecroft
Adrianna Gillman
+
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems
2021
José Pablo Lucero Lorca
Natalie Beams
Damien Beecroft
Adrianna Gillman
+
Optimization of two-level methods for DG discretizations of reaction-diffusion equations
2020
José Pablo Lucero Lorca
Martin J. Gander
+
PDF
Chat
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems
2020
José Pablo Lucero Lorca
Guido Kanschat
+
A Weakly Penalized Discontinuous Galerkin Method for Radiation in Dense, Scattering Media
2016
Guido Kanschat
José Pablo Lucero Lorca
Common Coauthors
Coauthor
Papers Together
Damien Beecroft
3
Natalie Beams
3
Martin J. Gander
3
Adrianna Gillman
3
Guido Kanschat
2
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Multi-level adaptive solutions to boundary-value problems
1977
Achi Brandt
3
+
PDF
Chat
Fourier two‐level analysis for discontinuous Galerkin discretization with linear elements
2004
Piet Hemker
W. Hoffmann
M.H. van Raalte
3
+
PDF
Chat
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
2002
Douglas N. Arnold
Franco Brezzi
Bernardo Cockburn
L. D. Marini
2
+
A Weakly Penalized Discontinuous Galerkin Method for Radiation in Dense, Scattering Media
2016
Guido Kanschat
José Pablo Lucero Lorca
2
+
Rigorous Quantitative Analysis of Multigrid, I. Constant Coefficients Two-Level Cycle with $L_2 $-Norm
1994
Achi Brandt
2
+
Domain decomposition: Parallel multilevel methods for elliptic partial differential equations
1997
Barry Smith
Petter E. Bjørstad
William Gropp
2
+
Optimization of the Hermitian and Skew-Hermitian Splitting Iteration for Saddle-Point Problems
2003
Michele Benzi
Martin J. Gander
Gene H. Golub
1
+
On the variational approximation of the transport operator
1976
Juhani Pitkäranta
1
+
Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry
1983
Juhani Pitkäranta
L. Ridgway Scott
1
+
A parameter-uniform Schwarz method for a coupled system of reaction–diffusion equations
2008
Meghan Stephens
Niall Madden
1
+
PDF
Chat
A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method
2014
Adrianna Gillman
Per‐Gunnar Martinsson
1
+
PDF
Chat
Sparse tensor spherical harmonics approximation in radiative transfer
2011
Konstantin Grella
Ch. Schwab
1
+
Iterative Methods by Space Decomposition and Subspace Correction
1992
Jinchao Xu
1
+
PDF
Chat
On a Finite Element Method for Solving the Neutron Transport Equation
1974
P. LASAINT
Pierre-Arnaud Raviart
1
+
A Robust Multigrid Preconditioner for $S_N$DG Approximation of Monochromatic, Isotropic Radiation Transport Problems
2014
Guido Kanschat
Jean C. Ragusa
1
+
PDF
Chat
A generalized BPX multigrid framework covering nonnested V-cycle methods
2006
Huoyuan Duan
Shaoqin Gao
Roger C. E. Tan
Shangyou Zhang
1
+
PDF
Chat
The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
1997
Simon N. Chandler‐Wilde
1
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Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
2001
Andrew Knyazev
1
+
On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem
1998
Igor Boglaev
1
+
The speed of convergence of one iterative process
1964
R.P. Fedorenko
1
+
PDF
Chat
Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes II
1989
Edward W. Larsen
Jim E. Morel
1
+
PDF
Chat
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
2014
Adrianna Gillman
Alex H. Barnett
Per‐Gunnar Martinsson
1
+
Convergence of a Fully Discrete Scheme for Two-Dimensional Neutron Transport
1983
Claes Johnson
Juhani Pitkäranta
1
+
PDF
Chat
A multidomain spectral method for solving elliptic equations
2003
Harald Pfeiffer
Larry Kidder
Mark Scheel
Saul A. Teukolsky
1
+
A robust S-DG-approximation for radiation transport in optically thick and diffusive regimes
2011
Jean C. Ragusa
Jean‐Luc Guermond
Guido Kanschat
1
+
PDF
Chat
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
1986
Yousef Saad
Martin H. Schultz
1
+
PDF
Chat
Sparse tensor phase space Galerkin approximation for radiative transport
2014
Konstantin Grella
1
+
Analysis of a Fully Discrete Scheme for Neutron Transport in Two-Dimensional Geometry
1986
Mohammad Asadzadeh
1
+
A second-order parameter-uniform overlapping Schwarz method for reaction–diffusion problems with boundary layers
2001
H. MacMullen
John J. H. Miller
Eugene O’Riordan
G. I. Shishkin
1
+
Singular Perturbations and Boundary Layers
2018
Gung-Min Gie
Makram Hamouda
Chang‐Yeol Jung
Roger Témam
1
+
PDF
Chat
An Adaptive High Order Direct Solution Technique for Elliptic Boundary Value Problems
2019
Peter Geldermans
Adrianna Gillman
1
+
A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
2019
Martin J. Gander
Hui Zhang
1
+
PDF
Chat
V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes
2018
Paola F. Antonietti
Giorgio Pennesi
1
+
PDF
Chat
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
2019
Natalie Beams
Adrianna Gillman
Russell J. Hewett
1
+
Mathematical Analysis and Numerical Methods for Science and Technology
2000
1
+
PDF
Chat
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems
2020
José Pablo Lucero Lorca
Guido Kanschat
1
+
PDF
Chat
A new level-dependent coarse grid correction scheme for indefinite Helmholtz problems
2013
Siegfried Cools
Bram Reps
Wim Vanroose
1
+
PDF
Chat
Classical solutions to reaction–diffusion systems for hedging problems with interacting Itô and point processes
2005
Dirk Becherer
Martin Schweizer
1
+
Multi-Grid Methods and Applications
1985
Wolfgang Hackbusch
1
+
PDF
Chat
Finite Element Methods for Elliptic Equations Using Nonconforming Elements
1977
Garth A. Baker
1
+
Mathematical Analysis and Numerical Methods for Science and Technology
2000
1
+
Approximate solution of the transport equation by methods of Galerkin type
1977
Juhani Pitkäranta
1
+
The Asymptotic Diffusion Limit of Discretized Transport Problems
1992
Edward W. Larsen
1
+
Sparse adaptive finite elements for radiative transfer
2008
Gisela Widmer
Ralf Hiptmair
Ch. Schwab
1
+
PDF
Chat
Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems
2015
Paola F. Antonietti
Marco Sarti
Marco Verani
1
+
THE DISCRETE ORDINATES METHOD FOR THE NEUTRON TRANSPORT EQUATION IN AN INFINITE CYLINDRICAL DOMAIN
1992
Mohammad Asadzadeh
Peter Kumlin
Stig Larsson
1