Paul E. Castillo, Ph.D.
Affiliations: | 2001 | University of Minnesota, Twin Cities, Minneapolis, MN |
Area:
MathematicsGoogle:
"Paul Castillo"Parents
Sign in to add mentorBernardo Cockburn | grad student | 2001 | UMN | |
(Local discontinuous Galerkin methods for convection -diffusion and elliptic problems.) |
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Publications
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Castillo P, Gómez S. (2020) On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem Journal of Scientific Computing. 85 |
Castillo PE, Sequeira FA. (2013) Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions Mathematical and Computer Modelling. 57: 2279-2288 |
Velázquez ES, Castillo PE. (2008) An adaptive strategy for the local discontinuous Galerkin method applied to porous media problems Computer-Aided Civil and Infrastructure Engineering. 23: 238-252 |
Castillo PE, Velázquez ES. (2008) A numerical study of a semi-algebraic multilevel preconditioner for the local discontinuous Galerkin method International Journal For Numerical Methods in Engineering. 74: 255-268 |
Castillo P. (2006) A review of the Local Discontinuous Galerkin (LDG) method applied to elliptic problems Applied Numerical Mathematics. 56: 1307-1313 |
Castillo P. (2005) An a posteriori error estimate for the local discontinuous Galerkin method Journal of Scientific Computing. 22: 187-204 |
Castillo P. (2003) Performance of discontinuous Galerkin methods for elliptic PDEs Siam Journal On Scientific Computing. 24: 524-547 |
Castillo P. (2003) Local Discontinuous Galerkin and classical finite element methods: Differences and similarities American Society of Mechanical Engineers, Heat Transfer Division, (Publication) Htd. 374: 273-280 |
Castillo P. (2003) A superconvergence result for discontinuous Galerkin methods applied to elliptic problems Computer Methods in Applied Mechanics and Engineering. 192: 4675-4685 |
Castillo P, Cockburn B, Schötzau D, et al. (2002) Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems Mathematics of Computation. 71: 455-478 |