Paul E. Castillo, Ph.D.

Affiliations: 
2001 University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics
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"Paul Castillo"

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Bernardo 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
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