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Paul E. Castillo, Ph.D. - Publications

Affiliations: 
2001 University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics
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15 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Castillo P, Gómez S. On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem Journal of Scientific Computing. 85. DOI: 10.1007/s10915-020-01335-5  0.383
2013 Castillo PE, Sequeira FA. Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions Mathematical and Computer Modelling. 57: 2279-2288. DOI: 10.1016/j.mcm.2011.07.032  0.403
2010 Castillo PE. Computational aspects of the Local Discontinuous Galerkin for non conforming meshes in 2D | Aspectos computacionales del método Local Discontinuous Galerkin para mallas no conformes en 2D Revista Internacional De Metodos Numericos Para Calculo Y Diseno En Ingenieria. 26: 283-292.  0.302
2008 Velázquez ES, Castillo PE. An adaptive strategy for the local discontinuous Galerkin method applied to porous media problems Computer-Aided Civil and Infrastructure Engineering. 23: 238-252. DOI: 10.1111/j.1467-8667.2007.00539.x  0.434
2008 Castillo PE, Velázquez ES. 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. DOI: 10.1002/nme.2164  0.401
2006 Castillo P. A review of the Local Discontinuous Galerkin (LDG) method applied to elliptic problems Applied Numerical Mathematics. 56: 1307-1313. DOI: 10.1016/j.apnum.2006.03.016  0.448
2005 Castillo P. An a posteriori error estimate for the local discontinuous Galerkin method Journal of Scientific Computing. 22: 187-204. DOI: 10.1007/s10915-004-4151-7  0.352
2003 Castillo P. Performance of discontinuous Galerkin methods for elliptic PDEs Siam Journal On Scientific Computing. 24: 524-547. DOI: 10.1137/S1064827501388339  0.378
2003 Castillo P. Local Discontinuous Galerkin and classical finite element methods: Differences and similarities American Society of Mechanical Engineers, Heat Transfer Division, (Publication) Htd. 374: 273-280. DOI: 10.1115/IMECE2003-42615  0.441
2003 Castillo P. A superconvergence result for discontinuous Galerkin methods applied to elliptic problems Computer Methods in Applied Mechanics and Engineering. 192: 4675-4685. DOI: 10.1016/S0045-7825(03)00445-6  0.354
2002 Castillo P, Cockburn B, Schötzau D, Schwab C. 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. DOI: 10.1090/S0025-5718-01-01317-5  0.554
2002 Castillo P, Cockburn B, Perugia I, Schötzau D. Local discontinuous Galerkin methods for elliptic problems Communications in Numerical Methods in Engineering. 18: 69-75. DOI: 10.1002/Cnm.471  0.557
2001 Castillo P, Cockburn B, Perugia I, Schötzau D. An a priori error analysis of the local discontinuous Galerkin method for elliptic problems Siam Journal On Numerical Analysis. 38: 1676-1706. DOI: 10.1137/S0036142900371003  0.521
2000 Aizinger V, Dawson C, Cockburn B, Castillo P. The local discontinuous Galerkin method for contaminant transport Advances in Water Resources. 24: 73-87. DOI: 10.1016/S0309-1708(00)00022-1  0.545
1998 Castillo P. Journal of Scientific Computing. 13: 275-302. DOI: 10.1023/A:1023219016301  0.377
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