Carmen Rodrigo
Applied Mathematics Department, University of Zaragoza




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RESEARCH


Research interests:
  • Flow in deformable porous media
  • Multilevel iterative methods for large-scale linear systems
  • Local Fourier analysis techniques 


Publications:
  1. G. Aguilar, F. J. Gaspar, F. Lisbona, C. Rodrigo. Numerical Stabilization of Biot's Consolidation Model by a Perturbation on the Flow Equation. Int. J. Numer. Meth. Engng 75 (2008) 1282-1300.
  2. A. Arraras, F.J. Gaspar, L. Portero, C. Rodrigo. Domain decomposition multigrid methods for nonlinear reaction-diffusion problems, Communications in nonlinear science and numerical simulation, 20 (2015) 699-710.
  3. J. Brannick, X. Hu, C. Rodrigo, L. Zikatanov, Local Fourier Analysis of Multigrid Methods with Polynomial Smoothers and Aggressive coarsening, Numerical Mathematics: Theory, Methods and Applications 8 (2015) 1-21.
  4. R. Ciegis, F.J. Gaspar, C. Rodrigo, On the parallel multiblock geometric multigrid algorithm, Computational Methods in Applied Mathematics, 8 (2008) 223-236.
  5. R. Ciegis, F.J. Gaspar, C. Rodrigo. Parallel multiblock Multigrid algorithms for poroelastic models. Parallel Scientific Computing and Optimization. pp. 169-180. 2009. ISBN 9780387097060
  6. F.J. Gaspar, F.J. Lisbona, C. Rodrigo. Multigrid Fourier analysis on semi-structured anisotropic meshes for vector problems. Mathematical Modelling and Analysis, 15 - 1 (2010) pp. 39-54.
  7. F.J. Gaspar, F.J. Lisbona, J.L. Gracia, C. Rodrigo, Multigrid finite element methods on semi-structured triangular grids for planar elasticity, Numer. Linear Algebra Appl. 17 (2010), 473-493.
  8. F.J. Gaspar, J.L. Gracia, F.J. Lisbona, C. Rodrigo, Efficient geometric Multigrid implementation for triangular grids, J. Comput. Appl. Math. 234 (2010) 1027-1035.
  9. F.J. Gaspar, J.L. Gracia, F.J. Lisbona, C. Rodrigo, On geometric multigrid methods for triangular grids using three-coarsening strategy, Applied Numerical Mathematics, 59 (2009) 1693-1708.
  10. F.J. Gaspar, F.J. Lisbona, C. Rodrigo. Multigrid finite element method on semi-structured grids for the poroelasticity problem. Numerical Mathematics and Advanced Applications, ENUMATH09. pp. 343-350. 2009. ISBN 9783642117947
  11. F.J. Gaspar, F.J. Lisbona, C. Rodrigo. Efficient implementation of box-relaxation multigrid methods for the poroelasticity problem on semi-structured grids. Monografias de la Real Academia de Ciencias Exactas, Fisicas, Quimicas y Naturales de Zaragoza. pp. 21-38. 2010.
  12. F.J. Gaspar, C. Rodrigo, R. Ciegis, A. Mirinavicius. Comparison of solvers for 2D Schrödinger problems. International Journal of Numerical Analysis and Modeling, 11 (2014) pp. 131-147.
  13. F.J. Gaspar, C. Rodrigo, E. Heidenreich. Geometric multigrid methods on structured triangular grids for incompressible Navier-Stokes equations at low Reynolds numbers, International Journal of Numerical Analysis and Modeling, 11 (2014) 400-411.
  14. F.J. Gaspar, Y. Notay, C.W. Oosterlee, C. Rodrigo,  A simple and efficient segregated smoother for the discrete Stokes equations, SIAM Journal on Scientific Computing 36 (2014) 1187-1206.
  15. X. Hu, C. Rodrigo, F.J. Gaspar, L. Zikatanov. A nonconforming finite element method for the Biot's consolidation model in poroelasticity, Journal of Computational and Applied Mathematics, 310 (2017) 143-154.
  16. P. Luo, C. Rodrigo, F.J. Gaspar, C.W. Oosterlee, Multigrid method for nonlinear poroelasticity equations, Computing and Visualization in Science, 17 (2015) 255-265.
  17. P. Luo, C. Rodrigo, F.J. Gaspar, C.W. Oosterlee, On an Uzawa smoother in multigrid for poroelasticity equations, Numerical linear algebra with applications, in press.
  18. P. Luo, C. Rodrigo, F.J. Gaspar, C.W. Oosterlee, Uzawa smoother in multigrid for coupled porous medium and Stokes flow system, submitted.
  19. M.A.V. Pinto, C. Rodrigo, F.J. Gaspar, C.W. Oosterlee, On the robustness of ILU smoothers on triangular grids, Applied Numerical Mathematics, 106 (2016) 37-52.
  20. C. Rodrigo, F.J. Gaspar, F.J. Lisbona. Multigrid methods on semi-structured grids. Archives of Computational Methods in Engineering (ARCME), 19 (2012) pp. 499-538.
  21. C. Rodrigo, F.J. Gaspar, F.J. Lisbona. Multicolor Fourier analysis of the multigrid method for quadratic FEM discretizations. Applied Mathematics and Computation, 218 (2012) pp. 11182-11195.
  22. C. Rodrigo, F.J. Gaspar, F.J. Lisbona. Geometric Multigrid Methods on Triangular Grids: Application to semi-structured meshes, Lambert Academic Publishing, Saarbrücken, 2012.
  23. C Rodrigo, P Salinas, F.J. Gaspar, F.J. Lisbona. Local Fourier analysis for cell-centered Multigrid methods on triangular grids. Journal of Computational and Applied Mathematics 259 (2014) 35-47.
  24. C. Rodrigo, F. J. Gaspar, C. W. Oosterlee, I. Yavneh. Accuracy measures and fourier analysis for the full multigrid algorithm. SIAM Journal on Scientific Computing, 32 - 5 (2010) pp. 3108-3129.
  25. C. Rodrigo, F. Sanz, F.J. Gaspar, F.J. Lisbona, Local Fourier analysis for edge-based discretizations on triangular grids, Numer. Math. Theor. Meth. Appl. 8 (2015) 78-96.
  26. C. Rodrigo, F.J. Gaspar, F.J. Lisbona, On a local Fourier analysis for overlapping block smoothers on triangular grids, Appl. Numer. Math., 105 (2016) 96-111.
  27. C. Rodrigo, F.J. Gaspar, X. Hu, L. Zikatanov, A finite element framework for some mimetic finite difference discretizations, Computers & Mathematics with Applications, 70 (2015) 2661-2673.
  28. C. Rodrigo, F.J. Gaspar, X. Hu, L. Zikatanov, Stability and monotonicity in the low order discretizations of the Biot's model, Computer Methods in Applied Mechanics and Engineering, 298 (2016) 183-204.
  29. C. Rodrigo, Poroelasticity problem: numerical difficulties and efficient multigrid solution, SeMA Journal, 73 (2016) 31-57.
  30. P. Salinas, C. Rodrigo, F. J. Gaspar, F. J. Lisbona. Multigrid methods for cell-centered discretizations on triangular meshes. Numerical Linear Algebra with Applications,  20 (2013) pp. 626-644.
  31. P. Salinas, C. Rodrigo, F. J. Gaspar, F. J. Lisbona. An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids. Computers & Mathematics with Applications, 65 - 12, (2013) pp. 1978-1989.

Organisation of Scientific Meetings and Special Sessions: