Personal webpage

 

  Departamento de Matemática e Informática,
  ETSI Caminos, Canales y Puertos,                                              
  Universidad Politécnica de Madrid,
  Ciudad Universitaria, 
  28040 Madrid.
 

Tlf: (34) 91 336 67 66
E-mail: carlos.castro@upm.es


Teaching (2013/14)

First semester: 
Teoría de campos (Graduado en Ingeniería Civil y Territorial de la UPM),

Second semester: 
Ecuaciones Diferenciales (Graduado en Ingeniería Civil y Territorial de la UPM),
Análisis de Series Temporales y Análisis Espectral y Procesamiento Digital de Imágenes (Máster en Ingeniería Geodésica y Cartografía de la UPM)

Office: 6th floor, Monday and Tuesday 9:30-12:30

Previous courses: Informática (12/13), Cálculo (10/11)

Links: OCTAVE UPM and MateWiki



Research areas

  1. Distributed control of PDE
  2. Optimal design problems
  3. Numerical approximation of control problems
  4. Homogenization in PDE
  5. Control and Optimization in conservation laws 



Publications 

Continuous adjoint approach for the Spalart-Allmaras model in aerodynamic optimization, 
 AIAA Journal, Vol. 50, No. 3, March 2012, A. Bueno-Orovio, C. Castro, F. Palacios y E. Zuazua.

Numerical approximation of a one-dimensional elliptic optimal design problem, 
SIAM Multiscale Modeling and Simulation, 2011, Vol. 9, No. 3, pp. 1181-1216, J. Casado Díaz, C. Castro, M. Luna Laynez y E. Zuazua, pdf

Exact controllability of the 1-d wave equation from a moving interior point, 
ESAIM COCV  Volume  19 / Issue 01 / 2013, pp 301 - 316, C. Castro, pdf

Flux identification for 1-d scalar conservation laws in the presence of shocks, 
Math. of Comp., 80, (2011) 2025-2070, C. Castro y E. Zuazua, pdf

Optimal control and vanishing viscosity for the Burgers equation, 
en Integral Methods in Science and Engineering, Vol. 2 Computational Methods, C. Constanda and M.E. Pérez Ed., 
Birkauser Boston, 2010, pp. 65-90, C. Castro, F. Palacios y E. Zuazuapdf

2D Euler shape design on non-regular flows using adjoint Rankine-Hugoniot relations,  
AIAA Journal, 47 (2009) 552-562, T. Baeza, C. Castro, F. Palacios y E. Zuazua pdf

Optimal boundary geometry in an elasticity problem: a systematic adjoint approach, 
Proceedings IASS, Symposium 2009, Evolution and Trends in Design, Analysis and Construction of Shell and Spatial
Structures, A. Domingo and C. Lazaro Ed., 509-524.,  J. García-Palacios, C. Castro and A. Samartín. pdf

A systematic formulation of the continuous adjoint method applied to viscous aerodynamics design, 
Revista de Investigación Operacional 30 (1), (2009) 3-10. C. Castro, C. Lozano, F. Palacios y E. Zuazua, ref.

An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocks, 
Mathematical Models and Methods in Applied Sciences 18 (3), (2008) 369–416. C. Castro, F. Palacios y E. Zuazua,  pdf

Numerical approximation of the boundary control of the wave equation in a square with a mixed finite element method, 
IMA J. Numerical Analysis 28 (3), (2008) 186–214. C. Castro, S. Micu y A. Munch, pdf

Systematic Continuous Adjoint Approach to Viscous Aerodynamics Design on Unstructured Grids, 
AIAA Journal 45 (9), (2007) 2125-2139. C. Castro, C. Lozano, F. Palacios y E. Zuazua, pdf 

Addendum to Concentration and lack of observability of waves in highly heterogeneous media, 
Arch. Rat. Mech. Anal. 185 (3),  (2007) 365-377. C. Castro y E. Zuazua, pdf

Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method, 
Numerische Mathematik, 102 (3),  (2006) 413-462, C. Castro y S. Micu, pdf

Unique continuation and control for the heat equation from a lower dimensional manifold, 
SIAM J. Cont. Optim, 42 (4), 1400-1434. C. Castro y E. Zuazua, pdf

Some topics on the control and homogenization of parabolic partial differential 
equations, 
in Homogenization 2001, 
L. Carbone and R. De Arcangelis 
Ed., 
Gakuto Internat. Ser. Math. Sci. Appl. 18, 
Gakuto Tokio, 2003, pp. 49-93, C. Castro y E. Zuazua pdf

Concentration and lack of observability of waves in highly heterogeneous media
Arch. Rat. Mech. Anal. 164 (1),  (2002) 39-72, C. Castro y E. Zuazua, pdf

Optimization of nuclear fuel reloading by the homogenization method, 
Structural and Multidisciplinary Optimization24 (1), 11-22.  G. Allaire y C. Castro,  pdf

Achieving arbitrarily large decay in the damped wave equation
SIAM J. Cont. Optim., 39 (6),  (2001) 1748-1755, C. Castro y S. Cox, pdf

A new approach to the optimal distribution of assemblies in a Nuclear Reactor
Numerische Mathematik, 89 (1), (2001)  1-29, G. Allaire y C. Castro, pdf

High frequency asymptotic analysis of a string with rapidly oscillating density, 
European J. Appl. Math., 11 595-622, (2000). C. Castro y E. Zuazua, pdf

Low frequency asymptotic analysis of a string with rapidly oscillating density, 
SIAM J. Appl. Math., 60,  (2000) 1205-1233, C. Castro y E. Zuazua, pdf

Exact boundary controllability of two Euler-Benouilli beams connected by a point mass, 
Math.& Comp. Modelling 32 (9), (2000) 955-969 C. Castro y E. Zuazua, pdf

Boundary controllability of the one-dimensional wave equation with rapidly oscillating density. 
Asymptotic Analysis, 20 (3-4),  (1999), 317-350, C. Castro, pdf

Boundary controllability of a hybrid system consisting in two flexible beams connected by a point mass, 
SIAM J. Cont. Optim. 36 (1998) 1576-1595, C. Castro y E. Zuazua. pdf

Asymptotic analysis and control of a hybrid system composed by two vibrating strings connected by a point mass, 
ESAIM Cont. Optim. and Calculus of Variations, 2 (1997) 231-280, C. Castro, pdf

A hybrid system consisting of two flexible beams connected by a point mass: spectral analysis and well-posedness 
in asymmetric Spaces, 
in Élasticité, Viscoélasticité et Controle Optimal, ESAIM Proceedings, Vol. 2, 1997, pp. 17-53, C. Castro y E. Zuazua. pdf

Une remarque sur l'analyse asymptotique spectrale en homogénéisation
C. R. Acad. Sci. Paris, 322 (1996) Serie I Mathematiques, 1043-1047, C. Castro y E. Zuazua. pdf

Une remarque sur les séries de Fourier non-harmoniques et son application à la contrôlabilité des cordes avec densité singulière
C. R. Acad. Sci. Paris, 323 (1996) Serie I Mathematiques, 365-370, C. Castro y E. Zuazua. pdf

Subpáginas (1): Informática
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