Carlos Manuel Castro

Profesor Titular de Universidad

Dr. CC. Matemáticas
Página personal

Contacto / Contact

Departamento de Matemáti9ca e Informática
ETS Ingenieros de Caminos, 6ª planta
e-mail: carlos.castro(a)upm.es
T.: +34 913366766

Docencia / Education

- Estadística y Optimización (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).

Investigación / Research

- Diseño óptimo de estructuras / Optimal design of structures.
- Métodos numéricos para la simulación y el control de ondas / Numerical methods for simulation and control of waves.

Publicaciones recientes / Recent publications

- Continuous adjoint approach for the Spalart-Allmaras model in aerodynamic optimization, preprint, A. Bueno-Orovio, C. Castro, F. Palacios y E. uazua.
- Numerical approximation of a one-dimensional elliptic optimal design problem, preprint, J. Casado Díaz, C. Castro, M. Luna Laynez y E. Zuazua.
- Exact controllability of the 1-d wave equation from a moving interior point, preprint, C. Castro.
- Flux identification for 1-d scalar conservation laws in the presence of shocks, aceptado en Math. of Comp., C. Castro y E. Zuazua.
- Optimal control and vanishing viscosity for the Burgers equation, en Integral Methods in Science and Engineering, Vol. 2 Computational Methods, . Constanda and M.E. Pérez Ed., Birkauser Boston, 2010, pp. 65-90, C. Castro, F. Palacios y E. Zuazua.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Optimization of nuclear fuel reloading by the homogenization method, Structural and Multidisciplinary Optimization, 24 (1), 11-22. G. Allaire y C. Castro.
- Achieving arbitrarily large decay in the damped wave equation, SIAM J. Cont. Optim., 39 (6), (2001) 1748-1755, C. Castro y S. Cox.
- 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.
- High frequency asymptotic analysis of a string with rapidly oscillating density, European J. Appl. Math., 11 595-622, (2000). C. Castro y E. Zuazua.
- Low frequency asymptotic analysis of a string with rapidly oscillating density, SIAM J. Appl. Math., 60, (2000) 1205-1233, C. Castro y E. Zuazua.
- 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.