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Pinelli, Alfredo ; Couzy, W. ; Deville, M. O. ; Benocci, C. | Society for Industrial and Applied Mathematics | 1996A new Chebyshev collocation algorithm is proposed for the iterative solution of advection-diffusion problems. The main features of the method lie in the original way in which a finite-difference preconditioner is built and in the fact that the s[...]texto impreso
Conca Rosende, Carlos ; Orive, R. ; Vanninathan, Muthusamy | Society for Industrial and Applied Mathematics | 2002-04-11The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in this paper. As is well known, the homogenization process in a classical framework is concerned with the study of asymptotic [...]texto impreso
We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling[...]texto impreso
Rodríguez Bernal, Aníbal ; Van Vleck, Erik S. | Society for Industrial and Applied Mathematics | 1998-08The dynamics of a closed loop thermosyphon are considered. The model assumes a prescribed heat flux along the loop wall and the contribution of axial diffusion. The well-posedness of the model which consists of a coupled ODE and PDE is shown for[...]texto impreso
Pipkin, Allen C. ; Sánchez de los Reyes, Víctor Manuel | Society for Industrial and Applied Mathematics | 1974-01The theory of plane deformations of ideal fiber-reinforced composites involves hyperbolic equations, but boundary data are specified as in elliptic problems. When the surface tractions are given at every boundary point of a plane region, and thu[...]texto impreso
Cano Urdiales, Begoña ; Moreta Santos, María Jesus | Society for Industrial and Applied Mathematics | 2018In this paper a technique is suggested to integrate linear initial boundary value problems with exponential quadrature rules in such a way that the order in time is as high as possible. A thorough error analysis is given both for the classical a[...]texto impreso
We study the insensitizing controllability property of the 1?d wave equation observed in some open set in two cases, when the control acts in an interior region and when it acts on the boundary. In both cases, when the control time is sufficient[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Lazzo, M. ; Schmidt, Paul G. | Society for Industrial and Applied Mathematics | 2005This paper is concerned with the elliptic system (0.1) Delta upsilon=phi, Delta phi=vertical bar del upsilon vertical bar(2) posed in a bounded domain Omega subset of R-N, N is an element of N. Specifically, we are interested in the existence an[...]texto impreso
We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes equations in R(n), n greater than or equal to 2. By combining estimates obtained from the integral equation with a scaling technique, we prove th[...]texto impreso
We analyze singular perturbations in elliptic equations, subjected to various boundary conditions, in which the diffusion is going to infinity in localized regions inside the domain and therefore solutions undergo a localized spatial homogenizat[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Stakgold, Ivar | Society for Industrial and Applied Mathematics | 1995-03When a diffusing gas reacts isothermally with an immobile solid phase, the resulting equations form a semilinear system consisting of a parabolic partial differential equation for the gas concentration coupled with an ordinary differential equat[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Stakgold, Ivar | Society for Industrial and Applied Mathematics | 1995-03When a diffusing gas reacts isothermally with an immobile solid phase, the resulting equations form a semilinear system consisting of a parabolic partial differential equation for the gas concentration coupled with an ordinary differential equat[...]texto impreso
Infante del Río, Juan Antonio ; Bermejo, R. | Society for Industrial and Applied Mathematics | 2000-05We introduce a full approximation storage (FAS) multigrid algorithm to find the finite element solution for a class of nonlinear monotone elliptic problems. Since the solution of the problem is equivalent to minimize a strictly convex functional[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Calvo, N. ; Durany, J. ; Schiavi, E. ; Vázquez, C. | Society for Industrial and Applied Mathematics | 2002This paper deals with the weak formulation of a free (moving) boundary problem arising in theoretical glaciology. Considering shallow ice sheet flow, we present the mathematical analysis and the numerical solution of the second order nonlinear d[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; De Thelin, Francois | Society for Industrial and Applied Mathematics | 1994This paper studies the Cauchy-Dirichlet problem associated with the equation b(u)t - div (\del u - K (b(u)) e\p-2 (del u - K (b(u))e)) + g (x, u) = f (t, x). This problem arises in the study of some turbulent regimes: flows of incompressible tur[...]
