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Lemniscatas 3DLemniscatas 3D
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2002)
Discrete gradient flows for shape optimization and applications
(Elsevier Science Sa, 2007-08)
We present a variational framework for shape optimization problems that establishes clear and explicit connections among the continuous formulation, its full discretization and the resulting linear algebraic systems. Our ...
Stability of numerical schemes on staggered grids
(JOHN WILEY & SONS LTD, 2008)
This paper considers the stability of explicit, implicit and Crank-Nicolson schemes for the one-dimensional heat equation on a staggered grid. Furthemore, we consider the cases when both explicit and implicit approximations ...
Flow behaviour over a 2D body using the moving particle semi-implicit method with free surface stabilisation
(Springer-Verlag France, 2017-08-01)
The Moving Particle Semi-implicit (MPS) method is a Lagrangian particle method based on the prediction-correction calculation of the velocity field and the Helmhotz-Hodge decomposition. Initially the predicted velocity is ...
Flow behaviour over a 2D body using the moving particle semi-implicit method with free surface stabilisation
(Springer-Verlag France, 2017-08-01)
The Moving Particle Semi-implicit (MPS) method is a Lagrangian particle method based on the prediction-correction calculation of the velocity field and the Helmhotz-Hodge decomposition. Initially the predicted velocity is ...
A Robust, Fully Adaptive Hybrid Level-Set/Front-Tracking Method for Two-Phase Flows with an Accurate Surface Tension Computation
(GLOBAL SCIENCE PRESS, 2010)
We present a variable time step, fully adaptive in space, hybrid method for the accurate simulation of incompressible two-phase flows in the presence of surface tension in two dimensions. The method is based on the hybrid ...
A complete and non-overlapping tracing algorithm for closed loops
(Elsevier Science BvAmsterdamHolanda, 2005)
INDEX OF AN IMPLICIT DIFFERENTIAL EQUATION
(UNIV AUTONOMA BARCELONA, 2010)
In this paper we introduce the concept of the index of an implicit differential equation F(x,y,p) = 0, where F is a smooth function, p = dy/dx, F(p) = 0 and F(pp) = 0 at an isolated singular point. We also apply the results ...