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In this paper, the conventional level set methods are extended as an effective approach for shape and topology optimization by the introduction of the radial basis functions (RBFs). The RBF multiquadric splines are used to construct the implicit level set function with a high level of accuracy and smoothness and to discretize the original initial value(More)
Keywords: Incompressible viscous flows Piecewise constant viscosity Singular force Immersed interface method Projection method Front tracking method a b s t r a c t This paper presents an implementation of the second-order accurate immersed interface method to simulate the motion of the flexible elastic membrane immersed in two viscous incompressible fluids(More)
We present and use an algorithm based on convex conic optimization to design two-dimensional photonic crystals with large absolute band gaps. Among several illustrations we show that it is possible to design photonic crystals which exhibit multiple absolute band gaps for the combined transverse electric and magnetic modes. The optimized crystals show(More)
Keywords: Immersed boundary method Newton–Krylov method Navier–Stokes equations Membrane capsules Red blood cells a b s t r a c t We present an implicit immersed boundary method for the incompressible Navier–Stokes equations capable of handling three-dimensional membrane–fluid flow interactions. The goal of our approach is to greatly improve the time step(More)
We present an immersed interface method for solving the incompressible Navier– Stokes equations with discontinuous viscosity across the interface and singular forces. The method is based on the augmented strategy proposed by Li, Ito, and Lai [Comput. Fluids, 36 (2007), pp. 622–635] to decouple the jump conditions of the fluid variables through the(More)
Keywords: Incompressible Stokes equations Singular force Immersed interface method CG-Uzawa method Deformable interface Front tracking Irregular domains Rigid boundaries a b s t r a c t We present an immersed interface method for solving the incompressible steady Stokes equations involving fixed/moving interfaces and rigid boundaries (irregular domains).(More)
Facial Expression Recognition has increasing importance in assisting human-computer interaction issues. This paper "Emotion Recognition Using Fuzzy Rule-Based System" proposes a fuzzy method for the facial emotions recognition on still images of the face. The technique involves extracting mathematical data from some special regions of the face. The(More)
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