In this paper, we use moving mesh fintie element method based upon 4P1 − P1 element to solve the time-dependent Navier-Stokes equations in 2D. Twolayer nested meshes are used including velocity mesh and pressure mesh, and velocity mesh can be obtained by globally refining pressure mesh. We use hierarchy geometry tree to store the nested meshes. This data structure make convienence for adaptive ...

We designed and analyzed a "mesh-stack" three-dimensional photonic crystal of a 12.4% bandgap with a dielectric constant ratio of 12 : 1. The mesh-stack consists of four offset identical square-lattice air-hole patterned membranes in each vertical period that is equal to the in-plane period of the square lattice. This design is fully compatible with the membrane-stacking fabrication method, whi...

BACKGROUND The relative expression level of trefoil factor 3 (TFF3) mRNA to galectin-3 (LGALS3) mRNA (T/G ratio) is a useful marker to distinguish thyroid follicular carcinomas from adenomas. However, because of the interference by the simultaneously aspirated peripheral blood cells or infiltrating lymphocytes, the precise measurement of the T/G ratio in aspirates is difficult. METHODS We tes...

Time domain analysis of electromagnetic wave propagation is required for design and characterization of many optical and microwave devices. The FDTD method is one of the most widely used time domain methods for analysing electromagnetic scattering and radiation problems. However, due to the use of the Finite Difference grid, this method suffers from higher numerical dispersion and inaccurate di...

A new adaptive mesh movement strategy is presented, which, unlike many existing moving mesh methods, targets the mesh velocities rather than the mesh coordinates. The mesh velocities are determined in a least squares framework by using the geometric conservation law, specifying a form for the Jacobian determinant of the coordinate transformation defining the mesh, and employing a curl condition...

We develop in this paper a moving mesh spectral method for the phase-field model of twophase flows with non-periodic boundary conditions. The method is based on a variational moving mesh PDE for the phase function, coupled with efficient semi-implicit treatments for advancing the mesh function, the phase function and the velocity and pressure in a decoupled manner. Ample numerical results are p...

Mesh deformation methods are a versatile strategy for solving partial differential equations (PDEs) with a vast variety of practical applications. However, these methods break down for elliptic PDEs with discontinuous coefficients, namely, elliptic interface problems. For this class of problems, the additional interface jump conditions are required to maintain the well-posedness of the governin...

In this paper, we present a method to detect stable components on 3D meshes. A component is a region on the mesh which contains discriminative local features. Our goal is to represent a 3D mesh with a set of regions, which we called key-components, that characterize the represented object and therefore, they could be used for effective matching and recognition. As key-components are features in...

A moving mesh strategy for solving high dimensional PDEs is presented along the lines of the moving mesh PDE approach recently developed in one dimension by the authors and their co-workers. With this strategy, a moving mesh PDE is formulated from the Euler-Lagrange equation for a suitable functional using a heat equation, and the underlying physical PDE is replaced with an extended system cons...

We present a novel approach for estimating mesh saliency. Our method is fast, flexible, and easy to implement. By applying the well-known concept of Shannon entropy to 3D mesh data, we obtain an efficient method to determine mesh saliency. Comparing our method to the most recent, state-of-the-art approach, we show that results of at least similar quality can be achieved within a fraction of the...