Implicit boundary methodMicromechanical analysisStructured grid analysisExtended finite element method (X-FEM)A method that uses a structured grid to perform micromechanical analysis for determining effective properties of a composite microstructure is presented. This approach eliminates the need for ...
A method of boundary estimation from 3D scattered point data has been proposed. For estimating a boundary, the implicit function-based method and the Delaunay tetrahedralization are mainly used in the proposed method. An advantage of the proposed method is that point coordinates are only required ...
This paper presents the numerical solution of the space fractional heat conduction equation with Neumann and Robin boundary conditions. In described equation the Riemann-Liouville fractional derivative is used. Considered model is solved by using the implicit finite difference method. The paper also...
Slip and No-Slip Boundary Treatment for Particle Simulation Model with Incompatible Step-Shaped Boundaries by Using a Virtual Maker Particle method such as Smoothed Particle Hydrodynamics (SPH) and Moving Particle Semi-implicit method (MPS) can handle quite complicated physical problems... M Asai,K ...
An implicit finite difference method is developed for a one-dimensional fractional percolation equation(FPE) with the Dirichlet and fractional boundary conditions.The stability and convergence are discussed for two special cases, i.e., a continued seepage flow with a monotone percolation coefficient and...
In this paper, we develop an implicit finite difference method for fractional advection-dispersion equations with fractional derivative boundary conditions. First-order consistency, solvability, unconditional stability, and first-order convergence of the method are proven. Then, we present a fast iterative...
Virtual batch normalization Batch normalization greatly improves optimization ofneural networks, and was shown to be highly effective for DCGANs. However, it causes the output of a neural network for an input example x to be highly dependent on several other inputs x′ in the same minibatch. To...
In this paper, we develop a high order finite difference boundary treatment method for the implicit-explicit (IMEX) Runge-Kutta (RK) schemes solving hyperbolic systems with possibly stiff source terms on a Cartesian mesh. The main challenge is how to obtain the solutions at ghost points ...
A novel implicit second-order accurate immersed boundary method (IBM) for simulating the flow around arbitrary stationary bodies is developed, implemented and validated in this paper. The IBM is used to efficiently take into account the existence of bodies within the fluid domain. The flow domain ...
On the convergence of a finite difference method for a class of singular two point boundary value problems A simple method based on uniform mesh for the singular two point boundary value problem is described and is shown to be of order h 2-convergent under quite... RK Pandey - 《Internation...