ADAPTIVE GRID REFINEMENT USING THE GENERALISED FINITE-DIFFERENCE METHOD

buckling of viscoelastic composite plates using the finite strip method

در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....

The Finite Difference Based Fast Adaptive Composite Grid Method

The fast adaptive composite grid (FAC) method is an iterative method for solving discrete boundary value problems on composite grids. McCormick introduced the method in [10J and considered the convergence behaviour for discrete problems resulting from finite volume element discretiza-tion on composite grids. In this paper we consider discrete problems resulting from finite difference discretiza...

Adaptive boundaryless finite-difference method.

The boundaryless beam propagation method uses a mapping function to transform the infinite real space into a finite-size computational domain [Opt. Lett.21, 4 (1996)]. This leads to a bounded field that avoids the artificial reflections produced by the computational window. However, the method suffers from frequency aliasing problems, limiting the physical region to be sampled. We propose an ad...

Adaptive Local Grid Refinement Algorithms for Finite-element Collocation

An Adaptive Local Grid Refinement Method for Nonlinear Filtering

Numerical solution of the Zakai equation usually leads to large systems of equations which have to be solved at each time step. An algorithm for the numerical approximation of the Zakai equation is presented, based on discretization schemes provided by Kushner, and by LeGland. We use an a posteriori criterion based on truncation error, to localize reenement regions. We apply the fast adaptive c...