STABILIZED FINITE DIFFERENCE METHODS FOR THE FULLY DYNAMIC BIOT'S PROBLEM

Finite - Difference Methods and the Eigenvalue Problem for Nonselfadjoint

In this paper we analyze the convergence of a centered finite-difference approximation to the nonselfadjoint Sturm-Liouville eigenvalue problem 2[u\ = [a(x) u'Y b{x)u' + c(x)u = \u, 0 < x < 1, ( } «(0) = u(l) = 0 where S has smooth coefficients and a(x) ï a« > 0 on [0, 1]. We show that the rate of convergence is 0(Az2) as in the selfadjoint case for a scheme of the same accuracy. We also establ...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Stabilized Finite Element Methods

We give a brief overview of stabilized finite element methods and illustrate the developments applied to the advection-diffusion equation.

On the Error Analysis of Stabilized Finite Element Methods for the Stokes Problem

On stabilized finite element methods for the Stokes problem in the small time step limit

Recent studies indicate that consistently stabilized methods for unsteady incompressible flows, obtained by a method of lines approach may experience difficulty when the time step is small relative to the spatial grid size. Using as a model problem the unsteady Stokes equations, we show that the semi-discrete pressure operator associated with such methods is not uniformly coercive. We prove tha...