Results 31 to 40 of about 101 (99)

Analysis of Least Squares Finite Element Methods for the Stokes Equations

open access: yes, 1994
In this paper we consider the application of least-squares principles to the approximate solution of the Stokes equations cast into a first-order velocity-vorticity-pressure system. Among the most attractive features of the resulting methods are that the
Max D. Gunzburger, Pavel B. Bochev
core   +1 more source

On the stability of meshless symmetric collocation for boundary value problems

open access: yes, 2007
In this paper, we study the stability of symmetric collocation methods for boundary value problems using certain positive definite kernels. We derive lower bounds on the smallest eigenvalue of the associated collocation matrix in terms of the separation ...
Holger Wendland (16057514)   +1 more
core  

Convergence analysis of pseudo-transient continuation

open access: yes, 1998
. Pseudo-transient continuation ( tc) is a well-known and physically motivated technique for computation of steady-state solutions of time-dependent partial dierential equations.
David, C. T. Kelley, E. Keyes
core  

An Efficient Iterative Method for Stokes and Lamé Equations for Nearly Incompressible Media with Highly Discontinuous Coefficients

open access: yes, 2007
. We consider an efficient iterative solution technique for the isotropic linear elasticity (Lam'e) equations for nearly incompressible media and Stokes equations with highly discontinuous coefficients. The iterative method involves a special choice
A. V. Knyazev   +2 more
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Unconditionally Stable Finite Difference Scheme and Iterative Solution of 2D Microscale Heat Transport Equation

open access: yes, 2000
A two dimensional time dependent heat transport equation at the microscale is derived. A second order finite difference scheme in both time and space is introduced and the unconditional stability of the finite difference scheme is proved. A computational
Jun Zhang, Jennifer J. Zhao
core  

Computable convergence bounds for GMRES

open access: yes, 1998
The main purpose of this paper is the derivation of computable bounds on the residual norms of (full) GMRES. The new bounds depend on the initial guess and thus are conceptually different from standard 'worst-case' bounds. The analysis is valid
Jörg Liesen
core  

Numerical Computation of Solitary Waves on Infinite Cylinders

open access: yes, 1998
The numerical computation of solitary waves to semilinear elliptic equations in infinite cylinders is investigated. Rather than solving on the infinite cylinder, the equation is approximated by a boundary-value problem on a finite cylinder.
Bjorn Sandstede   +4 more
core  

Convergence Analysis Of Pseudo-Transient Continuation

open access: yes, 1997
. Pseudo-transient continuation (\Psitc) is a well-known and physically motivated technique for computation of steady-state solutions of time-dependent partial differential equations.
David, David E. Keyes, C. T. Kelley
core  

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