Now showing items 1-5 of 5
On the Lawrence-Doniach and Anisotropic Ginzburg-Landau models for layered superconductors
(Siam Publications, 1995-02)
The authors consider two models, the Lawrence-Doniach and the anisotropic Ginzburg-Landau models for layered superconductors such as the recently discovered high-temperature superconductors. A mathematical description of ...
On efficient solutions to the continuous sensitivity equation using automatic differentiation
(Siam Publications, 2000-06)
Shape sensitivity analysis is a tool that provides quantitative information about the influence of shape parameter changes on the solution of a partial differential equation (PDE). These shape sensitivities are described ...
Inexact Kleinman-Newton method for Riccati equations
(Siam Publications, 2009-03)
In this paper we consider the numerical solution of the algebraic Riccati equation using Newton's method. We propose an inexact variant which allows one control the number of the inner iterates used in an iterative solver ...
Issues related to least-squares finite element methods for the stokes equations
(Siam Publications, 1998-10)
Least-squares finite element methods have become increasingly popular for the approximate solution of first-order systems of partial differential equations. Here, after a brief review of some existing theories, a number ...
Mesh independence of Kleinman-Newton iterations for Riccati equations in Hilbert space
(Siam Publications, 2008)
In this paper we consider the convergence of the infinite dimensional version of the Kleinman-Newton algorithm for solving the algebraic Riccati operator equation associated with the linear quadratic regulator problem in ...