Now showing items 1-10 of 28
A Domain Decomposition Method for the Acoustic Wave Equation Allowing for Discontinuous Coefficients and Grid Change
A domain decomposition technique is proposed for the computation of the acoustic wave equation, in which the bulk modulus and density fields are allowed to be discontinuous at the interfaces. Inside each subdomain, the ...
RUF 1.0 User Manual
An Efficient Postprocessor for Velocities from Mixed Methods on Triangular Elements
Certain finite difference methods on rectangular grids for second order elliptic equations are known to yield superconvergent flux approximations. A class of related finite difference methods have recently been defined for ...
Numerical Simulation and Optimal Shape for Viscous Flow by a Fictitious Domain Method
In this article we discuss the fictitious domain solution of the Navier-Stokes equations modelling unsteady incompressible viscous flow. The method is based on a Lagrange multiplier treatment of the boundary conditions to ...
On the Characterization of Q-Superlinear Convergence of Quasi-Newton Interior-Point Methods for Nonlinear Programming
In this paper we extend the well-known Boggs-Tolle-Wang characterization of Q-superlinear convergence for quasi-Newton methods for equality constrained optimization to quasi-Newton interior-point methods for nonlinear ...
The Solution of the Metric STRESS and SSTRESS Problems in Multidimensional Scaling Using Newton's Method
This paper considers numerical algorithms for finding local minimizers of metric multidimensional scaling problems. The two most common optimality criteria (STRESS and SSTRESS) are considered, the leading algorithms for ...
A Spectral Preconditioner for Control Problems Associated with Linear Evolution Equations
We introduce a spectral preconditioner for control problems associated with first-order temporary evolution equations involving an elliptic, selfadjoint operator. Condition number estimates are derived, and we describe in ...
On the Construction of Strong Complementarity Slackness for DEA Linear Programming Problems Using a Primal-Dual Interior-Point Method
A novel approach for solving the DEA linear programming problems using a primal-dual interior-point method is presented. The solution found by this method satisfies the Strong Complementarity Slackness Condition (SCSC) and ...
Trust-Region Interior-Point SQP Algorithms for a Class of Nonlinear Programming Problems
In this paper a family of trust-region interior-point SQP algorithms for the solution of minimization problems with nonlinear equality constraints and simple bounds on some of the variables is described and analyzed. Such ...
Large Time Asymptotics in Contaminant Transport in Porous Media
In this paper we derive large time solutions of the partial differential equations modelling contaminant transport in porous media for initial data with bounded support. While the main emphasis is on two space dimensions, ...