Now showing items 1-10 of 37
Extending the Farkas Lemma Approach to Necessity Conditions to Infinite Programming
Under mild assumptions, the classical Farkas lemma approach to Lagrange multiplier theory is extended to an infinite programming formulation. The main result generalizes the usual first-order necessity conditions to address ...
Analysis of Explicit/Implicit, Block Centered Finite Difference Domain Decomposition Procedures for Parabolic Problems
Domain decomposition procedures for solving parabolic equations are considered. The underlying discretization is block-centered finite differences. In this procedures, fluxes at subdomain interfaces are calculated from the ...
Successive Element Correction Algorithms for Sparse Unconstrained Optimization
This paper presents a successive element correction algorithm and a secant modification of this algorithm. The new algorithms are designed to use the gradient evaluations as efficiently as possible in forming the approximate ...
Steady State Couette Flow
An exact solution is found for a non-linear problem with thermomechanical coupling, the steady flow of a fluid with viscosity exponentially dependent on temperature, which is sheared between an adiabatic, fixed, inner ...
Column-Secant Update Technique for Solving Systems of Nonlinear Equations
This paper presents a QR update implementation of the successive column correction (SCC) method and a column-secant modification of the SCC method, which is called the CSSCC method. The computational cost of the QR update ...
Conventions for Using PIERS
Sizing the BFGS and DFP Updates: A Numerical Study
In this study we develop and test a strategy for selectively sizing (multiplying by an appropriate scalar) the approximate Hessian matrix before it is updated in the BFGS and DFP trust-region methods for unconstrained ...
Simulation of Flow in Root-Soil Systems
In this paper we develop a mathematical model of a root-soil system, and also accurate and efficient finite element and finite difference algorithms for approximating this model. The goal of our work is to develop an ...