Now showing items 1-10 of 13
A Truncated RQ-iteration for Large Scale Eigenvalue Calculations
We introduce a new Krylov subspace iteration for large scale eigenvalue problems that is able to accelerate the convergence through an inexact (iterative) solution to a shift-invert equation. The new method can take also ...
A Study of Reactive Transport Phenomena in Porous Media
The numerical modeling of reactive transport in a porous medium has important applications in hydrology, the earth sciences and in numerous industrial processes. However, realistic simulations involving a large number of ...
The Use of Optimization Techniques in the Solution of Partial Differential Equations
Optimal Control of systems governed by Partial Differential Equations is an applications-driven area of mathematics involving the formulation and solution of minimization problems. Given a physical phenomenon described by ...
A Piecewise Linear Approach to Component Reliability Analysis
A standard intermediate step in component reliability analysis involves constructing a first-order or second-order approximation to the limit state surface at one design point. This paper looks into the possibilities for ...
An Interior Point Algorithm for the General Nonlinear Programming Problem with Trust Region Globalization
This paper attempts to develop an SQP-based interior point technique for solving the general nonlinear programming problem using trust region globalization and the Coleman-Li scaling. The SQP subproblem is decomposed into ...
Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems
This paper proposes an alternate method for finding several Pareto optimal points for a general nonlinear multicriteria optimization problem. Such points collectively capture the trade-off among the various conflicting ...
Mixed Finite Element Methods for Variably Saturated Subsurface Flow
The flow of water through variably saturated subsurface media is commonly modeled by Richards' equation, a nonlinear and possibly degenerate partial differential equation. Due to the nonlinearities, this equation is difficult ...
Taguchi and Robust Optimization
This report is intended to facilitate dialogue between engineers and optimizers about the efficiency of Taguchi methods for robust design, especially in the context of design by computer simulation. Three approaches to ...
A Closer Look at Drawbacks of Minimizing Weighted Sums of Objectives for Pareto Set Generation in Multicriteria Optimization Problems
A standard technique for generating the Pareto set in multicriteria optimization problems is to minimize (convex) weighted sums of the different objectives for various different settings of the weights. However, it is ...
I Know It When I See It: Toward a Definition of Direct Search Methods
We discuss some ambiguities associated with the phrase "direct search method" and propose a formal definition.