Now showing items 1-10 of 37
Conventions for Using PIERS
Gravitational Forces in Dual-Porosity Models of Single Phase Flow
A dual porosity model is derived by the normal theory of homogenization. The model properly incorporates gravity in that it respects the equilibrium states of the medium.
Segmented Data Files: An I/O Standard
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 ...
Time-Split Methods for Advective Flow Problems in Multidimensions Based on Combining Godunov-Type Procedures with a Mixed Finite Element Method
Time-split methods for multidimensional advection-diffusion equations are considered. In these methods, advection is approximated by a Godunov-type procedure, and diffusion is approximated by a low order mixed finite element ...
A Study of Indicators for Identifying Zero Variables in Interior-Point Methods
The ability to identify zero variables early on in an iterative method is of considerable value and can be used to computational advantage. In this work we first give a formal presentation of the notion of indicators for ...
Trace Regularity for a Second Order Hyperbolic Equation with Nonsmooth Coefficients
In this research, a trace regularity theorem on a time like surface is proved for the solution of a multidimensional linear acoustic wave equation with nonsmooth coefficients. Our theorem indicates that with microlocal ...