#### Filter Results:

#### Publication Year

1992

2013

#### Publication Type

#### Co-author

#### Key Phrase

#### Publication Venue

Learn More

Fast algorithms for the accurate evaluation of some singular integral operators that arise in the context of solving certain partial diierential equations within the unit circle in the complex plane are presented. These algorithms are generalizations and extensions of a fast algorithm of Daripa (SIAM J. They are based on some recursive relations in Fourier… (More)

A numerical method for quasiconformal mapping of doubly connected domains onto annuli is presented. The ratio R of the radii of the annulus is not known a priori and is determined as part of the solution procedure. The numerical method presented in this paper requires solving iteratively a sequence of inhomogeneous Beltrami equations, each for a diierent R.… (More)

In this paper, we extend the work of Daripa et al. [14–16,7] to a larger class of ellip-tic problems in a variety of domains. In particular, analysis-based fast algorithms to solve inhomogeneous elliptic equations of three different types in three different two-dimensional domains are derived. Dirichlet, Neumann and mixed boundary value problems are treated… (More)

- Jerrod W Hofferth, Rodney Bowersox, Prabir Daripa, Helen Reed, Edward White
- 2013

A key remaining challenge in the design of hypersonic vehicles is the incomplete understanding of the process of boundary-layer transition. Turbulent heating rates are substantially higher than those for a laminar boundary layer, and large uncertainties in common empirical transition prediction techniques therefore yield conservative designs for thermal… (More)

We propose a domain embedding method to solve second order elliptic problems in arbitrary two-dimensional domains. The method is based on formulating the problem as an optimal distributed control problem inside a disc in which the arbitrary domain is embedded. The optimal distributed control problem inside the disc is solved rapidly using a fast algorithm… (More)

We propose a domain embedding method to solve second order elliptic problems in arbitrary two-dimensional domains. This method can be easily extended to three-dimensional problems. The method is based on formulating the problem as an optimal distributed control problem inside a rectangle in which the arbitrary domain is embedded. A periodic solution of the… (More)

The mathematical foundation of an algorithm for fast and accurate evaluation of singular integral transforms was given by Daripa [9,10,12]. By construction, the algorithm offers good parallelization opportunities and a lower computational complexity when compared with methods based on quadrature rules. In this paper we develop a parallel version of the fast… (More)

A parallel version of a fast algorithm for singular integral transforms [6] is presented. The parallel version only utilizes a linear neighbor-to-neighbor communication path which makes the algorithm very scalable and suitable for any distributed memory architecture.

We consider the problem of displacement processes in a three-layer fluid in a Hele-Shaw cell modeling enhanced oil recovery processes by polymer flooding. The middle layer sandwiched between water and oil contains polymer-thickened-water. We provide lower bounds on the length of the intermediate layer and on the amount of polymer in the middle layer for… (More)