#### Filter Results:

- Full text PDF available (98)

#### Publication Year

1936

2017

- This year (3)
- Last 5 years (27)
- Last 10 years (58)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

#### Method

#### Organism

Learn More

- P. F. Fischer
- 1997

Efficient solution of the Navier-Stokes equations in complex domains is dependent upon the availability of fast solvers for sparse linear systems. For unsteady incompressible flows, the pressure operator is the leading contributor to stiffness, as the characteristic propagation speed is infinite. In the context of operator splitting formulations, it is the… (More)

Overflows are bottom gravity currents that supply dense water masses generated in high-latitude and marginal seas into the general circulation. Oceanic observations have revealed that mixing of overflows with ambient water masses takes place over small spatial and time scales. Studies with ocean general circulation models indicate that the strength of the… (More)

- James W. Lottes, Paul F. Fischer
- J. Sci. Comput.
- 2005

We study the performance of the multigrid method applied to spectral element (SE) discretizations of the Poisson and Helmholtz equations. Smoothers based on finite element (FE) discretizations, overlapping Schwarz methods, and point-Jacobi are considered in conjunction with conjugate gradient and GMRES acceleration techniques. It is found that Schwarz… (More)

- Francis Loth, Paul F Fischer, +5 authors Hisham S Bassiouny
- Journal of biomechanical engineering
- 2003

We present experimental and computational results that describe the level, distribution, and importance of velocity fluctuations within the venous anastomosis of an arteriovenous graft. The motivation of this work is to understand better the importance of biomechanical forces in the development of intimal hyperplasia within these grafts. Steady-flow in… (More)

We describe the development and implementation of an e cient spectral element code for simulating transitional ows in complex three dimensional domains Critical to this e ort is the use of ge ometrically nonconforming elements that allow localized re nement in regions of interest coupled with a stabilized high order time split formulation of the semi… (More)

- Henry M. Tufo, Paul F. Fischer
- J. Parallel Distrib. Comput.
- 2001

We develop a fast direct solver for parallel solution of “coarse grid” problems, Ax = b, such as arise when domain decomposition or multigrid methods are applied to elliptic partial differential equations in d space dimensions. The approach is based upon a (quasi-) sparse factorization of the inverse of A. If A is n×n and the number of processors is P , the… (More)

- Paul F. Fischer
- 1993

Projection techniques are developed for computing approximate solutions to linear systems of the form Ax n = b n , for a sequence n = 1; 2; :::, e.g., arising from time discretization of a partial diierential equation. The approximate solutions are based upon previous solutions, and can be used as initial guesses for iterative solution of the system,… (More)

Blood flow in end-to-side autogenous or prosthetic graft anastomoses is of great interest to biomedical researchers because the biomechanical force profile engendered by blood flow disturbances at such geometric transitions is thought to play a significant role in vascular remodeling and graft failure. Thus, investigators have extensively studied… (More)

- Qiaolin Deng, Joseph A Clemas, +8 authors Stephen A Parent
- Molecular pharmacology
- 2007

Sphingosine-1-phosphate (S1P) receptor agonists are novel immunosuppressive agents. The selectivity of S1P1 against S1P3 is strongly correlated with lymphocyte sequestration and minimum acute toxicity and bradycardia. This study describes molecular modeling, site-directed mutagenesis, and affinity studies exploring the molecular basis for selectivity… (More)

- Henry M. Tufo, Paul F. Fischer
- SC
- 1999

We describe the development and implementation of an efficient spectral element code for multimillion gridpoint simulations of incompressible flows in general twoand three-dimensional domains. Key to this effort has been the development of scalable solvers for elliptic problems and a stabilization scheme that admits full use of the method’s high-order… (More)