Publications

Barrett, Richard F.; Heroux, Michael A.; Lin, Paul L.; Vaughan, Courtenay T.; Williams, Alan B.

Abstract not provided.

International Journal for Numerical Methods in Engineering

Lin, Paul L.

Abstract not provided.

Rajan, Mahesh R.; Vaughan, Courtenay T.; Barrett, Richard F.; Doerfler, Douglas W.; Lin, Paul L.; Pedretti, Kevin P.; Hemmert, Karl S.

Abstract not provided.

Rajan, Mahesh R.; Vaughan, Courtenay T.; Doerfler, Douglas W.; Lin, Paul L.; Pedretti, Kevin P.; Hemmert, Karl S.

Abstract not provided.

Lin, Paul L.; Shadid, John N.

Abstract not provided.

Lin, Paul L.

Abstract not provided.

Lin, Paul L.; Shadid, John N.

Abstract not provided.

Rajan, Mahesh R.; Vaughan, Courtenay T.; Doerfler, Douglas W.; Lin, Paul L.; Pedretti, Kevin P.

Abstract not provided.

Rajan, Mahesh R.; Vaughan, Courtenay T.; Doerfler, Douglas W.; Lin, Paul L.; Pedretti, Kevin P.; Barrett, Richard F.; Hemmert, Karl S.

Abstract not provided.

Lin, Paul L.

Abstract not provided.

Lin, Paul L.; Shadid, John N.

Abstract not provided.

Lin, Paul L.; Shadid, John N.

Abstract not provided.

Lin, Paul L.

Abstract not provided.

Lin, Paul L.; Shadid, John N.

Abstract not provided.

Lin, Paul L.; Shadid, John N.

Abstract not provided.

Bochev, Pavel B.; Hu, Jonathan J.; Siefert, Christopher S.; Shadid, John N.; Lin, Paul L.

Abstract not provided.

Hennigan, Gary L.; Castro, Joseph P.; Lin, Paul L.

Abstract not provided.

Lin, Paul L.; Shadid, John N.; Hoekstra, Robert J.; Hennigan, Gary L.

Abstract not provided.

Lin, Paul L.

Abstract not provided.

Lin, Paul L.; Shadid, John N.; Hoekstra, Robert J.; Hennigan, Gary L.

Abstract not provided.

Lecture Notes in Computational Science and Engineering

Sala, Marzio; Lin, Paul L.; Shadid, John N.; Tuminaro, Raymond S.

We report on algebraic multilevel preconditioners for the parallel solution of linear systems arising from a Newton procedure applied to the finite-element (FE) discretization of the incompressible Navier-Stokes equations. We focus on the issue of how to coarsen FE operators produced from high aspect ratio elements.

Proposed for publication in Computer Methods in Applied Mechanics and Engineering.

Shadid, John N.; Salinger, Andrew G.; Pawlowski, Roger P.; Lin, Paul L.; Hennigan, Gary L.; Tuminaro, Raymond S.; Lehoucq, Richard B.

The solution of the governing steady transport equations for momentum, heat and mass transfer in fluids undergoing non-equilibrium chemical reactions can be extremely challenging. The difficulties arise from both the complexity of the nonlinear solution behavior as well as the nonlinear, coupled, non-symmetric nature of the system of algebraic equations that results from spatial discretization of the PDEs. In this paper, we briefly review progress on developing a stabilized finite element (FE) capability for numerical solution of these challenging problems. The discussion considers the stabilized FE formulation for the low Mach number Navier-Stokes equations with heat and mass transport with non-equilibrium chemical reactions, and the solution methods necessary for detailed analysis of these complex systems. The solution algorithms include robust nonlinear and linear solution schemes, parameter continuation methods, and linear stability analysis techniques. Our discussion considers computational efficiency, scalability, and some implementation issues of the solution methods. Computational results are presented for a CFD benchmark problem as well as for a number of large-scale, 2D and 3D, engineering transport/reaction applications.

Proposed for publication in Computation Methods in Applied Mechanics and Engineering.

Shadid, John N.; Salinger, Andrew G.; Pawlowski, Roger P.; Lin, Paul L.; Hennigan, Gary L.; Tuminaro, Raymond S.; Lehoucq, Richard B.

The solution of the governing steady transport equations for momentum, heat and mass transfer in fluids undergoing non-equilibrium chemical reactions can be extremely challenging. The difficulties arise from both the complexity of the nonlinear solution behavior as well as the nonlinear, coupled, non-symmetric nature of the system of algebraic equations that results from spatial discretization of the PDEs. In this paper, we briefly review progress on developing a stabilized finite element ( FE) capability for numerical solution of these challenging problems. The discussion considers the stabilized FE formulation for the low Mach number Navier-Stokes equations with heat and mass transport with non-equilibrium chemical reactions, and the solution methods necessary for detailed analysis of these complex systems. The solution algorithms include robust nonlinear and linear solution schemes, parameter continuation methods, and linear stability analysis techniques. Our discussion considers computational efficiency, scalability, and some implementation issues of the solution methods. Computational results are presented for a CFD benchmark problem as well as for a number of large-scale, 2D and 3D, engineering transport/reaction applications.

Lin, Paul L.; Sala, Marzio S.; Shadid, John N.; Tuminaro, Raymond S.

Abstract not provided.

Proposed for publication in Journal of Computational Physics.

Shadid, John N.; Tuminaro, Raymond S.; Devine, Karen D.; Hennigan, Gary L.; Lin, Paul L.

Abstract not provided.