Computational fluids



On numerical methods for acoustics problems;
    Comput. Math. Appl. 6, 1980, 265-278; with G. Fix.

Mixed finite element methods for acoustics and flow problems;
    Proc. AIAA 5-th Computational Fluid Dynamics Conference {AIAA CP814}, AIAA, 1981, 265-271; with G. Fix, R. Nicolaides and J. Peterson.

On conforming finite element methods for incompressible viscous flow problems;
    Comput. Math. Appl. 8, 1982, 167-179; with R. Nicolaides and J. Peterson.

A finite element method for diffusion dominated unsteady viscous flows;
    Comput. Methods Appl. Mech. Engng. 39, 1983, 55-67; with C. Liu and R. Nicolaides.

New discretization and solution techniques for incompressible viscous flow problems;
    Proc. AIAA 6-th Computational Fluid Dynamics Conference {AIAA CP834}, AIAA, 1983, 665-671; with C. Liu and R. Nicolaides.

On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations;
    Numer. Math. 42, 1983, 173-194; with J. Peterson.

On the approximation of the exterior Stokes problem in three dimensions;
    Proc. 5-th International Symposium on Finite Elements and Flow Problems; U. of Texas at Austin, 1984, 149-154; with G. Guirguis.

On the finite element approximation of the streamfunction-vorticity equations;
    Advances in Computer Methods for Partial Differential Equations {V}, IMACS, 1984, 47-56; with J. Peterson.

Some aspects of finite element approximations of incompressible viscous flows;
    Computational Methods in Viscous Flows, Pineridge, 1984, 173-189; with R. Nicolaides.

Issues in the implementation of substructuring algorithms for the Navier-Stokes equations;
    Advances in Computer Methods for Partial Differential Equations {V}, IMACS, 1984, 57-63; with R. Nicolaides.

Algorithmic and theoretical results on computation of incompressible viscous flows by finite element methods;
    Comput. Fluids 13, 1985, 361-373; with C. Liu and R. Nicolaides.

Finite element methods for a Ladyzhenskaya model of incompressible viscous flow;
    Numerical Methods in Laminar and Turbulent Flow V, Pineridge, 1987, 161-169; with Q. Du.

Finite element methods for vorticity formulations of incompressible viscous flows;
    Numerical Methods in Laminar and Turbulent Flow V, Pineridge, 1987, 170-181; with J. Peterson.

On the approximation of the exterior Stokes problem in three dimensions;
    Math. Model. Numer. Anal. 21, 1987, 445-464; with G. Guirguis.

Finite element methods for the streamfunction-vorticity equations: boundary condition treatments and multiply connected domains;
    SIAM J. Scient. Stat. Comput. 9, 1988, 650-668; with J. Peterson.

An analysis of approximations for an algebraic model of turbulence;
    Comput. Math. Appl. 15, 1988, 945-951; with J. Turner.

Mathematical aspects of finite element methods for incompressible viscous flows;
    Finite Elements: Theory and Practice, Springer, 1988, 124-150.

On finite element approximations of the streamfunction-vorticity and velocity-vorticity equations;
    Intern. J. Numer. Meth. Fluids  8, 1988, 1229-1240; with J. Peterson.

Iterative penalty methods for the Stokes and Navier-Stokes equations;
    Finite Element Analysis in Fluids, University of Alabama, Huntsville, 1989, 1040-1045.

Finite element approximations of a Ladyzhenskaya model for stationary incompressible viscous flow;
    SIAM J. Numer. Anal. 27, 1990, 1-19; with Q. Du.
(Alternative pdf link)

Experiences with computational methods for the velocity-vorticity formulation of incompressible viscous flow;
    Computational Methods in Viscous Aerodynamics, Elsevier, 1990, 231-271; with M. Mundt and J. Peterson.

On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics;
    Math. Comp. 56, 1991, 523-563; with A. Meir and J. Peterson.

Predictor and steplength selection in continuation methods for the Navier-Stokes equations;
    Comput. Math. Appl. 22, Issue 8, 1991, 73-81; with J. Peterson.

Vorticity constraints in velocity-vorticity formulations of steady, viscous, incompressible flow;
    Numerical Methods in Laminar and Turbulent Flow VII, Pineridge, 1991, 774-781; with Q. Du and A. Meir.

Numerical solution of the boundary layer equations using the finite element method;
    Advances in Finite Element Analysis in Fluid Mechanics FED-123, ASME, 1991, 29-38; with E. Hytopoulos and J. Schetz.

Numerical solution of the compressible boundary layer equations using the finite element method; AIAA Paper AIAA-92-0666, AIAA, Washington, 1992 [Also appeared in  AIAA J. 31 1993, 6-7]; with E. Hytopoulos and J. Schetz.

Numerical solution of the incompressible boundary layer equations using the finite element method;
    J. Fluids Engng. 114 1992, 504-511; with E. Hytopoulos and J. Schetz.

Navier-Stokes equations for incompressible flows: finite element methods;
    Handbook on Computational Fluid Mechanics, Academic, Boston, 1996, 99-157.

Analysis of some boundary value problems for Stokes flows;
    Kyungpook Math. J. 35, 1996, 501-512; with H.-C. Lee.

An optimization-based domain decomposition method for the Navier-Stokes equations;
    SIAM J. Numer. Anal. 37, 2000, 1455-1480; with H.-K. Lee.
(Alternative pdf link)

The inf-sup condition in mixed finite element methods with application to the Stokes system; in
    Collected Lectures on the Preservation of Stability Under Discretization, SIAM, Philadelphia, 2002, 93-121.

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