Mixed and stabilized finite element methods



Theory and application of mixed finite element methods;
    Constructive Approaches to Mathematical Models, Academic, 1979, 375-393; with G. Fix and R. Nicolaides.

On mixed finite element methods for a class of nonlinear boundary value problems;
    Computational Methods in Nonlinear Mechanics, North-Holland, 1980, 245-260; with G. Fix and R. Nicolaides.

On mixed finite element methods for first order elliptic systems;
    Numer. Math. 37, 1981, 29-48; with G. Fix and R. Nicolaides.

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.

Mixed finite element approximations for the biharmonic equation;
    Proc. 5-th International Symposium on Finite Elements and Flow Problems, U. of Texas at Austin, 1984, 281-286; with G. Fix, R. Nicolaides and J. Peterson.

On stabilized finite element methods for transient problems with varying time scales;
    Fifth World Congress on Computational Mechanics, (CD-ROM), IACM, Vienna, 2002; with P. Bochev and J. Shadid.

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.

On inf-sup stabilized finite element methods for transient problems;
    Comp. Meth. Appl. Mech. Engrg. 193 2004, 1471-1489; with P. Bochev and J. Shadid.
(Alternative pdf link)

Stability of the SUPG finite elements for transient advection-diffusion problems;
    Comp. Meth. Appl. Mech. Engrg. 193 2004, 2301-2323; with P. Bochev and J. Shadid.
(Alternative pdf link)

A taxonomy of consistently stabilized finite element methods for the Stokes problem;
    SIAM J. Sci. Comp. 25 2004, 1585-1607; with T. Barth, P. Bochev, and J. Shadid.
(Alternative pdf link)

An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations;  
    SIAM J. Numer. Anal. 42 2004, 1189-1207; with P. Bochev. 
(Alternative pdf link)

Compatible discretizations of second-order elliptic problems;
    Zap. Nauch. Semin. POMI 318 2005, 75-99; with P. Bochev.
(Alternative pdf link)

Stabilization of low-order mixed finite elements for the Stokes equations
    SIAM J. Numer. Anal. Vol. 44, No. 1, pp. 82–101; with P. Bochev and C. Dohrmann.
(Alternative pdf link)


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