Least-squares finite element methods



On least squares approximations to indefinite problems of the mixed type;
    Internat. J. Numer. Methods Engng. 12, 1978, 453-469; with G. Fix.

On finite element methods of the least squares type ;
    Comput. Math. Appl. 5, 1979, 87-98; with G. Fix and R. Nicolaides.

A least squares finite element scheme for transonic flow around harmonically oscillating airfoils;
    J. Comp. Phys. 51, 1983, 387-403; with C. Cox and G. Fix.

A finite element method for first order elliptic systems in three dimensions;
    Applied Math. Comput. 23, 1987, 171-184; with C. Chang.

A subdomain Galerkin/least squares method for first order elliptic systems in the plane;
    SIAM J. Numer. Anal. 27, 1990, 1197-1211; with C. Chang.
(Alternative pdf link)

A least-squares finite element method for the Navier-Stokes equations;
    Appl. Math. Lett. 6 1993, 27-30; with P. Bochev.

The accuracy of least-squares methods for the Navier-Stokes equations;
    Comput. Fluids 22 1993, 549-563; with P. Bochev.

Analysis of weighted least-squares finite element methods for the the Navier-Stokes equations;
    Proc. 14th IMACS World Congress on Computational and Applied Mathematics, Georgia Tech, Atlanta, 1994, 584-587; with P. Bochev.

Analysis of least-squares finite element methods for the Stokes equations;
    Math. Comp. 63, 1994, 479-506; with P. Bochev.
(Alternative pdf link)

Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations;
    Comput. Methods Appl. Mech. Engng. 126 1995, 267-287; with P. Bochev.
(Alternative pdf link)

Least squares finite element methods for viscous, incompressible flows;
    Proc. Fluids Engineering Division Summer Meeting, FEDSM97-3487, ASME; with P. Bochev.

Least-squares finite element approximations to solutions of interface problems;
    SIAM J. Numer. Anal 35, 1998, 393-405; with Y. Cao.
(Alternative pdf link)

Issues related to least-squares finite element methods for the Stokes problem;
    SIAM J. Sci. Comput. 20, 1998, 878-906; with J. Deang.
(Alternative pdf link)

Finite element methods of least squares type;
    SIAM Review 40, 1998, 789-837; with P. Bochev.
(Alternative pdf link)

A penalty/least-squares method for optimal control problems for first-order elliptic systems;
    Appl. Math. Comp. 107, 2000, 57-75; with H.-C. Lee.
(Alternative pdf link)

Least-squares finite element methods for optimization and control problems for the Stokes equations;
    Comp. Math. Appl.48 2004, 1035-1057; with P. Bochev.
(Alternative pdf link)

On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles;
    SIAM J. Numer. Anal. 43 2005, 340-362; with P. Bochev.
(Alternative pdf link)

Least-squares finite element methods for optimality systems arising in optimization and control problems;
    SIAM J. Numer. Anal. 43 2006, 2517-2543; with P. Bochev.
(Alternative pdf link)

On least-squares variational principles for the discretization of optimization and control problems
    Meth. Appl. Anal. Vol. 12, No. 4, pp. 395–426, December 2005; with P. Bochev.
(Alternative pdf link)

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