Finite element methods for hyperbolic equations



On the stability of Galerkin methods for initial-boundary value problems for hyperbolic systems;
    Math. Comp. 31, 1977, 661-675.

Energy conserving norms for the solution of hyperbolic systems of partial differential equations;
    Math. Comp. 33, 1979, 1-10; with R. Plemmons.

On the numerical boundary treatment of hyperbolic systems for finite difference and finite element methods ;
    SIAM J. Numer. Anal. 19, 1982, 671-682; with D. Gottlieb and E. Turkel.
(Alternative pdf link)

A non-standard finite element method of higher accuracy for hyperbolic systems in several space variables;
    Advances in Computer Methods for Partial Differential Equations {VI}, IMACS, 1987, 92-97; with Q. Du and W. Layton.

A low dispersion, high accuracy finite element method for first order hyperbolic systems in several space variables;
    Comput. Math. Appl. 15, 1988, 447-457; with Q. Du and W. Layton.

A finite element, multi-resolution viscosity method for hyperbolic conservation laws ;  
    SIAM J. Numer. Anal. 43 2005, 1988-2011; with M. Calhoun-Lopez.
(Alternave pdf link)


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