Domain decomposition and multiphysics problems



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.

On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations;
    Appl. Numer. Math. 2, 1986, 243-256; with R. Nicolaides.

Analysis, approximation, and computation of a coupled solid/fluid temperature control problem;
    Comput. Methods Appl. Mech. Engng. 118 1994, 133-152; with H.-C. Lee.

An optimization based domain decomposition method for partial differential equations;
    Comp. Math. Appl. 37, Issue 10, 1999, 77-93; with H.-K. Lee and J. Peterson.
(Alternative pdf link)

Solution of elliptic partial differential equations by an optimization-based domain decomposition method;
    Appl. Math. Comp. 113, 2000, 111-139; with M. Heinkenschloss and H.-K. Lee.
(Alternative pdf link)

A domain decomposition method for optimization problems for partial differential equations;
    Comput. Math. Appl. 40, 2000, 177-192; with J. Lee.
(Alternative pdf link)

Optimization-based methods for multidisciplinary simulation and optimization; in
    Proc. 8th Annual Conference of the CFD Society of Canada, CERCA, Montreal, 2000, 689-694; with Q. Du and J. Lee.

A gradient method approach to optimization-based multidisciplinary simulations and nonoverlapping domain decomposition algorithms
SIAM J. Numer. Anal. 37, 2000, 1513-1541; with Q. Du.
(Alternative pdf link)

Analysis of a linear fluid-structure interaction problem ;
    Disc. Cont. Dyn. Sys. 9 2003, 633-650; with Q. Du, L. Hou, and J. Lee.
(Alternative pdf link)

Semidiscrete finite element approximations of a model for the interactions of a Stokes fluid and a linear elastic solid;
    SIAM J. Numer. Anal. 42 2004, 1-29; with Q. Du, L. Hou, and J. Lee.
(Alternative pdf link)


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