An efficient direct solver for a class of mixed finite element problems

B. M. Brown, P. K. Jimack, M. D. Mihajlović

    Research output: Contribution to journalArticlepeer-review


    In this paper we present an efficient, accurate and parallelizable direct method for the solution of the (indefinite) linear algebraic systems that arise in the solution of fourth-order partial differential equations (PDEs) using mixed finite element approximations. The method is intended particularly for use when multiple right-hand sides occur, and when high accuracy is required in these solutions. The algorithm is described in some detail and its performance is illustrated through the numerical solution of a biharmonic eigenvalue problem where the smallest eigenpair is approximated using inverse iteration after discretization via the Ciarlet-Raviart mixed finite element method. © 2001 IMACS.
    Original languageEnglish
    Pages (from-to)1-20
    Number of pages19
    JournalApplied Numerical Mathematics
    Issue number1-2
    Publication statusPublished - Jul 2001


    • Biharmonic eigenproblem
    • Mixed finite element method
    • Sparse Gaussian elimination


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