Search Results - "DOHRMANN, CLARK R."

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  1. 1

    Stabilization of Low-Order Mixed Finite Elements for the Stokes Equations by Bochev, Pavel B., Dohrmann, Clark R., Gunzburger, Max D.

    Published in SIAM journal on numerical analysis (01-01-2006)
    “…We present a new family of stabilized methods for the Stokes problem. The focus of the paper is on the lowest order velocity-pressure pairs. While not LBB…”
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    Journal Article
  2. 2

    A stabilized finite element method for the Stokes problem based on polynomial pressure projections by Dohrmann, Clark R., Bochev, Pavel B.

    “…A new stabilized finite element method for the Stokes problem is presented. The method is obtained by modification of the mixed variational equation by using…”
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    Journal Article
  3. 3

    A BDDC Algorithm with Deluxe Scaling for Three-Dimensional H(curl) Problems by Dohrmann, Clark R., Widlund, Olof B.

    “…In this paper, we present and analyze a BDDC algorithm for a class of elliptic problems in the three‐dimensional H(curl) space. Compared with existing results,…”
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    Journal Article
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    BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields by OH, DUK-SOON, WIDLUND, OLOF B., ZAMPINI, STEFANO, DOHRMANN, CLARK R.

    Published in Mathematics of computation (01-03-2018)
    “…Under the assumption that the subdomains are all built from elements of a coarse triangulation of the given domain, that the meshes of each subdomain are quasi…”
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    Journal Article
  5. 5

    Novel strategies for modal-based structural material identification by Bunting, Gregory, Miller, Scott T., Walsh, Timothy F., Dohrmann, Clark R., Aquino, Wilkins

    Published in Mechanical systems and signal processing (15-02-2021)
    “…•Modal-based methods for model calibration in structural dynamics.•Measured modal data to extract structural model parameters for complex…”
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    Journal Article
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    Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity by Dohrmann, Clark R., Widlund, Olof B.

    “…Overlapping Schwarz methods are considered for mixed finite element approximations of linear elasticity, with discontinuous pressure spaces, as well as for…”
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    Journal Article
  7. 7

    An algebraic theory for primal and dual substructuring methods by constraints by Mandel, Jan, Dohrmann, Clark R., Tezaur, Radek

    Published in Applied numerical mathematics (01-07-2005)
    “…FETI and BDD are two widely used substructuring methods for the solution of large sparse systems of linear algebraic equations arising from discretization of…”
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    Journal Article Conference Proceeding
  8. 8

    AN OVERLAPPING SCHWARZ ALGORITHM FOR ALMOST INCOMPRESSIBLE ELASTICITY by DOHRMANN, CLARK R., WIDLUND, OLOF B.

    Published in SIAM journal on numerical analysis (01-01-2009)
    “…Overlapping Schwarz methods are extended to mixed finite element approximations of linear elasticity which use discontinuous pressure spaces. The coarse…”
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    Journal Article
  9. 9

    AN ITERATIVE SUBSTRUCTURING ALGORITHM FOR TWO-DIMENSIONAL PROBLEMS IN H(CURL) by DOHRMANN, CLARK R., WIDLUND, OLOF B.

    Published in SIAM journal on numerical analysis (01-01-2012)
    “…A domain decomposition algorithm, similar to classical iterative substructuring algorithms, is presented for two-dimensional problems in the space H₀(curl; Ω)…”
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    Journal Article
  10. 10

    AN ALTERNATIVE COARSE SPACE FOR IRREGULAR SUBDOMAINS AND AN OVERLAPPING SCHWARZ ALGORITHM FOR SCALAR ELLIPTIC PROBLEMS IN THE PLANE by DOHRMANN, CLARK R., WIDLUND, OLOF B.

    Published in SIAM journal on numerical analysis (01-01-2012)
    “…In earlier work on domain decomposition methods for elliptic problems in the plane, an assumption that each subdomain is triangular or a union of a few coarse…”
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    Journal Article
  11. 11

    Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions by Dohrmann, Clark R., Klawonn, Axel, Widlund, Olof B.

    Published in SIAM journal on numerical analysis (01-01-2008)
    “…In the theory of domain decomposition methods, it is often assumed that each subdomain is the union of a small set of coarse triangles or tetrahedra. In this…”
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    Journal Article
  12. 12

    Multispace and multilevel BDDC by Mandel, Jan, Sousedík, Bedřich, Dohrmann, Clark R.

    Published in Computing (01-11-2008)
    “…The Balancing Domain Decomposition by Constraints (BDDC) method is the most advanced method from the Balancing family of iterative substructuring methods for…”
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    Journal Article
  13. 13

    Convergence of a balancing domain decomposition by constraints and energy minimization by Mandel, Jan, Dohrmann, Clark R.

    Published in Numerical linear algebra with applications (01-10-2003)
    “…A convergence theory is presented for a substructuring preconditioner based on constrained energy minimization concepts. The substructure spaces consist of…”
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    Journal Article
  14. 14

    A Computational Study of Stabilized, Low-order C 0 Finite Element Approximations of Darcy Equations by Bochev, Pavel B., Dohrmann, Clark R.

    Published in Computational mechanics (01-09-2006)
    “…We consider finite element methods for the Darcy equations that are designed to work with standard, low order C0 finite element spaces. Such spaces remain a…”
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    Journal Article
  15. 15

    Quadratic finite elements and incompressible viscous flows by Gartling, David K., Dohrmann, Clark R.

    “…Pressure stabilization methods are applied to higher-order velocity finite elements for application to viscous incompressible flows. Both a standard pressure…”
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    Journal Article
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    A parallel Helmholtz solver for acoustics and structural acoustics by Dohrmann, Clark R., Walsh, Timothy F.

    “…In this talk, we present a parallel Helmholtz solver for the solution of acoustic and structural acoustic problems in the frequency domain. The solver is based…”
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    Journal Article Conference Proceeding
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    Quadratic finite elements and incompressible viscous flows by Dohrmann, Clark R., Gartling, David K.

    “…Pressure stabilization methods are applied to higher-order velocity finite elements for application to viscous incompressible flows. Both a standard pressure…”
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    Journal Article