Search Results - "Dohrmann, Clark R."

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

“…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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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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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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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.

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

“…•Modal-based methods for model calibration in structural dynamics.•Measured modal data to extract structural model parameters for complex…”
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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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An algebraic theory for primal and dual substructuring methods by constraints by Mandel, Jan, Dohrmann, Clark R., Tezaur, Radek

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

“…Overlapping Schwarz methods are extended to mixed finite element approximations of linear elasticity which use discontinuous pressure spaces. The coarse…”
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AN ITERATIVE SUBSTRUCTURING ALGORITHM FOR TWO-DIMENSIONAL PROBLEMS IN H(CURL) by DOHRMANN, CLARK R., WIDLUND, OLOF B.

“…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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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.

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

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

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

“…A convergence theory is presented for a substructuring preconditioner based on constrained energy minimization concepts. The substructure spaces consist of…”
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A Computational Study of Stabilized, Low-order C 0 Finite Element Approximations of Darcy Equations by Bochev, Pavel B., Dohrmann, Clark R.

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

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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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AN OVERLAPPING SCHWARZ ALGORITHM FOR ALMOST INCOMPRESSIBLE ELASTICITY by DOHRMANN, Clark R, WIDLUND, Olof B

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DOMAIN DECOMPOSITION FOR LESS REGULAR SUBDOMAINS: OVERLAPPING SCHWARZ IN TWO DIMENSIONS by DOHRMANN, Clark R, KLAWONN, Axel, WIDLUND, Olof B

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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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