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Showing 161-173 of 173 results

  1. Lagrange Multiplier Based Substructuring: FETI Method

    In this chapter, we describe the FETI method (the Finite Element Tearing and Interconnecting method) [FA2, FA16, FA15, MA25, FA14, KL8]. It is a...
    in Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
    Chapter 2008

  2. The Mathematical Theory of Finite Element Methods

    Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c...
    Susanne C. Brenner, L. Ridgway Scott in Texts in Applied Mathematics
    Textbook 2008

  3. A Family of Energy Minimizing Coarse Spaces for Overlap** Schwarz Preconditioners

    A simple and effective approach is presented to construct coarse spaces for overlap** Schwarz preconditioners. The approach is based on energy...
    Clark R. Dohrmann, Axel Klawonn, Olof B. Widlund in Domain Decomposition Methods in Science and Engineering XVII
    Conference paper 2008

  4. How to Use the Smith Factorization for Domain Decomposition Methods Applied to the Stokes Equations

    In this paper we demonstrate that the Smith factorization is a powerful tool to derive new domain decomposition methods for vector valued problems....
    Victorita Dolean, Frédéric Nataf, Gerd Rapin in Domain Decomposition Methods in Science and Engineering XVII
    Conference paper 2008

  6. Exact and Inexact FETI-DP Methods for Spectral Elements in Two Dimensions

    High-order finite element methods based on spectral elements or hp-version finite elements improve the accuracy of the discrete solution by...
    Axel Klawonn, Oliver Rheinbach, Luca F. Pavarino in Domain Decomposition Methods in Science and Engineering XVII
    Conference paper 2008

  7. All-floating coupled data-sparse boundary and interface-concentrated finite element tearing and interconnecting methods

    Efficient and robust tearing and interconnecting solvers for large scale systems of coupled boundary and finite element domain decomposition...

    Ulrich Langer, Clemens Pechstein in Computing and Visualization in Science
    Article 27 March 2008

  8. Coupled FETI/BETI Solvers for Nonlinear Potential Problems in (Un)Bounded Domains

    In nonlinear electromagnetic field computations, one is not only faced with large jumps of material coefficients across material interfaces but also...
    Ulrich Langer, Clemens Pechstein in Scientific Computing in Electrical Engineering
    Chapter 2007

  10. Positive definite balancing Neumann–Neumann preconditioners for nearly incompressible elasticity

    In this paper, a positive definite Balancing Neumann–Neumann (BNN) solver for the linear elasticity system is constructed and analyzed. The solver...

    L. Beirão da Veiga, C. Lovadina, L. F. Pavarino in Numerische Mathematik
    Article 01 August 2006
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