Author | Steinbach, Olaf. author |
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Title | Stability Estimates for Hybrid Coupled Domain Decomposition Methods [electronic resource] / by Olaf Steinbach |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2003 |
Connect to | http://dx.doi.org/10.1007/b80164 |
Descript | VI, 126 p. online resource |
Preliminaries -- Sobolev Spaces: Saddle Point Problems; Finite Element Spaces; Projection Operators; Quasi Interpolation Operators -- Stability Results: Piecewise Linear Elements; Dual Finite Element Spaces; Higher Order Finite Element Spaces; Biorthogonal Basis Functions -- The Dirichlet-Neumann Map for Elliptic Problems: The Steklov-Poincare Operator; The Newton Potential; Approximation by Finite Element Methods; Approximation by Boundary Element Methods -- Mixed Discretization Schemes: Variational Methods with Approximate Steklov-Poincare Operators; Lagrange Multiplier Methods -- Hybrid Coupled Domain Decomposition Methods: Dirichlet Domain Decomposition Methods; A Two-Level Method; Three-Field Methods; Neumann Domain Decomposition Methods;Numerical Results; Concluding Remarks -- References