Preconditioning conforming finite element methods for treating Dirichlet boundary conditions. II.
Sze-Ping Wong (1992)
Numerische Mathematik
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Displaying similar documents to “On the Condition Number of Boundary Integral Operators for the Exterior Dirichlet Problem for the Helmholtz Equation.”
Preconditioning conforming finite element methods for treating Dirichlet boundary conditions. II.
Preconditioning conforming finite element methods for treating Dirichlet boundary conditions. I.
Sze-Ping Wong (1992)
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ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which maps a fixed interval onto the Dirichlet boundary, is introduced. An inf-sup condition as well as existence results are presented for a class...
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