On explicit and numerical solvability of parabolic initial-boundary value problems.
Kozhevnikov, Alexander, Lepsky, Olga (2006)
Boundary Value Problems [electronic only]
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Kozhevnikov, Alexander, Lepsky, Olga (2006)
Boundary Value Problems [electronic only]
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Nečas, J.
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Kufner, A.
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Robert Altmann (2014)
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...
Jon Johnsen (1995)
Journées équations aux dérivées partielles
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