Boundary Subspaces for the Finite Element Method With Lagrange Multipliers.
J. Pitkäranta (1979)
Numerische Mathematik
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J. Pitkäranta (1979)
Numerische Mathematik
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Ivo Babuska (1972/73)
Numerische Mathematik
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A. F. Kleiner (1973)
Colloquium Mathematicae
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Raymond Cheng, Javad Mashreghi, William T. Ross (2017)
Concrete Operators
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This paper is selective survey on the space lAp and its multipliers. It also includes some connections of multipliers to Birkhoff-James orthogonality
A. Szaz (1981)
Matematički Vesnik
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Ivan G. Todorov, Lyudmila Turowska (2010)
Banach Center Publications
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The present article is a survey of known results on Schur and operator multipliers. It starts with the classical description of Schur multipliers due to Grothendieck, followed by a discussion of measurable Schur multipliers and a generalisation of Grothendieck's Theorem due to Peller. Thereafter, a non-commutative version of Schur multipliers, called operator multipliers and introduced by Kissin and Schulman, is discussed, and a characterisation extending the description in the commutative...
Bishnu P. Lamichhane, Barbara I. Wohlmuth (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained mortar spaces in case of hexahedral triangulations. As a result, standard efficient iterative...
Mary E. Morley (1987)
Numerische Mathematik
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M. Jaćimović, I. Krnić, M. M. Potapov (1990)
Matematički Vesnik
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Bishnu P. Lamichhane, Barbara I. Wohlmuth (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained mortar spaces in case of hexahedral triangulations. As a result, standard efficient iterative...
Barbara I. Wohlmuth (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Domain decomposition techniques provide a powerful tool for the numerical approximation of partial differential equations. We focus on mortar finite element methods on non-matching triangulations. In particular, we discuss and analyze dual Lagrange multiplier spaces for lowest order finite elements. These non standard Lagrange multiplier spaces yield optimal discretization schemes and a locally supported basis for the associated constrained mortar spaces. As a consequence, standard efficient...