A difference method for a nonlinear system of elliptic equations with mixed derivatives
Z. Kowalski (1980)
Annales Polonici Mathematici
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Z. Kowalski (1980)
Annales Polonici Mathematici
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F. Brezzi, J., Jr. Douglas, R. Durán (1987)
Numerische Mathematik
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Mauricio A. Barrientos, Gabriel N. Gatica, Matthias Maischak (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we combine the dual-mixed finite element method with a Dirichlet-to-Neumann mapping (given in terms of a boundary integral operator) to solve linear exterior transmission problems in the plane. As a model we consider a second order elliptic equation in divergence form coupled with the Laplace equation in the exterior unbounded region. We show that the resulting mixed variational formulation and an associated discrete scheme using Raviart-Thomas spaces are well posed,...
B. S. Jovanović, E. E. Süli, L. D. Ivanović (1986)
Matematički Vesnik
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Jan Brandts (1999)
Applications of Mathematics
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We will show that some of the superconvergence properties for the mixed finite element method for elliptic problems are preserved in the mixed semi-discretizations for a diffusion equation and for a Maxwell equation in two space dimensions. With the help of mixed elliptic projection we will present estimates global and pointwise in time. The results for the Maxwell equations form an extension of existing results. For both problems, our results imply that post-processing and a posteriori...
Albino Canfora (1989)
Czechoslovak Mathematical Journal
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M. Jai, G. Bayada, M. Chambat (1992)
Numerische Mathematik
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