Gabriele Bonanno, Elisabetta Tornatore (2010)
Annales Polonici Mathematici
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The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
Salim Meddahi, Virginia Selgas (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study in this paper the electromagnetic field generated in a conductor by an alternating current density. The resulting interface problem (see Bossavit (1993)) between the metal and the dielectric medium is treated by a mixed–FEM and BEM coupling method. We prove that our BEM-FEM formulation is well posed and that it leads to a convergent Galerkin method.
A. Azzam (1981)
Annales Polonici Mathematici
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C. Johnson (1976)
Publications mathématiques et informatique de Rennes
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H. Marcinkowska (1982)
Colloquium Mathematicae
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Maurizio Chicco, Marina Venturino (2006)
Bollettino dell'Unione Matematica Italiana
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We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.
Chaohao Gu (1980)
Journées équations aux dérivées partielles
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A.K. Aziz, M. Schneider, Houde Han (1984)
Numerische Mathematik
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Konrad Gröger (1989)
Mathematische Annalen
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Guo Chun Wen (1998)
Annales Polonici Mathematici
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This paper deals with an application of complex analysis to second order equations of mixed type. We mainly discuss the discontinuous Poincaré boundary value problem for a second order linear equation of mixed (elliptic-hyperbolic) type, i.e. the generalized Lavrent’ev-Bitsadze equation with weak conditions, using the methods of complex analysis. We first give a representation of solutions for the above boundary value problem, and then give solvability conditions via the Fredholm theorem...
Chakrabarti, A., Manna, D.P. (1994)
International Journal of Mathematics and Mathematical Sciences
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Eliane Bécache, Jeronimo Rodríguez, Chrysoula Tsogka (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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The problem of modeling acoustic waves scattered by an object with Neumann boundary condition is considered. The boundary condition is taken into account by means of the fictitious domain method, yielding a first order in time mixed variational formulation for the problem. The resulting system is discretized with two families of mixed finite elements that are compatible with mass lumping. We present numerical results illustrating that the Neumann boundary condition on the object is...