A Finite Element Method for a Boundary Value Problem of Mixed Type.
A.K. Aziz, M. Schneider, Houde Han (1984)
Numerische Mathematik
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A.K. Aziz, M. Schneider, Houde Han (1984)
Numerische Mathematik
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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...
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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.
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Numerische Mathematik
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