Mixed exterior Laplace's problem
نویسندگان
چکیده
منابع مشابه
An optimal control problem in exterior hydrodynamics
Optimal control theory of distributed parameter systems is a rapidly developing subject [3,10,9,11]. So far the impact of this growth to continuum mechanics has been essentially in the branch of solid mechanics. In this paper, we develop some of these ideas for a problem in fluid mechanics which has profound practical applications such as aero/hydro maneuvering of vehicles. We consider the task...
متن کاملAn Alternating KMF Algorithm to Solve the Cauchy Problem for Laplaces Equation
This work concerns the use of the iterative algorithm (KMF algorithm) proposed by Kozlov, Mazya and Fomin to solve the Cauchy problem for Laplace’s equation. This problem consists to recovering the lacking data on some part of the boundary using the over specified conditions on the other part of the boundary. We describe an alternating formulation of the KMF algorithm and its relationship with ...
متن کاملA dual-dual mixed formulation for nonlinear exterior transmission problems
We combine a dual-mixed finite element method with a Dirichletto-Neumann mapping (derived by the boundary integral equation method) to study the solvability and Galerkin approximations of a class of exterior nonlinear transmission problems in the plane. As a model problem, we consider a nonlinear elliptic equation in divergence form coupled with the Laplace equation in an unbounded region of th...
متن کاملOn the Mixed Problem for Harmonic Functions in a 2-d Exterior Cracked Domain with Neumann Condition on Cracks
The mixed Dirichlet-Neumann problem for the Laplace equation in an unbounded plane domain with cuts (cracks) is studied. The Dirichlet condition is given on closed curves making up the boundary of the domain, while the Neumann condition is specified on the cuts. The existence of a classical solution is proved by potential theory and a boundary integral equation method. The integral representati...
متن کاملA new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane
This paper deals with the scattering of time harmonic electromagnetic waves by an infinitely long cylinder containing a non-homogeneous conducting medium. More precisely, we study the transverse magnetic field that solves an interface problem holding between the cross section of the cylinder and the exterior two-dimensional free space. We apply a dual-mixed variational formulation in the obstac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.04.077