On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions
On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions
This work is devoted to the study of a two-dimensional vector Poisson equation with the normal component of the unknown and the value of the divergence of the unknown prescribed simultaneously on the entire boundary. These two scalar boundary conditions appear alternative in a standard variational framework. An original variational formulation of this boundary value problem is proposed here. Furthermore, an uncoupled solution algorithm is introduced together with its finite element approximation. The...
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