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Finite element solution of vector Poisson equation with a coupling boundary condition. (English) Zbl 0956.65103
The authors study the boundary value problems for the vector Poisson equation with boundary conditions that include the divergence of the unknown vector function. Variational formulation and finite element approximation are presented. A convergence analysis of the numerical schemes is provided together with some numerical results.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
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