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Error estimates for fictitious domain/penalty/finite element methods. (English) Zbl 0770.65066

Using fictitious domain/ penalty methods error estimates for the finite element method for elliptic problems with Neumann boundary conditions are derived. Numerical examples are also given.

MSC:

65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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