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Error estimates for interpolating by thin plate splines under tension. (Estimation de l’erreur pour l’interpolation par des splines de type plaque mince sous tension.) (French) Zbl 1086.65102

Summary: We give some results on the \(L_{p}\)-error estimates and convergence in the Sobolev space for the interpolation by thin splines under tension.

MSC:

65N15 Error bounds for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35D05 Existence of generalized solutions of PDE (MSC2000)
35J40 Boundary value problems for higher-order elliptic equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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