Approximation by interpolating variational splines (Q932721)

A new kind of interpolating variational spline that minimizes the functional \[ J(v)=\langle\tau,\, \alpha(v,\,v)\rangle_{{\mathbb R}^{N_2}}+\varepsilon| v| ^2_{m,\,\Omega,\,{\mathbb R}^{n}} \] over the Sobolev space \(H^m(\Omega,\, {\mathbb R}^{n})\), where a nonnegative vector \(\tau=(\tau_1,\dots,\tau_{N_2})\), and \(\varepsilon>0\) are weight parameters is studied. Special stress is set on convergence conditions.