A fictitious domain approach to the numerical solution of elliptic boundary value problems defined in stochastic domains
A hybrid finite element method to compute the free vibration frequencies of a clamped plate
Adaptive convex optimization in Banach spaces: a multilevel approach
This is mainly a review paper, concerned with some applications of the concept of Nonlinear Approximation to adaptive convex minimization. At first, we recall the basic ideas and we compare linear to nonlinear approximation for three relevant families of bases used in practice: Fourier bases, finite element bases, wavelet bases. Next, we show how nonlinear approximation can be used to design rigorously justified and optimally efficient adaptive methods to solve abstract minimization problems in...
Multilevel Decompositions of Functional Spaces.
Page 1