Titlebook: Analysis and Numerics of Partial Differential Equations; Franco Brezzi,Piero Colli Franzone,Gianni Gilardi Book 2013 Springer-Verlag Itali

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Spaces of Finite Element Differential Formsus, namely that they can be assembled into subcomplexes of the de?Rham complex which admit commuting projections. We present two families of spaces in the case of simplicial meshes, and two other families in the case of cubical meshes. We make use of the exterior calculus and the Koszul complex to d

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On the Numerical Analysis of Adaptive Spectral/, Methods for Elliptic Problemstime, we draw attention on some recent results of ours concerning the convergence and complexity analysis of adaptive algorithm of spectral and spectral-element type. Complexity is studied under the assumption that the solution belongs to a sparsity class of exponential type, which means that its be

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A Theory and Challenges for Coarsening in Microstructureed by grain boundaries, thus comprising cellular networks. The grain boundary character distribution (GBCD) is an empirical distribution of the relative length (in 2D) or area (in 3D) of interface with a given lattice misorientation and normal. During the coarsening, or growth, process, an initially

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Analysis and Numerics of Some Fractal Boundary Value Problemsproblems, so much cherished and in many ways pioneering developed by Enrico Magenes, takes on a special relevance in the theory of boundary value problems in fractal domains and with fractal operators. In this theory, in fact, the discrete numerical analysis of the problem precedes, and indeed give

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Generalized Reduced Basis Methods and ,-Width Estimates for the Approximation of the Solution Manifolbert space. In this paper we review the generalized reduced basis method as a fast computational tool for the uniform approximation of the solution manifold..We focus on operators showing an ., expressed as a linear combination of parameter-independent operators through some smooth, parameter-depen

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978-88-470-5559-9Springer-Verlag Italia 2013