Analysis and Numerics of Partial Differential Equations / edited by Franco Brezzi, Piero Colli Franzone, Ugo Gianazza, Gianni Gilardi.

Springer eBooks

Part I A Historical Perspective -- Personal Memories -- Some Aspects of the Research of Enrico Magenes in Partial Differential Equations -- Enrico Magenes and the Dam Problem -- Inverse Problems in Electrocardiology -- Stefan Problems and Numerical Analysis -- Enrico Magenes and the Teaching of Mathematics -- List of Mathematical Works Authored or Edited by Enrico Magenes -- Part II Recent Developments -- Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below - the Compact Case -- Spaces of Finite Element Differential Forms -- A Priori Bounds for Solutions of a Nonlocal Evolution PDE -- On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems -- A Theory and Challenges for Coarsening in Microstructure -- A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation -- Analysis and Numerics of Some Fractal Boundary Value Problems -- AFEM for Geometric PDE: The Laplace-Beltrami Operator -- Generalized Reduced Basis Methods and n-Width Estimates for the Approximation of the Solution Manifold of Parametric PDEs -- Variational Formulation of Phase Transitions with Glass Formation.

This volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes. The first part gives a wide historical perspective of Magenes' work in his 50-year mathematical career; the second part contains original research papers, and shows how ideas, methods, and techniques introduced by Magenes and his collaborators still have an impact on the current research in Mathematics.

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