Analysis and Numerics of Partial Differential Equations

✍ Scribed by Franco Brezzi (auth.), Franco Brezzi, Piero Colli Franzone, Ugo Gianazza, Gianni Gilardi (eds.)

• Publisher: Springer-Verlag Mailand
• Year: 2013
• Tongue: English
• Leaves: 365
• Series: Springer INdAM Series 4
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-XIII
Front Matter....Pages 1-1
Personal Memories....Pages 3-4
Some Aspects of the Research of Enrico Magenes in Partial Differential Equations....Pages 5-11
Enrico Magenes and the Dam Problem....Pages 13-18
Inverse Problems in Electrocardiology....Pages 19-36
Stefan Problems and Numerical Analysis....Pages 37-45
Enrico Magenes and the Teaching of Mathematics....Pages 47-52
List of Mathematical Works Authored or Edited by Enrico Magenes....Pages 53-59
Front Matter....Pages 61-61
Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below—The Compact Case....Pages 63-115
Spaces of Finite Element Differential Forms....Pages 117-140
A Priori Bounds for Solutions of a Nonlocal Evolution PDE....Pages 141-163
On the Numerical Analysis of Adaptive Spectral/ hp Methods for Elliptic Problems....Pages 165-192
A Theory and Challenges for Coarsening in Microstructure....Pages 193-220
A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation....Pages 221-235
Analysis and Numerics of Some Fractal Boundary Value Problems....Pages 237-255
AFEM for Geometric PDE: The Laplace-Beltrami Operator....Pages 257-306
Generalized Reduced Basis Methods and n -Width Estimates for the Approximation of the Solution Manifold of Parametric PDEs....Pages 307-329
Variational Formulation of Phase Transitions with Glass Formation....Pages 331-365

✦ Subjects

Partial Differential Equations; Computational Mathematics and Numerical Analysis; Calculus of Variations and Optimal Control; Optimization