Volume 4 2013

Analysis and Numerics of Partial Differential Equations

ISBN: 978-88-470-2591-2 (Print) 978-88-470-2592-9 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages I-XIII

  2. A Historical Perspective

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-4

      Personal Memories

    3. No Access

      Book Chapter

      Pages 5-11

      Some Aspects of the Research of Enrico Magenes in Partial Differential Equations

    4. No Access

      Book Chapter

      Pages 13-18

      Enrico Magenes and the Dam Problem

    5. No Access

      Book Chapter

      Pages 19-36

      Inverse Problems in Electrocardiology

    6. No Access

      Book Chapter

      Pages 37-45

      Stefan Problems and Numerical Analysis

    7. No Access

      Book Chapter

      Pages 47-52

      Enrico Magenes and the Teaching of Mathematics

    8. No Access

      Book Chapter

      Pages 53-59

      List of Mathematical Works Authored or Edited by Enrico Magenes

  3. Recent Developments

    1. Front Matter

      Pages 61-61

    2. No Access

      Book Chapter

      Pages 63-115

      Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below—The Compact Case

    3. No Access

      Book Chapter

      Pages 117-140

      Spaces of Finite Element Differential Forms

    4. No Access

      Book Chapter

      Pages 141-163

      A Priori Bounds for Solutions of a Nonlocal Evolution PDE

    5. No Access

      Book Chapter

      Pages 165-192

      On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems

    6. No Access

      Book Chapter

      Pages 193-220

      A Theory and Challenges for Coarsening in Microstructure

    7. No Access

      Book Chapter

      Pages 221-235

      A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation

    8. No Access

      Book Chapter

      Pages 237-255

      Analysis and Numerics of Some Fractal Boundary Value Problems

    9. No Access

      Book Chapter

      Pages 257-306

      AFEM for Geometric PDE: The Laplace-Beltrami Operator

    10. No Access

      Book Chapter

      Pages 307-329

      Generalized Reduced Basis Methods and n-Width Estimates for the Approximation of the Solution Manifold of Parametric PDEs

    11. No Access

      Book Chapter

      Pages 331-365

      Variational Formulation of Phase Transitions with Glass Formation