Mathematical Modeling in Cultural Heritage: Mach2021
In: Springer INdAM Series v.55
Intro -- Preface -- Contents -- Round Table of MACH2021 -- 1 Introduction to the Issues Faced in the Round Table -- 2 The Importance of Science and Cultural Aspects and the Impact on Political Strategies on Cultural Heritage -- 3 Critical Issues Emerged in the Management of CH During Covid-19 Pandemic, Arising Opportunities and Problems that Need to Be Faced with New Investments -- References -- Numerical Simulation of the Athens 1999 Earthquake Including Simplified Models of the Acropolis and the Parthenon: Initial Results and Outlook -- 1 Introduction -- 2 Mathematical Model and Its Numerical Discretization -- 3 Computational Setting for the September 7, 1999 Athens Earthquake -- 3.1 Numerical Model of the Seismic Source, Regional Crustal Properties and Geological Setting -- 3.2 Computational Models Setup -- 4 Numerical Results and Comparison with Observed Records -- 4.1 Simulation of the 1999 Athens Earthquake -- 4.2 Seismic Response of the Parthenon -- 5 Conclusions and Future Developments -- References -- Randomness in a Nonlinear Model of Sulphation Phenomena -- 1 Introduction -- 2 The Deterministic Model -- 3 Stochastic Boundary Condition for the S02 Concentration -- 4 A Nonlinear Model with Stochastic Dynamical Boundary Conditions -- 5 Conclusions -- References -- Automatic Description of Rubble Masonry Geometries by Machine Learning Based Approach -- 1 Introduction -- 2 The Data Set Used -- 2.1 Preparation of Geometrical Data -- 3 Basic Concepts About CNN -- 4 Variational Autoencoder (VAE) -- 5 Implementation -- 6 Experimentations -- 7 Closing Remarks -- References -- A Model for Craquelure: Brittle Layers on Elastic Substrates -- 1 A Model for a Brittle Layer on an Elastic Substrate -- 2 Analytical Treatment of the Model -- 3 Analysis of the Results in Terms of Craquelure -- 4 Conclusions -- References.