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  • Multiscale Problems:Theory, Numerical Approximation and Applications
  • 點閱:180
  • 作者: editors, Alain Damlamian, Bernadette Miara, Tatsien Li
  • 出版社:Higher Education Press
  • 出版年:c2011
  • 集叢名:Series in Contemporary Applied Mathematics:CAM 16
  • ISBN:978-7-04-031731-2 ; 7-04-031731-1
  • 格式:PDF
  • 附註:簡體字版

The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the periodic case, the other contributions address a wide range of applications in the fields of elasticity (asymptotic behavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluid mechanics (stationary Navier-Stokes equations in porous media).

  • Preface(第v頁)
  • Alain Damlamian An Introduction to Periodic Homogenization(第1頁)
  • Alain Damlamian The Periodic Unfolding Method in Homogenization(第28頁)
  • Gabriel Nguetseng and Lazarus Signing Deterministic Homogenization of Stationary Navier-Stokes Type Equations(第70頁)
  • Patricia Donato Homogenization of a Class of Imperfect Transmission Problems(第109頁)
  • Georges Griso Decompositions of Displacements of Thin Structures(第148頁)
  • Georges Griso Decomposition of Rods Deformations.Asymptotic Behavior of Nonlinear Elastic Rods(第171頁)
  • Dominique Blanchard Junction of a Periodic Family of Rods with a Plate in Elasticity(第198頁)
  • Bernadette Miara Multi-scale Modelling of New Composites:Theory and Numerical Simulation(第234頁)
  • Assyr Abdulle A Priori and a Posteriori Error Analysis for Numerical Homogenization: A Unified Framework(第280頁)
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