Numerical Homogenization : Survey , New Results , and Perspectives

  title={Numerical Homogenization : Survey , New Results , and Perspectives},
  author={Antoine Gloria},
Abstract. These notes give a state of the art of numerical homogenization methods for linear elliptic equations. The guideline of these notes is analysis. Most of the numerical homogenization methods can be seen as (more or less different) discretizations of the same family of continuous approximate problems, which H-converges to the homogenized problem. Likewise numerical correctors may also be interpreted as approximations of Tartar’s correctors. Hence the convergence analysis of these… CONTINUE READING