A selection of mathematical topics in multiscale sciences

• Autores: Claude Le Bris
• Localización: Numerical simulation in Physics and Engineering: proceedings of the XIV Spanish-French Jacques-Louis Lions School : (A Coruña, Spain, September 6-10th, 2010) / Íñigo Arregui (dir. congr.), José Antonio García Rodríguez (dir. congr.), Carlos Vázquez (dir. congr.), 2010, ISBN 978-84-9749-420-5, págs. 153-233
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We present here some basic elements of the mathematical theory for three different contexts of multiscale simulation: homogenization theory for elliptic equations, atomistic to continuum models for elastic materials, and micro-macro models for polymeric fluids. The exposition is pedagogic and elementary. Both theoretical and numerical aspects are addressed.