Multiscale Problems: Theory, Numerical Approximation And Applications

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). Other applications concern the modeling of new composites (electromagnetic and piezoelectric materials) and imperfect transmission problems. A detailed approach of numerical finite element methods is also investigated.

Product details

• Assisted by: Alain Damlamian (Editor), Bernadette Miara (Editor), Ta-Tsien Li (Editor), Tatsien Li (Editor), Damlamian Alain (Editor), Miara Bernadette (Editor), Li Tatsien (Editor)
• Authors: Miara Bernadette
• Publisher: World Scientific Publishing
• Content: Book
• Product form: Hardback
• Publication date: 22.09.2011
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis
• EAN: 9789814366885
• ISBN: 978-981-4366-88-5
• Series: Series in Contemporary Applied Mathematics > 16; Contemporary Applied Mathemati > 16
• Subjects: SCIENCE / Mechanics / General; MATHEMATICS / Numerical Analysis; Classical mechanics; Numerical analysis; Multiscale Problem, Homogenization, Asymptotic Behavior, Approximation