Homogenization: multiscale modeling, analysis and simulation

Education facts

Code: MAAD28

The course covers the following: (i) scaling and upscaling based on two-scale asymptotics for partial differential equations and systems of equations with oscillating coefficients formulated in perforated domains, (ii) derivation of explicit formulas for effective coefficients and homogenised elliptic, parabolic, and hyperbolic equations, (iii) implementation and numerical simulation of homogenised linear elliptic equations, (iv) derivation of Darcy's law for perforated domains, (v) introduction to weak convergence for linear elliptic partial differential equations, (vi) the concepts of two-scale convergence and compactness, (vii) application of two-scale convergence for homogenisation of second-order linear elliptic equations, (viii) passage to the homogenisation limit and derivation of corrector estimates.

Entry requirements

Mathematics 90 ECTS credits, including at least 30 ECTS credits at the G2F level, or equivalent

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Homogenization: multiscale modeling, analysis and simulation

  Karlstad University

  Karlstad

  Start date: 31 August 2026

  End date: 17 January 2027

  Pace of study: 25 %