Homogenization: multiscale modeling, analysis and simulation

Utbildningsfakta

Kod: 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.

Behörighet

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

Utbildningstillfällen

Varje tillfälle har egna datum och villkor. Avslutade tillfällen behålls som historik och innebär inte att en ny ansökan är öppen.

• Homogenization: multiscale modeling, analysis and simulation

  Karlstad University

  Karlstad

  Startdatum: 31 augusti 2026

  Slutdatum: 17 januari 2027

  Studietakt: 25 %