English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper we present and analyze a constraint energy minimizinggeneralized multiscale finite element method for convection diffusion equation.To define the multiscale basis functions, we first build an auxiliarymultiscale space by solving local spectral problems motivated by analysis. Thenconstraint energy minimization performed in oversampling domains is exploitedto construct the multiscale space. The resulting multiscale basis functionshave a good decay property even for high contrast diffusion and convectioncoefficients. Furthermore, if the number of oversampling layer is chosenproperly, we can prove that the convergence rate is proportional to the coarsemesh size. Our analysis also indicates that the size of the oversampling domainweakly depends on the contrast of the heterogeneous coefficients. Severalnumerical experiments are presented illustrating the performances of ourmethod.

Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation