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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The finite volume methods are frequently employed in the discretization ofdiffusion problems with interface. In this paper, we firstly present avertex-centered MACH-like finite volume method for solving stationary diffusionproblems with strong discontinuity and multiple material cells on the Euleriangrids. This method is motivated by Frese [No. AMRC-R-874, Mission ResearchCorp., Albuquerque, NM, 1987]. Then, the local truncation error and globalerror estimates of the degenerate five-point MACH-like scheme are derived byintroducing some new techniques. Especially under some assumptions, we provethat this scheme can reach the asymptotic optimal error estimate $O(h^2 |\lnh|)$ in the maximum norm. Finally, numerical experiments verify theoreticalresults.

Error estimates on a finite volume method for diffusion problems with interface on Eulerian grids