Numerical homogenization of fractal interface problems

HIGHLIGHTS

• who: Kornhuber Ralf and collaborators from the (UNIVERSITY) have published the research: Numerical homogenization of fractal interface problems, in the Journal: (JOURNAL) of February/12,/2021
• what: To control the jump contributions in the stability estimates below, the authors provide some estimates of traces 1 on the interfaces Γ𝑗 of functions 𝑣 ∈ 𝒞𝐾,0 (Ω) with arbitrary 𝐾 ∈ N. For this purpose, the authors follow the approach by Verfürth and utilize the triangulations 𝒯 (𝑘) introduced in Section 3.2. The authors show that the kernel ker Πℋ𝑘 ⊂ ℋ is also closed, which would imply that Πℋ𝑘 is continuous and thus bounded by the . . .
  

   

  

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