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M2AN_1981__15_1_3_0.pdf
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🔗 Source: archive.numdam.org
📊 Size: 1.29 MB
👤 Author: Kinji Baba Masahisa Tabata
⬇️ Downloads: 132

Summary

The authors present a new class of upwind finite element schemes for convective diffusion equations, which have the advantages of being effective when convection is dominated, satisfying a discrete conservation law, and satisfying a discrete maximum principle under suitable conditions. The schemes are based on an integral formula and are shown to converge to the exact solution with a rate of 0(h) in L2(0, T, H1(Q)) and L∞(0, T, L2(Q)). The authors also discuss the case when div b = 0 and b · v|^∂Q = 0, and show that their scheme with a special choice satisfies the maximum principle.

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The authors present a new class of upwind finite element schemes for convective diffusion equations, which have the advantages of being effective when...

Technical Information

  • File Format: PDF
  • File Size: 1.29 MB
  • Pages: 24
  • Language: EN
  • Author: Kinji Baba Masahisa Tabata
  • Total Downloads: 132
  • Last Updated: 3 weeks ago

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