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Dimensional reduction for Helmholtz's equation on a bounded domain

✍ Scribed by Kang-Man Liu; Ivo Babuška


Book ID
105879567
Publisher
Springer-Verlag
Year
1997
Tongue
English
Weight
495 KB
Volume
77
Category
Article
ISSN
0029-599X

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✍ Kang–Man Liu; Ivo Babus̆ka 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 488 KB

The boundary value problem of Helmholtz's equation on a n + 1 dimensional thin slab is approximated by appropriate systems of the n-dimensional boundary value problem. The very detailed estimates for modeling error in the H 1 -norm demonstrate convergence when the thickness of the slab approaches 0