Isogeometric Analysis and Non-Polynomial Enrichment for Finite Element Methods in Acoustics

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Isogeometric Analysis and Non-Polynomial Enrichment for Finite Element Methods in Acoustics (Size: 14.2 MB)
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Isogeometric Analysis and Non-Polynomial Enrichment for Finite Element Methods in Acoustics

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English | 2026 | ISBN: 036769882X | 454 pages | True PDF,EPUB | 14.15 MB
In computational acoustics, standard Finite Element Methods (FEM) face severe limitations when modelling high-frequency wave propagation. As the wavenumber increases, fixed discretization levels lead to rapid growth in pollution error, rendering standard solutions inaccurate.
This book addresses this critical challenge by exploring advanced discretization strategies, including high-order polynomial-based Finite Elements, Isogeometric Analysis (IGA) using Non-Uniform Rational B-Splines (NURBS), and Enriched Finite Elements incorporating oscillatory basis functions (Partition of Unity).

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