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AuthorSaikat Dey
TitleAccurate Solution of Exterior Helmholtz Problems in Curved 3D Domains Using Geometry-Based p-Version Finite Elements
Year1997
AbstractThis paper describes a method that combines the superior approximation properties of p-version finite element methods with exactly mapped element geometries for highly accurate numerical solution of acoustic radiation problems in three-dimensions for complex geometric domains. Examples show the ability of this method to yield exponentially convergent finite element solutions with less than 1% error in normalized L2 and H1-semi norms with very coarse meshes. The method is also unique because it allows finite element analysis based on exact domain geometry as defined in a CAD system which enables easy integration of the analysis process into the design cycle.
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