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Convergence Analysis of a Discontinuous Galerkin Method with Plane Waves and Lagrange Multipliers for the Solution of Helmholtz Problems

โœ Scribed by Amara, Mohamed; Djellouli, Rabia; Farhat, Charbel

Book ID
118184644
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
318 KB
Volume
47
Category
Article
ISSN
0036-1429

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A discontinuous Galerkin method with Lag
A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
โœ Charbel Farhat; Isaac Harari; Ulrich Hetmaniuk ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 297 KB

We present a discontinuous Galerkin method (DGM) for the solution of the Helmholtz equation in the mid-frequency regime. Our approach is based on the discontinuous enrichment method in which the standard polynomial field is enriched within each finite element by a non-conforming field that contains