A mixed hybrid formulation based on oscillated finite element polynomials for solving Helmholtz problems

A mixed-hybrid-type formulation is proposed for solving Helmholtz problems. This method is based on (a) a local approximation of the solution by oscillated finite element polynomials and (b) the use of Lagrange multipliers to “weakly” enforce the continuity across element boundaries. The computation...

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Veröffentlicht in:	Journal of computational and applied mathematics 2007-07, Vol.204 (2), p.515-525
Hauptverfasser:	Gillman, Adrianna, Djellouli, Rabia, Amara, Mohamed
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Discontinuous Galerkin method Exact sciences and technology Helmholtz problems Lagrange multipliers Mathematical analysis Mathematics Mixed and hybrid FEM Numerical analysis Numerical analysis. Scientific computation Oscillated polynomials Plane waves Pollution effect Sciences and techniques of general use Wave number
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