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Green element method for 2D Helmholtz and convection diffusion problems with variable velocity coefficients
Author(s) -
Onyejekwe Okey Oseloka
Publication year - 2005
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20034
Subject(s) - mathematics , variable (mathematics) , element (criminal law) , helmholtz free energy , finite element method , computation , operator (biology) , mathematical analysis , diffusion , helmholtz equation , partial derivative , algorithm , physics , chemistry , thermodynamics , law , boundary value problem , biochemistry , repressor , political science , transcription factor , gene
Abstract Computation of 2D Helmholtz and transient convection diffusion problems with linear reaction and variable velocity components are implemented with the Green element method (GEM). GEM's fundamental solution which is derived from the diffusion differential operator simplifies the numerical procedure considerably, and together with the Green's second identity, an element to element treatment of the inhomogeneous terms is guaranteed. The reported numerical experiments reveal that the method can be relied on to yield faithful results. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005