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A high‐order compact formulation for the 3D Poisson equation
Author(s) -
Spotz W. F.,
Carey G. F.
Publication year - 1996
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/(sici)1098-2426(199603)12:2<235::aid-num6>3.0.co;2-r
Subject(s) - superconvergence , mathematics , forcing (mathematics) , poisson's equation , poisson distribution , work (physics) , order (exchange) , extension (predicate logic) , function (biology) , construct (python library) , class (philosophy) , mathematical analysis , finite element method , statistics , physics , thermodynamics , finance , economics , evolutionary biology , artificial intelligence , biology , computer science , programming language
In this work we construct an extension to a class of higher‐order compact methods for the three‐dimensional Poisson equation. A superconvergent nodal rate of O ( h 6 ) is predicted, or O ( h 4 ) if the forcing function derivatives are not known exactly. Numerical experiments are conducted to verify these theoretical rates. © 1996 John Wiley & Sons, Inc.