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A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
Author(s) -
OÑATE E.,
IDELSOHN S.,
ZIENKIEWICZ O. C.,
TAYLOR R. L.
Publication year - 1996
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19961130)39:22<3839::aid-nme27>3.0.co;2-r
Subject(s) - partial differential equation , mathematics , interpolation (computer graphics) , fluid mechanics , collocation method , fluid dynamics , point (geometry) , compressible flow , collocation (remote sensing) , flow (mathematics) , compressibility , mathematical analysis , differential equation , mechanics , computer science , classical mechanics , physics , ordinary differential equation , geometry , motion (physics) , machine learning
The paper presents a fully meshless procedure fo solving partial differential equations. The approach termed generically the ‘finite point method’ is based on a weighted least square interpolation of point data and point collocation for evaluating the approximation integrals. Some examples showing the accuracy of the method for solution of adjoint and non‐self adjoint equations typical of convective‐diffusive transport and also to the analysis of compressible fluid mechanics problem are presented.