articleTop 10% cited
A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
International Journal for Numerical Methods in Engineering · 1996 · Vol. 39(22) · pp. 3839–3866
Eugenio Oñate✉(Universitat Politècnica de Catalunya)Sergio R. Idelsohn(Universitat Politècnica de Catalunya)O.C. Zienkiewicz(Universitat Politècnica de Catalunya)R.L. Taylor(Universitat Politècnica de Catalunya)
Abstract
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.
Numerical methods in engineeringAdvanced Numerical Methods in Computational MathematicsFluid Dynamics Simulations and InteractionsPartial differential equationMathematicsInterpolation (computer graphics)Fluid mechanicsCollocation methodFluid dynamicsPoint (geometry)Compressible flowApplied mathematicsCollocation (remote sensing)
Citations
809
FWCI
9.16
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References
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References
Reproducing kernel particle methods for structural dynamics
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Computer Physics Communications · 1988 · 1,077 citations
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Computer Methods in Applied Mechanics and Engineering · 1982 · 5,265 citations
A new implementation of the element free Galerkin method
Computer Methods in Applied Mechanics and Engineering · 1994 · 705 citations
Element‐free Galerkin methods
International Journal for Numerical Methods in Engineering · 1994 · 5,540 citations
Smoothed particle hydrodynamics: theory and application to non-spherical stars
Monthly Notices of the Royal Astronomical Society · 1977 · 6,984 citations
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