WEB-spline based mesh-free finite element analysis for the heat equation and the time-dependent Navier-Stokes equation: A survey

DOI10.1002/num.21757zbMath1280.65109OpenAlexW2064469024WikidataQ115398266 ScholiaQ115398266MaRDI QIDQ2846184

Sudhakar Chaudhary, V. V. K. Srinivas Kumar

Publication date: 5 September 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21757

zbMATH Keywords

stabilityNavier-Stokes equationsheat equationerror estimatesfinite element methodnumerical examplesdiffusion equationinf-sup conditionPoisson problemStokes equationmesh-free methodsWEB-spline

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Heat equation (35K05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Finite Element Approximation Using WEB-Splines for the Heat Equation ⋮ WEB-Spline-based mesh-free finite element approximation forp-Laplacian ⋮ Web‐spline‐based finite element approximation of some quasi‐newtonian flows: Existence‐uniqueness and error bound ⋮ A priori error estimates for the finite element approximation of a nonlocal Kirchhoff problem using web-splines

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