A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem

DOI10.1137/151006196zbMath1382.65285OpenAlexW2344397854MaRDI QIDQ2805128

Christopher Keim, Holger Wendland

Publication date: 10 May 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/151006196

zbMATH Keywords

radial basis functionsmeshfree methodsapproximation orderstime-dependent PDEsdivergence-free approximation spaces

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Approximation by other special function classes (41A30)

Related Items (6)

Divergence-free quasi-interpolation ⋮ Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition ⋮ Error estimates of divergence-free generalized moving least squares (div-free GMLS) derivatives approximations in Sobolev spaces ⋮ A semi-implicit semi-Lagrangian method for simulating immersed boundary motion under high inertia and elasticity ⋮ A divergence-free generalized moving least squares approximation with its application ⋮ RBF collocation and hybrid-LHI methods for Stokes systems and its application to controllability problems

Uses Software

• PNFFT

Cites Work

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