Mathematical and Numerical Analysis of a Robust and Efficient Grid Deformation Method in the Finite Element Context

DOI10.1137/050639387zbMath1211.65160OpenAlexW2009259073MaRDI QIDQ3558703

Matthias Grajewski, Michael Köster, Stefan Turek

Publication date: 6 May 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/34d40a2c1df4150f5b9ef98ee65c240c60cf1ced

zbMATH Keywords

convergence numerical results Navier-Stokes equations finite elements ordinary differential equations mesh generation Poisson equation a posteriori error estimation \(h\)-adaptivity mesh adaption \(r\)-adaptivity deformation method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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