Output Functional Control for Nonlinear Equations Driven by Anisotropic Mesh Adaption: The Navier–Stokes Equations

DOI10.1137/070691930zbMath1400.49037OpenAlexW2140057693MaRDI QIDQ3648590

Publication date: 27 November 2009

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

Full work available at URL: https://doi.org/10.1137/070691930

zbMATH Keywords

nonlinear PDEs a posteriori error analysis anisotropic mesh adaption output functional control

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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A Priori Anisotropic Mesh Adaptation on Implicitly Defined Surfaces ⋮ The Benefits of Anisotropic Mesh Adaptation for Brittle Fractures Under Plane-Strain Conditions ⋮ Enhancing level set-based topology optimization with anisotropic graded meshes ⋮ Mesh adaptation-aided image segmentation ⋮ Anisotropic mesh adaptation for the generalized Ambrosio-Tortorelli functional with application to brittle fracture ⋮ An anisotropic Zienkiewicz-Zhu-type error estimator for 3D applications ⋮ A dimension-reduction model for brittle fractures on thin shells with mesh adaptivity ⋮ Adjoint-based error estimation and adaptive mesh refinement for the RANS and \(k-\omega\) turbulence model equations ⋮ Anisotropic mesh adaptation for crack propagation induced by a thermal shock in 2D ⋮ Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials ⋮ Anisotropic meshing with time-stepping control for unsteady convection-dominated problems ⋮ Anisotropic Adaptive Meshes for Brittle Fractures: Parameter Sensitivity

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