A Numerical Study of Some Hessian Recovery Techniques on Isotropic and Anisotropic Meshes

DOI10.1137/100798715zbMath1232.65147OpenAlexW2037685118MaRDI QIDQ3103504

Houman Borouchaki, Paul-Louis George, Marco Picasso, Frédéric Alauzet

Publication date: 7 December 2011

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

Full work available at URL: https://semanticscholar.org/paper/a8447555cb746b3e94cb7a19ff53d6e7d42f560a

zbMATH Keywords

finite elementsanisotropic meshesPoisson problemmesh topologyHessian recovery

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (12)

A least-squares/relaxation method for the numerical solution of the three-dimensional elliptic Monge-Ampère equation ⋮ Recovery based finite difference scheme on unstructured mesh ⋮ Symmetry breaking and preliminary results about a Hopf bifurcation for incompressible viscous flow in an expansion channel ⋮ Function, derivative and high-order derivatives recovery methods using the local symmetry projection ⋮ Hessian recovery for finite element methods ⋮ Hessian recovery based finite element methods for the Cahn-Hilliard equation ⋮ A Second Order Time Integration Method for the Approximation of a Parabolic 2D Monge-Ampère Equation ⋮ An efficient preconditioner for adaptive fast multipole accelerated boundary element methods to model time-harmonic 3D wave propagation ⋮ Metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods ⋮ An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing ⋮ On the superconvergence patch recovery techniques for the linear finite element approximation on anisotropic meshes ⋮ On the Numerical Solution of the Dirichlet Problem for the Elliptic $$(\sigma _2)$$ ( σ 2 ) Equation

Uses Software

• Modulef
• BL2D-V2

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