Special quadratic quadrilateral finite elements for local refinement with irregular nodes

DOI10.1016/S0045-7825(99)00088-2zbMath0965.76048WikidataQ126867829 ScholiaQ126867829MaRDI QIDQ1968492

Yanyan Li

Publication date: 19 March 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsdriven cavity flowinterpolation functionlocal refinementreactive flowbackward facing step flowquadratic quadrilateral elements

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

Integration of localized surface geometry in fully parameterized ANCF finite elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(h\)-and \(d\)-adaptive FE methods for two-dimensional structural problems including post-buckling of shells
• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
• Accuracy and adaptivity in the numerical analysis of thin-walled structures
• A moving-mesh finite element method with local refinement for parabolic partial differential equations
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• The h-p version of the finite element method. II. General results and applications
• An h-p adaptive finite element method for the numerical simulation of compressible flow
• An analysis of the effect of plate thickness on laminar flow and heat transfer in interrupted-plate passages
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• The post-processing approach in the finite element method—Part 3:A posteriori error estimates and adaptive mesh selection
• Extraction methods for second derivatives in finite element approximations of linear elasticity problems
• A finite element for transition from a fine to a coarse grid
• A‐posteriori error estimates for the finite element method

This page was built for publication: Special quadratic quadrilateral finite elements for local refinement with irregular nodes