On the regularity and uniformness conditions on quadrilateral grids

DOI10.1016/S0045-7825(02)00357-2zbMath1030.65124OpenAlexW2078692313MaRDI QIDQ1871001

Songnian He, So-Hsiang Chou

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00357-2

zbMATH Keywords

quadrilateral gridsquasi-regularalmost parallelogramregularity and uniformness conditions

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Cites Work

• A convergence condition for the quadrilateral Wilson element
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Convergence of the Nonconforming Wilson Element for a Class of Nonlinear Parabolic Problems
• Simple nonconforming quadrilateral Stokes element
• The Accuracy of Cell Vertex Finite Volume Methods on Quadrilateral Meshes
• Superconvergence of Mixed Finite Element Approximations over Quadrilaterals
• Effects of element distortions on the performance of isoparametric elements
• A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
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