Improved Maximum Angle Estimate for Longest-Edge Bisection

DOI10.1142/S0218195922500017zbMath1496.65029MaRDI QIDQ5104664

Lars Fredrik Lund, Jon Eivind Vatne, Sergey Korotov

Publication date: 15 September 2022

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

zbMATH Keywords

finite element methodmesh refinementlongest-edge bisectionmaximum-angle condition

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

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• Properties of the longest-edge \(n\)-section refinement scheme for triangular meshes
• Longest-edge \(n\)-section algorithms: properties and open problems
• On semiregular families of triangulations and linear interpolation
• On global and local mesh refinements by a generalized conforming bisection algorithm
• On the finite element method
• On the Bisection Method for Triangles
• On Faster Convergence of the Bisection Method for all Triangles
• A Lower Bound on the Angles of Triangles Constructed by Bisecting the Longest Side
• On the Angle Condition in the Finite Element Method
• A Proof of Convergence and an Error Bound for the Method of Bisection in R n

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