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RTIN-based strategies for local mesh refinement

Kolcun, Alexej, Sysala, Stanislav (2021)

Programs and Algorithms of Numerical Mathematics

Longest-edge bisection algorithms are often used for local mesh refinements within the finite element method in 2D. In this paper, we discuss and describe their conforming variant. A particular attention is devoted to the so-called Right-Triangulated Irregular Network (RTIN) based on isosceles right triangles and its tranformation to more general domains. We suggest to combine RTIN with a balanced quadrant tree (QuadTree) decomposition. This combination does not produce hanging nodes within the...

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