Adaptive Mesh Refinement for arbitrary initial Triangulations

Johannes Storn, Lukas Gehring, Lars Diening

Abstract: We introduce a simple initialization of the Maubach bisection routine for adaptive mesh refinement. This initialization applies to any conforming initial triangulation. It preserves shape regularity, satisfies the closure estimate needed for optimal convergence of adaptive schemes, and allows for the intrinsic use of existing implementations.

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Complexity and performance of numerical algorithms (65Y20)

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