An elasticity-based smoothing post-processing algorithm for the quality improvement of quadrilateral elements

• Published in: Finite elements in analysis and design Vol. 215; p. 103888
• Main Authors: Blecua, César, Falcó, Antonio
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2023
• Subjects: Mesh quality; Mesh smoothing; Quadrilateral element; Unstructured mesh; 99-00; Unstructured mesh; Mesh smoothing; 00-01; Mesh quality; Quadrilateral element
• ISSN: 0168-874X; 1872-6925
• DOI: 10.1016/j.finel.2022.103888

Post-processing meshing algorithms are widely used to achieve the desired quality in quadrilateral meshes. Assuming that the mesh quality depends on the distortion and the size error of each of its convex quadrilaterals, deficiencies arise by considering solutions based in minimizing either the distortion or the size error. To solve this undesirable situation, in this paper we propose a new smoothing post-processing meshing algorithm. This procedure provides a good compromise between the distortion and the size of each element in the mesh. It is formulated by using an elasticity-based argument and allows to be implemented either in sequential or parallel form. Moreover, it provides a good quality output compared with some of the usual smoothing post-processing meshing algorithms. •A meshing post-processing algorithm of quadrilateral elements is presented.•Our criterion depends on a compromise between distortion and size error.•It is a clean-up method that uses a non-smooth Newton method.•It can be implemented either in sequential or in parallel.