2010/08/16 by Ilona Dominika Kosinska, Kosinska, Ilona Dominika
Computer Science · Engineering · #3D Modeling in Geospatial Applications #3D Shape Modeling and Analysis #BIM and Construction Integration #Computational Geometry and Mesh Generation #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.1008.2715
openalex publication_date 2010/08/16 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
The presented article contains a 2D mesh generation routine optimized with\nthe Metropolis algorithm. The procedure enables to produce meshes with a\nprescribed size h of elements. These finite element meshes can serve as\nstandard discrete patterns for the Finite Element Method (FEM). Appropriate\nmeshes together with the FEM approach constitute an effective tool to deal with\ndifferential problems. Thus, having them both one can solve the 2D Poisson\nproblem. It can be done for different domains being either of a regular\n(circle, square) or of a non--regular type. The proposed routine is even\ncapable to deal with non--convex shapes.\n