Jan Kucwaj
Czasopismo Techniczne, Nauki Podstawowe Zeszyt 2 NP (16) 2014, 2014, s. 63 - 79
https://doi.org/10.4467/2353737XCT.14.301.3389This paper presents the appliction of a remeshing algorithm to solution of elastic-plastic torsion of bars with isotropic strain hardening. The remeshing algorithm uses a grid generator with mesh size function [7]. The method of grid generation is based on a coupling of the advancing front method and the Delaunay triangulation. The optimal mesh size for the posed problem is obtained iteratively. For the consequtive steps of the adaptation algorithm error indicators at nodes and in elements are used for mesh size modification. The discretized system of nonlinear algebraic equations is solved by the application of the Newton-Raphson method.
Jan Kucwaj
Czasopismo Techniczne, Nauki Podstawowe Zeszyt 1-NP 2016, 2016, s. 149 - 158
https://doi.org/10.4467/2353737XCT.16.148.5759The main goal of the presented paper are numerical experiments of the convergence of the adaptation algorithm [4] developed by the author based on remeshing, which form the proof of the concept for the presented algorithm. The main feature of the considered algorithm is an application of the mesh generator to the adaptation with a mesh size function [5]. The proposed method uses a sequence of meshes obtained by successive modification of the mesh size function. The rate of the convergence is obtained numerically considering a known solution. The analysis of the unknown solution was restricted to the assessment of some properties of the strict solution.