Mesh Grading in Isogeometric Analysis - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Computers & Mathematics with Applications Year : 2015

Mesh Grading in Isogeometric Analysis


This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuous Galerkin Isogeo-metric Analysis schemes. Such solutions appear, for instance, in domains with re-entrant corners on the boundary of the computational domain, in problems with changing boundary conditions, in interface problems, or in problems with singular source terms. Making use of the analytic behavior of the solution, we construct the graded meshes in the neighborhoods of such singular points following a multipatch approach. We prove that appropriately graded meshes lead to the same convergence rates as in the case of smooth solutions with approximately the same number of degrees of freedom. Representative numerical examples are studied in order to confirm the theoretical convergence rates and to demonstrate the efficiency of the mesh grading technology in Isogeometric Analysis.
Fichier principal
Vignette du fichier
mesh_grading_iga.pdf (1.81 Mo) Télécharger le fichier
Vignette du fichier
vignette.png (51.71 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Format : Figure, Image

Dates and versions

hal-02272244 , version 1 (27-08-2019)



Ulrich Langer, Angelos Mantzaflaris, Stephen Moore, Ioannis Toulopoulos. Mesh Grading in Isogeometric Analysis. Computers & Mathematics with Applications, 2015, 70 (7), pp.1685-1700. ⟨10.1016/j.camwa.2015.03.011⟩. ⟨hal-02272244⟩
43 View
98 Download



Gmail Facebook Twitter LinkedIn More