Skip to Main content Skip to Navigation
Journal articles

Mesh Grading in Isogeometric Analysis

Abstract : 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.
Complete list of metadata

Cited literature [29 references]  Display  Hide  Download


https://hal.inria.fr/hal-02272244
Contributor : Angelos Mantzaflaris <>
Submitted on : Tuesday, August 27, 2019 - 3:53:16 PM
Last modification on : Tuesday, June 1, 2021 - 9:50:04 PM

Files

mesh_grading_iga.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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

Share

Metrics

Record views

67

Files downloads

564