Journal article
A discontinuous Galerkin method for H(curl)-elliptic hemivariational inequalities
Applied numerical mathematics, Vol.227, pp.64-80
09/2026
DOI: 10.1016/j.apnum.2026.04.004
Abstract
In this paper, we develop a Discontinuous Galerkin (DG) method for solving H(curl)-elliptic hemivariational inequalities. By selecting an appropriate numerical flux, we construct an Interior Penalty Discontinuous Galerkin (IPDG) scheme. A comprehensive numerical analysis of the IPDG method is conducted, addressing key aspects such as consistency, boundedness, and stability of the discrete formulation, as well as the existence, uniqueness, and uniform boundedness of the numerical solutions. Building on these properties, we establish a priori error estimates, demonstrating the optimal convergence order of the numerical solutions under suitable solution regularity assumptions. Finally, a numerical example is presented to illustrate the theoretically predicted convergence order and to show the effectiveness of the proposed method.
Details
- Title: Subtitle
- A discontinuous Galerkin method for H(curl)-elliptic hemivariational inequalities
- Creators
- Xiajie Huang - Shanghai Jiao Tong UniversityFei Wang - Xi'an Jiaotong UniversityWeimin Han - University of IowaMin Ling - Inner Mongolia University
- Resource Type
- Journal article
- Publication Details
- Applied numerical mathematics, Vol.227, pp.64-80
- DOI
- 10.1016/j.apnum.2026.04.004
- ISSN
- 0168-9274
- eISSN
- 1873-5460
- Publisher
- Elsevier B.V
- Grant note
- National Natural Science Foundation of China: 12171383 Simons Foundation Collaboration Grants: 850737
1 The work of this author was partially supported by the National Natural Science Foundation of China (Grant No. 12171383). 2 The work of this author was partially supported by Simons Foundation Collaboration Grants (Grant No. 850737).
- Language
- English
- Date published
- 09/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985161442602771
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