A discontinuous Galerkin method for an elliptic hemivariational inequality for semipermeable media. (November 2020)

• Record Type: Journal Article
• Authors: Wang, Fei; Qi, Haoran
• Is Part Of: Applied mathematics letters. Volume 109(2020)
• Publication Date: 2020-11
• Subjects: Discontinuous Galerkin method -- Hemivariational inequality -- Semipermeable media -- A priori error analysis; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106572
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, we study a discontinuous Galerkin (DG) method for solving an elliptic hemivariational inequality for semipermeable media. A priori error analysis is established, and we show that the DG scheme with the linear element reaches optimal convergence order under appropriate solution regularity assumptions. One numerical example is presented to support the theoretical analysis.