Adaptivity in mimetic difference schemes: one-dimensional transient problems. (January 2019)

• Record Type: Journal Article
• Authors: Calderón, G; Carrillo E, J C; Villamizar, J; Torres, C; Castillo, J
• Is Part Of: Journal of physics. Volume 1159(2019)
• Publication Date: 2019-01
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1159/1/012019
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: In this paper, we present an h -adaptive process that defines an optimal mesh to compute the solution transient of convection-diffusion-reaction boundary value problems by using mimetic numerical methods. The estimation of the error, in the spatial variable, is made from the discrete version of the gradient operator. The numerical experiment shows the good behavior of the procedure.