A semi-Lagrangian mixed finite element method for advection–diffusion variational inequalities

Moulay Hicham Tber

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 204, issue C, 202-215

Abstract: We present a computational methodology for solving advection–diffusion variational inequalities. Our method is based on a Lagrange–Galerkin technique which combines a discretization of the material derivative along particle trajectories with a mixed finite element method. An efficient primal–dual active-set algorithm is designed to solve the resulting saddle point complementarity system. The overall approach applies to both advection and diffusion-dominated problems, and its performance is demonstrated on numerical examples with known analytical solutions and a benchmark from the literature.

Keywords: Advection–diffusion; Variational inequalities; Characteristics; Mixed finite elements; Active set strategy (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:204:y:2023:i:c:p:202-215

DOI: 10.1016/j.matcom.2022.08.006

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