Pure Lagrangian and Semi-lagrangian Finite Element Methods for the Numerical Solution of Convection-diffusion Problems


In this paper we propose a unified formulation to introduce and analyze (pure) Lagrangian and semi-Lagrangian methods for solving convection-diffusion partial differential equations. This formulation allows us to state classical and new numerical methods. Several examples are given. We combine them with finite element methods for spatial discretization. One… (More)


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