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Error Estimates for Finite Volume-Finite Element Method for Convection-diffusion Problems

Liu Ru

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Abstract

In this paper, we combined finite element method and finite volume method to deal with nonliear convection diffusion problems. The nonlinear advective term is approximated by finite volume method and the diffusive term is discretized by finite element method. The error estimates are given in the end.

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What this paper is about

In this paper, we combined finite element method and finite volume method to deal with nonliear convection diffusion problems. The nonlinear advective term is approximated by finite volume method and the diffusive term is discretized by finite element method. The error estimates are given in the end.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we combined finite element method and finite volume method to deal with nonliear convection diffusion problems. The nonlinear advective term is approximated by finite volume method and the diffusive term is discretized by finite element method. The error estimates are given in the end.

Key concepts: Finite volume method, Finite element method, Finite volume method for one-dimensional steady state diffusion, Mixed finite element method, Term (time), Extended finite element method, Diffusion, Discretization

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