Work

Finite Volume Element Method for a Nonlinear Parabolic Equation

Year: 2024

Type: article

Abstract: In this article, we study a parabolic equation with both nonlinear time-derivative term and nonlinear diffusion term by the finite volume element method. The optimal error estimate in $H^1$-norm is proved for fully discrete scheme. The suboptimal error estimate in $L^2$-norm is proved both for semi-discrete scheme and fully discrete scheme. We prove the existence of solution for the fully discrete scheme. Numerical results show the effectiveness of our method.

Source: Advances in Applied Mathematics and Mechanics

DOI: 10.4208/aamm.oa-2022-0258

Authors: Yanwei Du, Yonghai Li

Institutions: Henan University, Jilin University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4404834312

FWCI:

Cites: 24

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Related to: 10