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Start Over Descriptor "Nonlinear convection" Journal international journal of applied and computational mathematics
5 results on '"Nonlinear convection"'

4. A Weak Galerkin Finite Element Method for Solving Nonlinear Convection–Diffusion Problems in One Dimension

Author

Hashim A. Kashkool, Mohammed S. Cheichan, and Fuzheng Gao

Subjects
Applied Mathematics, 010103 numerical & computational mathematics, 01 natural sciences, Finite element method, 010101 applied mathematics, Computational Mathematics, Nonlinear system, Galerkin finite element method, Norm (mathematics), Computational Science and Engineering, Applied mathematics, Nonlinear convection, 0101 mathematics, Galerkin method, Mathematics
Abstract

We propose a weak Galerkin (WG) finite element method for solving one-dimensional nonlinear convection–diffusion problems. Based on a weak form, the semi-discrete WG finite element scheme is established and analyzed. We prove the stability of the semi-discrete solution and derive the optimal order error estimate in the discrete $$H^1$$ -norm and $$L^2$$ -norm, respectively. Numerical experiment is conducted to confirm the theoretical results.

Published
2019

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