Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Error estimate of the spectral Galerkin method for the steady convection diffusion problem with variable coefficients based on the least-squares method. |
| Συγγραφείς: |
Qin, Yonghui1,2,3 (AUTHOR) yonghui1676@163.com, Huang, Jiaoxia1 (AUTHOR) |
| Πηγή: |
Computers & Mathematics with Applications. Sep2026, Vol. 217, p315-330. 16p. |
| Θεματικοί όροι: |
*Galerkin methods, *Least squares, *Numerical analysis, *Approximation error, *Spectral element method, *Iterative methods (Mathematics), *Transport equation |
| Περίληψη: |
In this paper, we focus on the error estimate of the Legendre Galerkin and spectral collocation least-squares method for the steady convection diffusion problem with variable coefficients. The coercivity and continuity of the variational formulation for the two-dimensional steady convection diffusion problem in the coupled norm H (div, Ω) × H 1(Ω) are analyzed. The coercivity and continuity of the proposed scheme are established, which result in the corresponding error estimate of our scheme. Numerical examples show that the resulting numerical solutions possess high accuracy. Our method is extended to solve the steady convection diffusion problem on a triangular domain using a rectangle-to-triangle transformation. The proposed scheme is also applied to solve the steady convection diffusion problem on the trapezoid domain, which a rectangular element and a triangular element are adopted. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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