Academic Journal
Robust globally divergence-free weak Galerkin methods for the steady Boussinesq system with damping.
| Τίτλος: | Robust globally divergence-free weak Galerkin methods for the steady Boussinesq system with damping. |
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| Συγγραφείς: | Wang, Xiaojuan1 (AUTHOR) xiaojuanwang@sxau.edu.cn, Xie, Xiaoping2 (AUTHOR) xpxie@scu.edu.cn, Zhang, Shiquan1,2 (AUTHOR) shiquanzhang@scu.edu.cn |
| Πηγή: | Computers & Mathematics with Applications. Oct2026, Vol. 220, p237-265. 29p. |
| Θεματικοί όροι: | *Boussinesq equations, *Galerkin methods, *Polynomial approximation, *Damping (Mechanics), *Iterative methods (Mathematics), *Error analysis in mathematics |
| Περίληψη: | In this paper, we develop and analyse robust weak Galerkin methods for the steady Boussinesq model with damping. The methods respectively apply piecewise polynomials of degrees m (m ≥ 1), m − 1 and m to approximate velocity, pressure and temperature variables in the interior of elements, and piecewise polynomials of degrees k (k = m − 1 , m) , m and k respectively to their numerical traces on interfaces elements. The methods are demonstrated to yield globally divergence-free approximation for the velocity. Stability conditions, existence and uniqueness results of proposed discrete schemes are established, and optimal a priori error estimates in the energy norm and L 2 norm are rigorously derived. A convergent linearized iterative method is proposed to solve the resulted nonlinear algebraic system. Numerical experiments are given to verify the theoretical analysis of presented algorithms. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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