Abstract
The bubble stabilization technique of Chebyshev-Legendre high-order element methods for one dimensional advection-diffusion equation is analyzed for the proposed scheme by Canuto and Puppo in [8]. We also analyze the finite element lower-order preconditioner for the proposed stabilized linear system. Further, the numerical results are provided to support the developed theories for the convergence and preconditioning.
Original language | English |
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Pages (from-to) | 423-440 |
Number of pages | 18 |
Journal | Bulletin of the Korean Mathematical Society |
Volume | 53 |
Issue number | 2 |
DOIs | |
State | Published - 2016 |
Keywords
- Advection-diffusion equation
- Bubble-stabilization
- Chebyshev-Galerkin spectral method
- Lower-order preconditioner