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초록· 키워드
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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 \cite{CP}. 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.
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참고문헌 (13)
참고문헌 신청
C. Baiocchi / 1993 / Virtual bubbles and Galerkin-least-squares type methods / Comput. Methods Appl. Mech. Engrg 105(1):125~142
F. Brezzi / 1992 / A relationship be-tween stabilized finite element methods and the Galerkin Method with bubble functions / Comput. Methods Appl. Mech. Engrg 96(1):117~130
A. N. T. Brooks / 1982 / Streamline upwind/Petrov-Galerkin formulations for convected dominated flows with a particular emphasis on the incompressible Navier-Stokes equations / Comput. Methods Appl. Mech. Engrg 32(1-3):199~259
C. Canuto / 1988 / Spectral methods and a maximum principle / Math. Comp 51(184):615~629
C. Canuto / 1994 / Stabilization of spectral methods by finite element bubble functions / Comput. Methods Appl. Mech. Engrg 116(1-4):13~26
F. Brezzi / 1992 / A relationship be-tween stabilized finite element methods and the Galerkin Method with bubble functions / Comput. Methods Appl. Mech. Engrg 96(1):117~130
A. N. T. Brooks / 1982 / Streamline upwind/Petrov-Galerkin formulations for convected dominated flows with a particular emphasis on the incompressible Navier-Stokes equations / Comput. Methods Appl. Mech. Engrg 32(1-3):199~259
C. Canuto / 1988 / Spectral methods and a maximum principle / Math. Comp 51(184):615~629
C. Canuto / 1994 / Stabilization of spectral methods by finite element bubble functions / Comput. Methods Appl. Mech. Engrg 116(1-4):13~26
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