论文信息 - Essential imposition of Neumann condition in Galerkin-Legendre elliptic solvers - 字舞流文

Essential imposition of Neumann condition in Galerkin-Legendre elliptic solvers

L. Quartapelle | F. Auteri | N. Parolini

[1] D. Gottlieb,et al. Numerical analysis of spectral methods : theory and applications , 1977 .

[2] Dale B. Haidvogel,et al. The Accurate Solution of Poisson's Equation by Expansion in Chebyshev Polynomials , 1979 .

[3] P. Grisvard. Elliptic Problems in Nonsmooth Domains , 1985 .

[4] J. Boyd. Chebyshev and Fourier Spectral Methods , 1989 .

[5] Jie Shen,et al. Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials , 1994, SIAM J. Sci. Comput..

[6] Jie Shen,et al. Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials , 1995, SIAM J. Sci. Comput..

[7] Franco Auteri,et al. Galerkin Spectral Method for the Vorticity and Stream Function Equations , 1999 .

[8] Franco Auteri,et al. Galerkin—Legendre Spectral Method for the 3D Helmholtz Equation , 2000 .

[9] Nicola Parolini,et al. Simulation of the Differentially Heated 8 : 1 Rectangular Cavity by a Galerkin-Legendre Spectral Projection Method , 2001 .

[10] C. Bernardi,et al. Approximations spectrales de problèmes aux limites elliptiques , 2003 .