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Morton, K. W.

Generalised Galerkin methods for hyperbolic problems. (English) Zbl 0568.76007

Comput. Methods Appl. Mech. Eng. 52, 847-871 (1985).
See the preview in Zbl 0546.76003.

Cited in 26 Documents

MSC:

76M99 Basic methods in fluid mechanics
76Bxx Incompressible inviscid fluids
86A05 Hydrology, hydrography, oceanography
86A10 Meteorology and atmospheric physics

Keywords:

time-accurate methods; unsteady; fixed mesh; Galerkin formulation; Petrov-Galerkin and Taylor-Galerkin methods; characteristic Galerkin methods; algorithm; ECG shock; modelling algorithm

Citations:

Zbl 0546.76003

Software:

SHASTA
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\textit{K. W. Morton}, Comput. Methods Appl. Mech. Eng. 52, 847--871 (1985; Zbl 0568.76007)
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References:

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[10] Morton, K.W.; Stokes, A., Generalised Galerkin methods for hyperbolic equations, (), 421-431 · Zbl 0551.65076
[11] Donea, J., A Taylor-Galerkin method for convective transport problems, Internat. J. numer. meths. engrg, 20, 101-119, (1984) · Zbl 0524.65071
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[16] Douglas, J.; Russell, T.F., Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM J. numer. anal., 19, 871-885, (1982) · Zbl 0492.65051
[17] Pironneau, O., On the transport-diffusion algorithm and its application to the Navier-Stokes equations, Numer. math., 38, 309-332, (1982) · Zbl 0505.76100
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[23] Morton, K.W., Characteristic Galerkin methods for hyperbolic problems, (), 243-250 · Zbl 0552.76005
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[26] Morton, K.W.; Sweby, P.K., A comparison of finite difference and characteristic Galerkin methods for shock modelling, () · Zbl 0589.76086
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[31] Sod, G.A., A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws, J. comput. phys., 1-31, (1978) · Zbl 0387.76063
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