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Finite elements and characteristics for some parabolic-hyperbolic problems. (English) Zbl 0505.65055
MSC:
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
65M25Method of characteristics (IVP of PDE, numerical methods)
35K20Second order parabolic equations, initial boundary value problems
35K60Nonlinear initial value problems for linear parabolic equations
76D05Navier-Stokes equations (fluid dynamics)
35Q30Stokes and Navier-Stokes equations
35Q05Euler-Poisson-Darboux equation and generalizations
76R99Diffusion and convection (fluid mechanics)