Mixed time discontinuous space-time finite element method for convection diffusion equations. (English) Zbl 1168.65052
The authors propose a mixed time discontinuous space-time finite element scheme for second-order convection diffusion problems. The order of the equation is lowered by the mixed finite element method. The low order equation is discretized with a space-time finite element method, continuous in space but discontinuous in time. The authors prove stability, existence, uniqueness and convergence of the approximate solutions. Numerical results are also provided.
Reviewer: Răzvan Răducanu (Iaşi)
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 35K15 | Initial value problems for second-order parabolic equations |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
convection-diffusion equations; mixed finite element method; time discontinuous space-time finite element method; convergence; stability; numericalReferences:
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