On a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations. (English) Zbl 1524.65798
Summary: This note studies a generalization of a post-processing technique and a novel method inspired by the same technique which significantly reduce spurious oscillations in discontinuous Galerkin solutions of convection-diffusion equations in the convection-dominated regime.
MSC:
65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
76M10 | Finite element methods applied to problems in fluid mechanics |
35J25 | Boundary value problems for second-order elliptic equations |
65M15 | Error bounds for initial value and initial-boundary value problems involving PDEs |
35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
76R50 | Diffusion |
35Q35 | PDEs in connection with fluid mechanics |
Keywords:
convection-diffusion equations; discontinuous Galerkin methods; spurious oscillations; post-processing techniques; slope limiterSoftware:
ParMooNReferences:
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