On the application of mass lumping in the Petrov–Galerkin finite element method for convection-diffusion problems
DOI:
https://doi.org/10.15407/dopovidi2014.05.039Keywords:
convection-diffusion problems, Petrov–Galerkin finite element methodAbstract
We address the topics of overcoming the dispersive and dissipative effects that arise after the application of mass lumping in the finite-element Petrov–Galerkin method for convection-diffusion problems. A generalization of some earlier results in this field is carried out, as well as the comparison with other existing approaches. The test calculations confirm the theoretical results obtained.
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