Title | On the application of mass lumping in the Petrov–Galerkin finite element method for convection-diffusion problems |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Siryk, SV, Salnikov, NN |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.05.039 |
Issue | 5 |
Section | Information Science and Cybernetics |
Pagination | 39-44 |
Date Published | 5/2014 |
Language | Russian |
Abstract | 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. |
Keywords | convection-diffusion problems, Petrov–Galerkin finite element method |
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