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1. On stable equal-order finite element formulations for incompressible flow problems

Author

Abimael F. D. Loula and Jose Karam Filho

Subjects
Numerical Analysis, Applied Mathematics, Mathematical analysis, General Engineering, Mixed finite element method, Finite element method, Mathematics::Numerical Analysis, Pressure-correction method, Discontinuous Galerkin method, Incompressible flow, Smoothed finite element method, Galerkin method, Extended finite element method, Mathematics
Abstract

In this work we discuss stable equal-order finite element formulations for incompressible flow problems based on Petrov–Galerkin methods, constructed by adding to the classical Galerkin formulation least-squares of the governing equations. Continuous and discontinuous pressure interpolations are considered. Numerical results are presented reinforcing the numerical analysis.

Published
1992
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