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A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem
(Elsevier Science, 2014-10)
In this paper we obtain a priori and a posteriori error estimates for stabilized low-order mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates ...
On Bloch waves for the Stokes equations
(AMER INST MATHEMATICAL SCIENCES, 2007-01)
In this work, we study the Bloch wave decomposition for the Stokes equations in a periodic media in R-d. We prove that, because of the incompressibility constraint, the Bloch eigenvalues, as functions of the Bloch frequency ...
Performance evaluation of block-diagonal preconditioners for the divergence-conforming B-spline discretization of the Stokes system
(Elsevier B.V., 2015-11)
The recently introduced divergence-conforming B-spline discretizations allow the construction of smooth discrete velocity-pressure pairs for viscous incompressible flows that are at the same time inf-sup stable and pointwise ...
Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
(WileyBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidos, 2019)
Problems of vibrations, acoustics and dissipation.
(2018)
The goal of this dissertation is to develop and analyze efficient numerical tools to deal with vibration problems for coupled systems involving elastic structures and dissipative fluids.We will consider the vibration problem ...