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dc.contributor.authorBlasco Lorente, Jorge
dc.contributor.authorCodina, Ramon
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractIn this paper we analyse a pressure stabilized, finite element method for the unsteady, incompressible Navier-Stokes equations in primitive variables; for the time discretization we focus on a fully implicit, monolithic scheme. We provide some error estimates for the fully discrete solution which show that the velocity is first order accurate in the time step and attains optimal order accuracy in the mesh size for the given spatial interpolation, both in the spaces L^2(W) and H(W) the pressure solution is shown to be order 1/2 accurate in the time step and also optimal in the mesh size. These estimates are proved assuming only a weak compatibility condition on the approximating spaces of velocity and pressure, which is satisfied by equal order interpolations.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshFluid mechanics
dc.subject.lcshPartial differential equations
dc.subject.otherFinite elements
dc.subject.otherIncompressible flow
dc.subject.otherPressure instability
dc.subject.otherNavier-Stokes equations
dc.titleSpace and time error estimates for a first order, pressure stabilized finite element method for the incompressible Navier-Stokes equations
dc.subject.lemacVorticitat -- Teoria
dc.subject.lemacMecànica de fluids
dc.subject.lemacEquacions en derivades parcials
dc.subject.lemacProblemes de valor inicial
dc.subject.lemacProblemes de contorn
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
dc.subject.amsClassificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids
dc.subject.amsClassificació AMS::76 Fluid mechanics::76M Basic methods in fluid mechanics
dc.rights.accessOpen Access

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