Convergence analysis of pressure reconstruction methods from discrete velocities

DOI10.1051/m2an/2023021MaRDI QIDQ6094844

Cristóbal Bertoglio, Rodolfo A. Araya, David D. Nolte, Unnamed Author, Cristian Cárcamo

Publication date: 14 September 2023

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

error analysisNavier-StokesPoissonStokes4D flow MRI

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Mathematical aspects of discontinuous Galerkin methods.
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• On the constants in \(hp\)-finite element trace inverse inequalities.
• Determination of pressure data from velocity data with a view toward its application in cardiovascular mechanics. I: Theoretical considerations
• A hybridizable discontinuous Galerkin method for the Navier-Stokes equations with pointwise divergence-free velocity field
• Theory and practice of finite elements.
• An overview of projection methods for incompressible flows
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• Finite Element Methods for Navier-Stokes Equations
• The Mathematical Theory of Finite Element Methods

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