Optimal pressure recovery using an ultra-weak finite element method for the pressure Poisson equation and a least-squares approach for the gradient equation

DOI10.1515/CMAM-2021-0242MaRDI QIDQ6651177

Douglas R. Q. Pacheco, O. Steinbach

Publication date: 10 December 2024

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

pressure Poisson equationultra-weak variational formulationleast-squares formulation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• A Petrov Galerkin finite-element method for interface problems arising in sensitivity computa\-tions
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• Theory and practice of finite elements.
• Pressure boundary condition for the time-dependent incompressible Navier–Stokes equations
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• An analysis of the convergence of mixed finite element methods
• Approximations of Very Weak Solutions to Boundary-Value Problems
• Guaranteed and robust L²-norm a posteriori error estimates for 1D linear advection problems
• The Mathematical Theory of Finite Element Methods
• Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control
• An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution
• Convergence analysis of pressure reconstruction methods from discrete velocities

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