Local error analysis for the Stokes equations with a punctual source term

DOI10.1007/s00211-018-0976-0zbMath1433.65278OpenAlexW2784228261WikidataQ129597890 ScholiaQ129597890MaRDI QIDQ1616022

Sébastien Martin, Astrid Decoene, Loïc Lacouture, Silvia Bertoluzza

Publication date: 31 October 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-018-0976-0

zbMATH Keywords

Stokes equationslocal error estimatepunctual source

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Error estimates of EDG-HDG methods for the Stokes equations with Dirac measures, A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures, Error estimates for optimal control problems involving the Stokes system and Dirac measures, A posteriori error estimates in \(W^{1,p}\times L^p\) spaces for the Stokes system with Dirac measures

Cites Work

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• A posteriori error estimates for elliptic problems with Dirac delta source terms
• Spike controls for elliptic and parabolic PDEs
• \(L^ 2\) estimates for the finite element method for the Dirichlet problem with singular data
• Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints
• Error-bounds for finite element method
• Finite element convergence for singular data
• Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side
• A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements
• Finite Element Methods for Navier-Stokes Equations
• Control of an Elliptic Problem with Pointwise State Constraints
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• Interior Estimates for Ritz-Galerkin Methods
• Local error estimates for finite element discretization of the Stokes equations
• Parabolic Control Problems in Measure Spaces with Sparse Solutions
• The discrete commutator property of approximation spaces