A posteriori error estimates in \(W^{1,p}\times L^p\) spaces for the Stokes system with Dirac measures

DOI10.1016/j.camwa.2021.04.017OpenAlexW3003744419MaRDI QIDQ2027601

Enrique Otárola, Felipe Lepe, Francisco Fuica, Daniel Quero

Publication date: 27 May 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08325

zbMATH Keywords

a posteriori error estimatesStokes equationsadaptive finite elementsDirac measures

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

Projection in negative norms and the regularization of rough linear functionals ⋮ A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source ⋮ Analysis of an HDG method for the Navier–Stokes equations with Dirac measures ⋮ Error estimates of EDG-HDG methods for the Stokes equations with Dirac measures ⋮ Error estimates for FEM discretizations of the Navier-Stokes equations with Dirac measures

Uses Software

• MUMPS

Cites Work

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