A low-order discontinuous Petrov-Galerkin method for the Stokes equations

DOI10.1007/s00211-018-0965-3zbMath1401.65131OpenAlexW2796629565MaRDI QIDQ1661651

Sophie Puttkammer, Carsten Carstensen

Publication date: 16 August 2018

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

Full work available at URL: https://doi.org/10.1007/s00211-018-0965-3

zbMATH Keywords

adaptive mesh refinementa prioriStokesdiscontinuous Petrov Galerkina posteriorilow-order discretization

Mathematics Subject Classification ID

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 (7)

Adaptive Least-Squares, Discontinuous Petrov-Galerkin, and Hybrid High-Order Methods ⋮ Nonlinear discontinuous Petrov-Galerkin methods ⋮ The DPG-star method ⋮ On a relation of discontinuous Petrov-Galerkin and least-squares finite element methods ⋮ Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions ⋮ A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds ⋮ Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods

Uses Software

• na14

Cites Work

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• Computational Survey on A Posteriori Error Estimators for the Crouzeix–Raviart Nonconforming Finite Element Method for the Stokes Problem
• The Mathematical Theory of Finite Element Methods
• Low-Order Discontinuous Petrov--Galerkin Finite Element Methods for Linear Elasticity

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