Precise FEM solution of a corner singularity using an adjusted mesh

DOI10.1002/fld.929zbMath1066.65120OpenAlexW2040228911MaRDI QIDQ4667664

Jakub Šístek, Jaroslav Novotný, Pavel Burda

Publication date: 21 April 2005

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.929

zbMATH Keywords

numerical resultserror estimatesfinite element methodmesh refinementL-shaped domaincorner-like singularitiessteady Navier-Stokes equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) 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) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (7)

An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons ⋮ Discontinuous Galerkin methods using poly-sinc approximation ⋮ Weighted finite element method for the Stokes problem with corner singularity ⋮ Convergence rate estimation of poly-sinc-based discontinuous Galerkin methods ⋮ New Approximate Method for Solving the Stokes Problem in a Domain with Corner Singularity ⋮ Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method ⋮ A highly-accurate finite element method with exponentially compressed meshes for the solution of the Dirichlet problem of the generalized Helmholtz equation with corner singularities

Cites Work

• Finite Element Methods for Navier-Stokes Equations
• Unnamed Item

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