The coupling of bem and fem for the two-dimensional viscous flow problem

DOI10.1080/00036818808839725zbMath0619.76028OpenAlexW2033664559WikidataQ58157797 ScholiaQ58157797MaRDI QIDQ3757549

John F. Porter, George C. Hsiao

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839725

zbMATH Keywords

Navier-Stokes equationssingular perturbationerror estimatesvariational formulationfinite elementnumerical schemeGalerkin approximationboundary elementsmall parametersobstaclepotentialsintegral equations of the first kindReynolds numberssimple-layer potentialslow viscous flowmesh widths

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to PDEs (35A15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Abstract integral equations, integral equations in abstract spaces (45N05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Basic methods in fluid mechanics (76M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems ⋮ Singularities and treatments of elliptic boundary value problems.

Cites Work

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• On the stability of integral equations of the first kind with logarithmic kernels
• A Galerkin collocation method for some integral equations of the first kind
• A finite element method for exterior interface problems
• A finite element method for some integral equations of the first kind
• On the linearized hydrodynamical equations in two dimensions
• On the stationary solutions of the Navier-Stokes equations in two dimensions
• A numerical method for the exterior Dirichlet problem for the reduced wave equation
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
• The coupling of boundary integral and finite element methods for the bidimensional exterior steady stokes problem

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