A Lagrange multiplier/fictitious domain method for the Dirichlet problem -- generalization to some flow problems

DOI10.1007/BF03167383zbMath0835.76047MaRDI QIDQ1894998

Tsorng-Whay Pan, Jacques Periaux, Roland Glowinski

Publication date: 7 September 1995

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

angle of attackNACA0012 airfoilGinzburg-Landau equationsoperator splitting methodsaddle-point systemKármán vortex sheddingPeaceman-Rachford schemedomain imbedding methodsUzawa/conjugate gradient algorithm

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

• Domain imbedding methods for the Stokes equations
• A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics
• Asymptotics for the minimization of a Ginzburg-Landau functional
• A fictitious domain method for Dirichlet problem and applications
• A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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