A variational conjugate gradient method for determining the fluid velocity of a slow viscous flow

DOI10.1080/00036810600841928zbMath1110.35104OpenAlexW1979417571WikidataQ58128663 ScholiaQ58128663MaRDI QIDQ3423632

B. Tomas Johansson, Daniel Lesnic

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00036810600841928

zbMATH Keywords

regularizationCauchy problemconjugate gradient methodminimizationStokes systemoptimal-order convergence rate

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Stokes and related (Oseen, etc.) flows (76D07) Boundary element methods applied to problems in fluid mechanics (76M15) Linear operators and ill-posed problems, regularization (47A52)

Related Items (6)

Missing boundary data recovery using Nash games: the Stokes system ⋮ Recovering boundary data: the Cauchy Stokes system ⋮ The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity ⋮ An accelerated alternating procedure for the Cauchy problem for the Helmholtz equation ⋮ Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations ⋮ A numerical study on the solution of the Cauchy problem in elasticity

Cites Work

• Modelling two-dimensional flow past arbitrary cylindrical bodies using boundary element formulations
• Boundary element two-dimensional solution of an inverse Stokes problem
• The boundary element method for the solution of Stokes equations in two-dimensional domains
• Optimal algorithms for linear ill-posed problems yield regularization methods
• Conjugate Gradient-Boundary Element Method for the Cauchy Problem in Elasticity
• The Cauchy problem for Laplace's equation via the conjugate gradient method
• The regularizing properties of the adjoint gradient method in ill-posed problems
• Stable numerical solution to linear inverse heat conduction problems by the conjugate gradient method
• An alternating method for the stationary Stokes system

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