Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 11
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Original Articles

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

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Pages 1327-1341 | Received 01 Feb 2006, Accepted 05 Jun 2006, Published online: 25 Jan 2007

References

  • Bastay , G , Johansson , T , Kozlov , VA and Lesnic , D . 2006 . An alternating method for the stationary Stokes system. . Zeitschrift für Angewandte Mathematik und Mechanik , 86 : 268 – 280 .
  • Bush , MB . 1983 . Modelling two-dimensional flow past arbitrary cylindrical bodies using boundary element formulations. . Applied Mathematical Modelling , 7 : 386 – 394 .
  • Engl , HW , Hanke , M and Neubauer , A . 1996 . Regularization of Inverse Problems , Dordrecht : Kluwer Academic Publishers Group .
  • Hanke , M and Hansen , PC . 1993 . Regularization methods for large-scale problems, . Surveys on Mathematics for Industry , 3 : 253 – 315 .
  • Hanke , M . 1995 . The minimal error conjugate gradient method is a regularization method. . Proceedings of the American Mathematical Society , 123 : 3487 – 3497 .
  • Háo , DN and Reinhardt , HJ . 1995 . Stable numerical solutions to linear inverse heat conduction problems by the conjugate gradient methods. . Journal of Inverse and Ill-Posed Problems , 3 : 447 – 467 .
  • Háo , DN and Lesnic , D . 2000 . The Cauchy problem for Laplace's equation via the conjugate gradient method. . IMA Journal of Applied Mathematics , 65 : 199 – 217 .
  • Johansson , T . 2003 . “ Reconstruction of flow and temperature from boundary data, Linköping studies in science and technology ” . In Dissertations No. 832 , Linköping University . October
  • Ladyzhenskaya , OA . 1963 . The Mathematical Theory of Viscous Incompressible Flow , New York : Gordon & Breach .
  • Marin , L , Háo , DN and Lesnic , D . 2003 . Conjugate gradient-boundary element method for the Cauchy problem in elasticity. . Quarterly Journal of Mechanics and Applied Mathematics , 55 : 227 – 247 .
  • Nemirovskii , AS . 1986 . The regularizing properties of the adjoint gradient method in ill-posed problems. . USSR Computational Mathematics and Mathematical Physics , 2 : 7 – 16 .
  • Plato , R . 1990 . Optimal algorithms for linear ill-posed problems yield regularization methods. . Numerical Functional Analysis and Optimization , 11 : 111 – 118 .
  • Zeb , A , Elliott , L , Ingham , DB and Lesnic , D . 1998 . The boundary element method for the solution of Stokes equations in two-dimensional domains. . Engineering Analysis with Boundary Elements , 22 : 317 – 326 .
  • Zeb , A , Elliott , L , Ingham , DB and Lesnic , D . 2000 . Boundary element two-dimensional solution of an inverse Stokes problem. . Engineering Analysis with Boundary Elements , 24 : 75 – 88 .

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