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Digitale Medien

Numerical Simulation of Bingham Fluid Flow Using Prox-Regularization (2000)

Schmitt, H.

Springer

Journal of optimization theory and applications 106 (2000), S. 603-626

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ISSN: 1573-2878

Schlagwort(e): prox-regularization methods ; convex variational problems ; Bingham flow problems ; viscoplastic fluid flows

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract A special case of fluid flow, the laminar flow of a Bingham fluid through a cylindrical pipe, can be described as a convex minimization problem where the objective function J0 is nondifferentiable. J0 can be approximated easily by smooth functions J∈, but for a small parameter ∈〉0, the corresponding discretized problems are ill-conditioned. The use of proximal point methods to set well ill-posed problems or to stabilize ill-conditioned problems is well known. We present some numerical experiences of comparing standard prox-regularization methods with weak norm-based regularization methods.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1004661513837

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