ISSN:
1573-2878
Keywords:
prox-regularization methods
;
convex variational problems
;
Bingham flow problems
;
viscoplastic fluid flows
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004661513837
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