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Algebraic approach to domain decomposition

100%

Práger M.

Banach Center Publications

1994

tom 29

nr 1

207-214

An iterative procedure containing two parameters for solving linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numerical example is given as an illustration.

Operator-splitting and Lagrange multiplier domain decomposition methods for numerical simulation of two coupled Navier-Stokes fluids

100%

Bresch D., Koko J.

International Journal of Applied Mathematics and Computer Science

2006

tom 16

nr 4

419-429

We present a numerical simulation of two coupled Navier-Stokes flows, using ope-rator-split-ting and optimization-based non-overlapping domain decomposition methods. The model problem consists of two Navier-Stokes fluids coupled, through a common interface, by a nonlinear transmission condition. Numerical experiments are carried out with two coupled fluids; one with an initial linear profile and the other in rest. As expected, the transmission condition generates a recirculation within the fluid in rest.

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Penalties, Lagrange multipliers and Nitsche mortaring

88%

Grossmann C.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2010

tom 30

nr 2

205-220

Penalty methods, augmented Lagrangian methods and Nitsche mortaring are well known numerical methods among the specialists in the related areas optimization and finite elements, respectively, but common aspects are rarely available. The aim of the present paper is to describe these methods from a unifying optimization perspective and to highlight some common features of them.

Ograniczanie wyników

1 Banach Center Publications

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 International Journal of Applied Mathematics and Computer Science

1 Bresch D.

1 Grossmann C.

1 Koko J.

1 Práger M.

1 2010

1 2006

1 1994

Wyniki wyszukiwania

Algebraic approach to domain decomposition

Operator-splitting and Lagrange multiplier domain decomposition methods for numerical simulation of two coupled Navier-Stokes fluids

Penalties, Lagrange multipliers and Nitsche mortaring