The optimisation of the mesh in first-order systems least-squares methods

YJM Tourigny

doi:10.1007/s10915-004-4614-x

The optimisation of the mesh in first-order systems least-squares methods

YJM Tourigny

Research output: Contribution to journal › Article (Academic Journal) › peer-review

3 Citations (Scopus)

Abstract

We describe an algorithm for optimising the mesh in the least-squares finite element discretisation of first-order systems of partial differential equations. The key feature of the method is that the optimisation process is based entirely on the solution of local PDE problems. We apply the algorithm to the Stokes equations for the flow of a viscous incompressible fluid, and to a convection diffusion equation where convection dominates.

Translated title of the contribution	The optimisation of the mesh in first-order systems least-squares methods
Original language	English
Pages (from-to)	219 - 245
Number of pages	27
Journal	Journal of Scientific Computing
Volume	24 (2)
DOIs	https://doi.org/10.1007/s10915-004-4614-x
Publication status	Published - Aug 2005

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Publisher: Springer/Plenum Publishers
Other identifier: IDS Number: 966KD

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10.1007/s10915-004-4614-x

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title = "The optimisation of the mesh in first-order systems least-squares methods",

abstract = "We describe an algorithm for optimising the mesh in the least-squares finite element discretisation of first-order systems of partial differential equations. The key feature of the method is that the optimisation process is based entirely on the solution of local PDE problems. We apply the algorithm to the Stokes equations for the flow of a viscous incompressible fluid, and to a convection diffusion equation where convection dominates.",

author = "YJM Tourigny",

note = "Publisher: Springer/Plenum Publishers Other identifier: IDS Number: 966KD ",

year = "2005",

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doi = "10.1007/s10915-004-4614-x",

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AU - Tourigny, YJM

N1 - Publisher: Springer/Plenum Publishers Other identifier: IDS Number: 966KD

PY - 2005/8

Y1 - 2005/8

N2 - We describe an algorithm for optimising the mesh in the least-squares finite element discretisation of first-order systems of partial differential equations. The key feature of the method is that the optimisation process is based entirely on the solution of local PDE problems. We apply the algorithm to the Stokes equations for the flow of a viscous incompressible fluid, and to a convection diffusion equation where convection dominates.

AB - We describe an algorithm for optimising the mesh in the least-squares finite element discretisation of first-order systems of partial differential equations. The key feature of the method is that the optimisation process is based entirely on the solution of local PDE problems. We apply the algorithm to the Stokes equations for the flow of a viscous incompressible fluid, and to a convection diffusion equation where convection dominates.

U2 - 10.1007/s10915-004-4614-x

DO - 10.1007/s10915-004-4614-x

M3 - Article (Academic Journal)

VL - 24 (2)

SP - 219

EP - 245

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

SN - 0885-7474

ER -

The optimisation of the mesh in first-order systems least-squares methods

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