University of Hertfordshire

By the same authors

The Dual Reciprocity Method For Solving Biharmonic Problems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Standard

The Dual Reciprocity Method For Solving Biharmonic Problems. / Kane, Stephen; Davies, Alan; Toutip, W.

WIT Transactions on Modelling and Simulation 2002. Vol. 32 WIT Press, 2002.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Harvard

Kane, S, Davies, A & Toutip, W 2002, The Dual Reciprocity Method For Solving Biharmonic Problems. in WIT Transactions on Modelling and Simulation 2002. vol. 32, WIT Press. https://doi.org/10.2495/BE020341

APA

Kane, S., Davies, A., & Toutip, W. (2002). The Dual Reciprocity Method For Solving Biharmonic Problems. In WIT Transactions on Modelling and Simulation 2002 (Vol. 32). WIT Press. https://doi.org/10.2495/BE020341

Vancouver

Kane S, Davies A, Toutip W. The Dual Reciprocity Method For Solving Biharmonic Problems. In WIT Transactions on Modelling and Simulation 2002. Vol. 32. WIT Press. 2002 https://doi.org/10.2495/BE020341

Author

Kane, Stephen ; Davies, Alan ; Toutip, W. / The Dual Reciprocity Method For Solving Biharmonic Problems. WIT Transactions on Modelling and Simulation 2002. Vol. 32 WIT Press, 2002.

Bibtex

@inproceedings{c15b3f5197f644a88e48536a383fb216,
title = "The Dual Reciprocity Method For Solving Biharmonic Problems",
abstract = "The dual reciprocity method is now established as a suitable approach to the boundary element method solution of non-homogeneous field problems. The Poisson problem was probably the first such problem to be solved using dual reciprocity and has been the subject of much interest. By introducing a secondary dependent variable biharmonic problems may be written as a pair of coupled Poisson-type problems and as such are amenable to a dual reciprocity approach. The procedure is straightforward but some care is required when applying boundary conditions. If the boundary conditions can be expressed explicitly in terms of the primary variable and the secondary variable then the equations uncouple. If however, the boundary conditions are expressed in terms of the primary variable only then a fully coupled system must be solved. The process is well-suited to the analysis of the bending of a flatplate. Simply-supported and clamped boundary conditions correspond respectively to the two cases.",
author = "Stephen Kane and Alan Davies and W Toutip",
year = "2002",
doi = "10.2495/BE020341",
language = "English",
volume = "32",
booktitle = "WIT Transactions on Modelling and Simulation 2002",
publisher = "WIT Press",

}

RIS

TY - GEN

T1 - The Dual Reciprocity Method For Solving Biharmonic Problems

AU - Kane, Stephen

AU - Davies, Alan

AU - Toutip, W

PY - 2002

Y1 - 2002

N2 - The dual reciprocity method is now established as a suitable approach to the boundary element method solution of non-homogeneous field problems. The Poisson problem was probably the first such problem to be solved using dual reciprocity and has been the subject of much interest. By introducing a secondary dependent variable biharmonic problems may be written as a pair of coupled Poisson-type problems and as such are amenable to a dual reciprocity approach. The procedure is straightforward but some care is required when applying boundary conditions. If the boundary conditions can be expressed explicitly in terms of the primary variable and the secondary variable then the equations uncouple. If however, the boundary conditions are expressed in terms of the primary variable only then a fully coupled system must be solved. The process is well-suited to the analysis of the bending of a flatplate. Simply-supported and clamped boundary conditions correspond respectively to the two cases.

AB - The dual reciprocity method is now established as a suitable approach to the boundary element method solution of non-homogeneous field problems. The Poisson problem was probably the first such problem to be solved using dual reciprocity and has been the subject of much interest. By introducing a secondary dependent variable biharmonic problems may be written as a pair of coupled Poisson-type problems and as such are amenable to a dual reciprocity approach. The procedure is straightforward but some care is required when applying boundary conditions. If the boundary conditions can be expressed explicitly in terms of the primary variable and the secondary variable then the equations uncouple. If however, the boundary conditions are expressed in terms of the primary variable only then a fully coupled system must be solved. The process is well-suited to the analysis of the bending of a flatplate. Simply-supported and clamped boundary conditions correspond respectively to the two cases.

U2 - 10.2495/BE020341

DO - 10.2495/BE020341

M3 - Conference contribution

VL - 32

BT - WIT Transactions on Modelling and Simulation 2002

PB - WIT Press

ER -