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Johnston, Peter Rex

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Author ID: johnston.peter-rex Recent zbMATH articles by "Johnston, Peter Rex"
Published as: Johnston, Peter R.; Johnston, Peter Rex
Documents Indexed: 47 Publications since 1991
Co-Authors: 12 Co-Authors with 28 Joint Publications
76 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 358 times in 183 Documents Cited by Year
A sinh transformation for evaluating nearly singular boundary element integrals. Zbl 1119.65318
Johnston, Peter R.; Elliott, David
52
2005
A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals. Zbl 1194.65143
Johnston, Barbara M.; Johnston, Peter R.; Elliott, David
51
2007
Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals. Zbl 0935.65130
Johnston, Peter R.
46
1999
A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method. Zbl 1262.65043
Johnston, Barbara M.; Johnston, Peter R.; Elliott, David
37
2013
Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals. Zbl 0966.65093
Johnston, Peter R.
20
2000
The iterated sinh transformation. Zbl 1195.65183
Elliott, David; Johnston, Peter R.
20
2008
Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals. Zbl 1116.65032
Elliott, David; Johnston, Peter R.
13
2007
Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals. Zbl 1297.65179
Johnston, Peter R.; Johnston, Barbara M.; Elliott, David
12
2013
Error estimation of quadrature rules for evaluating singular integrals in boundary element problems. Zbl 0962.65092
Johnston, Peter R.; Elliott, David
12
2000
\(C^2\)-continuous elements for boundary element analysis. Zbl 0929.74120
Johnston, Peter R.
12
1997
Transformations for evaluating singular boundary element integrals. Zbl 1014.65019
Johnston, Peter R.; Elliott, David
10
2002
A generalisation of Telles’ method for evaluating weakly singular boundary element integrals. Zbl 0984.65123
Johnston, Peter R.; Elliott, David
9
2001
A comparison of transformation methods for evaluating two-dimensional weakly singular integrals. Zbl 1022.65130
Johnston, Barbara M.; Johnston, Peter R.
7
2003
Second order Overhauser elements for boundary element analysis. Zbl 0858.65119
Johnston, P. R.
7
1996
Clenshaw-Curtis and Gauss-Legendre quadrature for certain boundary element integrals. Zbl 1186.65030
Elliott, David; Johnston, Barbara M.; Johnston, Peter R.
7
2008
A sensitivity study of conductivity values in the passive bidomain equation. Zbl 1218.92007
Johnston, Peter R.
6
2011
A cylindrical model for studying subendocardial ischaemia in the left ventricle. Zbl 1027.92010
Johnston, Peter R.
5
2003
Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function. Zbl 1135.41010
Elliott, David; Johnston, Peter R.
5
2008
The effect of simplifying assumptions in the bidomain model of cardiac tissue: application to ST segment shifts during partial ischaemia. Zbl 1076.92028
Johnston, Peter R.
4
2005
An analysis of the zero-crossing method for choosing regularization parameters. Zbl 1014.65140
Johnston, Peter R.; Gulrajani, Ramesh M.
4
2002
A numerical simulation of unsteady blood flow through multi-irregular arterial stenoses. Zbl 1193.76166
Mustapha, Norzieha; Mandal, Prashanta K.; Johnston, Peter R.; Amin, Norsarahaida
4
2010
Estimates of the error in Gauss-Legendre quadrature for double integrals. Zbl 1252.65062
Elliott, David; Johnston, Peter R.; Johnston, Barbara M.
4
2011
Applying the stochastic Galerkin method to epidemic models with uncertainty in the parameters. Zbl 1358.92089
Harman, David B.; Johnston, Peter R.
3
2016
Diffusion in composite media: Solution with simple eigenvalues and eigenfunctions. Zbl 0754.35049
Johnston, Peter R.
3
1991
A complete error analysis for the evaluation of a two-dimensional nearly singular boundary element integral. Zbl 1306.65172
Elliott, David; Johnston, Barbara M.; Johnston, Peter R.
3
2015
A simple device to improve the accuracy of evaluating weakly singular boundary element integrals. Zbl 0996.65126
Johnston, Peter R.; Johnston, Barbara M.
3
2002
A new approach to the determination of cardiac potential distributions: application to the analysis of electrode configurations. Zbl 1097.92015
Johnston, Barbara M.; Johnston, Peter R.; Kilpatrick, David
2
2006
A modified non-linear transformation method for evaluating weakly singular boundary integrals. Zbl 1035.65141
Johnston, Barbara M.; Johnston, Peter R.
2
2004
A solution method for the Graetz problem for non-Newtonian fluids with Dirichlet and Neumann boundary conditions. Zbl 0796.76002
Johnston, P. R.
2
1994
Split operator finite element method for modelling pulmonary gas exchange. Zbl 1334.92102
Bignell, Georgina Juanita; Johnston, Peter R.
1
2007
Inverse electrocardiographic transformations: Dependence on the number of epicardial regions and body surface data points. Zbl 0792.92012
Johnston, Peter R.; Walker, Stephen J.; Hyttinen, Jari A. K.; Kilpatrick, David
1
1994
How ischaemic region shape affects ST potentials in models of cardiac tissue. Zbl 1319.92019
Barnes, J. P.; Johnston, P. R.
1
2012
Applying the stochastic Galerkin method to epidemic models with uncertainty in the parameters. Zbl 1358.92089
Harman, David B.; Johnston, Peter R.
3
2016
A complete error analysis for the evaluation of a two-dimensional nearly singular boundary element integral. Zbl 1306.65172
Elliott, David; Johnston, Barbara M.; Johnston, Peter R.
3
2015
A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method. Zbl 1262.65043
Johnston, Barbara M.; Johnston, Peter R.; Elliott, David
37
2013
Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals. Zbl 1297.65179
Johnston, Peter R.; Johnston, Barbara M.; Elliott, David
12
2013
How ischaemic region shape affects ST potentials in models of cardiac tissue. Zbl 1319.92019
Barnes, J. P.; Johnston, P. R.
1
2012
A sensitivity study of conductivity values in the passive bidomain equation. Zbl 1218.92007
Johnston, Peter R.
6
2011
Estimates of the error in Gauss-Legendre quadrature for double integrals. Zbl 1252.65062
Elliott, David; Johnston, Peter R.; Johnston, Barbara M.
4
2011
A numerical simulation of unsteady blood flow through multi-irregular arterial stenoses. Zbl 1193.76166
Mustapha, Norzieha; Mandal, Prashanta K.; Johnston, Peter R.; Amin, Norsarahaida
4
2010
The iterated sinh transformation. Zbl 1195.65183
Elliott, David; Johnston, Peter R.
20
2008
Clenshaw-Curtis and Gauss-Legendre quadrature for certain boundary element integrals. Zbl 1186.65030
Elliott, David; Johnston, Barbara M.; Johnston, Peter R.
7
2008
Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function. Zbl 1135.41010
Elliott, David; Johnston, Peter R.
5
2008
A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals. Zbl 1194.65143
Johnston, Barbara M.; Johnston, Peter R.; Elliott, David
51
2007
Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals. Zbl 1116.65032
Elliott, David; Johnston, Peter R.
13
2007
Split operator finite element method for modelling pulmonary gas exchange. Zbl 1334.92102
Bignell, Georgina Juanita; Johnston, Peter R.
1
2007
A new approach to the determination of cardiac potential distributions: application to the analysis of electrode configurations. Zbl 1097.92015
Johnston, Barbara M.; Johnston, Peter R.; Kilpatrick, David
2
2006
A sinh transformation for evaluating nearly singular boundary element integrals. Zbl 1119.65318
Johnston, Peter R.; Elliott, David
52
2005
The effect of simplifying assumptions in the bidomain model of cardiac tissue: application to ST segment shifts during partial ischaemia. Zbl 1076.92028
Johnston, Peter R.
4
2005
A modified non-linear transformation method for evaluating weakly singular boundary integrals. Zbl 1035.65141
Johnston, Barbara M.; Johnston, Peter R.
2
2004
A comparison of transformation methods for evaluating two-dimensional weakly singular integrals. Zbl 1022.65130
Johnston, Barbara M.; Johnston, Peter R.
7
2003
A cylindrical model for studying subendocardial ischaemia in the left ventricle. Zbl 1027.92010
Johnston, Peter R.
5
2003
Transformations for evaluating singular boundary element integrals. Zbl 1014.65019
Johnston, Peter R.; Elliott, David
10
2002
An analysis of the zero-crossing method for choosing regularization parameters. Zbl 1014.65140
Johnston, Peter R.; Gulrajani, Ramesh M.
4
2002
A simple device to improve the accuracy of evaluating weakly singular boundary element integrals. Zbl 0996.65126
Johnston, Peter R.; Johnston, Barbara M.
3
2002
A generalisation of Telles’ method for evaluating weakly singular boundary element integrals. Zbl 0984.65123
Johnston, Peter R.; Elliott, David
9
2001
Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals. Zbl 0966.65093
Johnston, Peter R.
20
2000
Error estimation of quadrature rules for evaluating singular integrals in boundary element problems. Zbl 0962.65092
Johnston, Peter R.; Elliott, David
12
2000
Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals. Zbl 0935.65130
Johnston, Peter R.
46
1999
\(C^2\)-continuous elements for boundary element analysis. Zbl 0929.74120
Johnston, Peter R.
12
1997
Second order Overhauser elements for boundary element analysis. Zbl 0858.65119
Johnston, P. R.
7
1996
A solution method for the Graetz problem for non-Newtonian fluids with Dirichlet and Neumann boundary conditions. Zbl 0796.76002
Johnston, P. R.
2
1994
Inverse electrocardiographic transformations: Dependence on the number of epicardial regions and body surface data points. Zbl 0792.92012
Johnston, Peter R.; Walker, Stephen J.; Hyttinen, Jari A. K.; Kilpatrick, David
1
1994
Diffusion in composite media: Solution with simple eigenvalues and eigenfunctions. Zbl 0754.35049
Johnston, Peter R.
3
1991
all top 5

Cited by 313 Authors

17 Johnston, Peter Rex
13 Gu, Yan
11 Xie, Guizhong
9 Elliott, David L.
9 Johnston, Barbara M.
9 Zhang, Yaoming
8 Chen, Wen
8 Zhang, Jianming
7 Ma, Hang
7 Zhong, Yudong
6 Lv, Jiahe
5 Chen, Jeng-Tzong
5 Niu, Zhongrong
5 Wang, Liangwen
4 Cheng, Changzheng
4 Dong, Yunqiao
4 Gao, Xiaowei
4 Gong, Yanpeng
4 Hu, Zongjun
4 Li, Xiaochao
4 Lin, Weicheng
4 Sidi, Avram
4 Veneziani, Alessandro
4 Zhang, Chuanzeng
4 Zhou, Fenglin
4 Zieniuk, Eugeniusz
3 Du, Wenliao
3 Feng, Xiating
3 Gao, Hongwei
3 Han, Zhilin
3 He, Wenbin
3 Nintcheu Fata, Sylvain
3 Shen, Baotang
3 Shi, Jingyu
3 Tornberg, Anna-Karin
3 Trevelyan, Jon
3 Yun, Beong In
2 af Klinteberg, Ludvig
2 Azikri de Deus, Hilbeth P.
2 Barone, Alessandro
2 Bin, Hu
2 Carr, Elliot Joseph
2 Cong, Li
2 Dehghan Takht Fooladi, Mehdi
2 Dong, Chunying
2 Feng, Shizhe
2 Fenton, Flavio H.
2 Hattori, Gabriel
2 He, Donghong
2 Hou, Junjian
2 Jiang, Quan
2 Jiao, Yuyong
2 Ju, Chuanming
2 Kamiya, Norio
2 Kilpatrick, David
2 Li, Guangyao
2 Lysaker, Marius
2 Miao, Yu
2 Nielsen, Bjørn Fredrik
2 Pasternak, Iaroslav M.
2 Qin, Xianyun
2 Rüberg, Thomas
2 Scott, Michael A.
2 Sladek, Jan
2 Sladek, Vladimir
2 Tan, Fei
2 Tian, Yu
2 Yan, Fei
2 Yang, Huanhuan
2 Zhang, Bo
2 Zhang, Jinyang
2 Zhongrong, Niu
2 Zongjun, Hu
1 Adesanya, Samuel Olumide
1 Alastrue, Victor
1 Amoura, N.
1 Assari, Pouria
1 Aussal, Matthieu
1 Ávila S., Claudio R. jun.
1 Awrejcewicz, Jan
1 Aznárez, Juan José
1 Barbosa Pinto Silva, Thales A.
1 Barry, Steven Ian
1 Bayram, Mustafa
1 Beck, André T.
1 Bendahmane, Mostafa
1 Benitez, Francisco G.
1 Benson, David J.
1 Berriochoa Esnaola, Elías
1 Boccia, Edda
1 Bordas, Stéphane Pierre Alain
1 Bordón, Jacob David Rodriguez
1 Borges, Leonardo Silveira
1 Borkowski, Mariusz
1 Brandt, Luca
1 Bürger, Raimund
1 Cachafeiro, Alicia
1 Cai, Xing
1 Cala Rodriguez, Francisco
1 Cano, Alfredo
...and 213 more Authors
all top 5

Cited in 42 Serials

61 Engineering Analysis with Boundary Elements
15 Journal of Computational and Applied Mathematics
13 International Journal for Numerical Methods in Engineering
11 Computer Methods in Applied Mechanics and Engineering
9 Mathematical Biosciences
7 Applied Mathematics and Computation
7 Computational Mechanics
6 Computers & Mathematics with Applications
4 Applied Numerical Mathematics
4 Communications in Numerical Methods in Engineering
3 Journal of Computational Physics
3 Applied Mathematical Modelling
3 Journal of Shanghai University
2 Inverse Problems
2 Mathematics of Computation
2 BIT
2 Journal of Scientific Computing
2 SIAM Journal on Scientific Computing
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Engineering Computations
1 Acta Mechanica
1 Applicable Analysis
1 International Journal for Numerical Methods in Fluids
1 Journal of Fluid Mechanics
1 Chaos, Solitons and Fractals
1 Calcolo
1 Numerische Mathematik
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 Numerical Algorithms
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. A. Solids
1 Regular and Chaotic Dynamics
1 CEJOR. Central European Journal of Operations Research
1 Advances in Difference Equations
1 Advances in Applied Mathematics and Mechanics
1 Mathematics
1 International Journal of Applied and Computational Mathematics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year