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Rankin, Richard

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Author ID: rankin.richard Recent zbMATH articles by "Rankin, Richard"
Published as: Rankin, Richard; Rankin, R.
Documents Indexed: 23 Publications since 1984

Publications by Year

Citations contained in zbMATH Open

19 Publications have been cited 110 times in 86 Documents Cited by Year
Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements. Zbl 1180.65141
Ainsworth, Mark; Rankin, Richard
15
2008
Guaranteed computable bounds on quantities of interest in finite element computations. Zbl 1242.65232
Ainsworth, Mark; Rankin, Richard
13
2012
A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard
12
2018
Fully computable error bounds for discontinuous Galerkin finite element approximations on meshes with an arbitrary number of levels of hanging nodes. Zbl 1208.65155
Ainsworth, Mark; Rankin, Richard
10
2010
Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes. Zbl 1208.65156
Ainsworth, Mark; Rankin, Richard
9
2011
Adaptive finite element methods for an optimal control problem involving Dirac measures. Zbl 1375.49049
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
8
2017
Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity. Zbl 1188.74050
Ainsworth, Mark; Rankin, Richard
7
2010
Robust a posteriori error estimation for the nonconforming fortin–soulie finite element approximation. Zbl 1198.65215
Ainsworth, Mark; Rankin, Richard
7
2008
On the adaptive selection of the parameter in stabilized finite element approximations. Zbl 1276.65076
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
6
2013
Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation. Zbl 1373.65065
Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
5
2017
Realistic computable error bounds for three-dimensional finite element analyses in linear elasticity. Zbl 1228.74076
Ainsworth, Mark; Rankin, Richard
4
2011
Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem. Zbl 1333.76050
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
3
2012
An a posteriori error analysis for an optimal control problem with point sources. Zbl 1415.49002
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
3
2018
Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions. Zbl 1455.65207
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
3
2013
Error estimation for low-order adaptive finite element approximations for fluid flow problems. Zbl 1433.76065
Allendes, Alejandro; Durán, Francisco; Rankin, Richard
1
2016
Computable error bounds for finite element approximation on nonpolygonal domains. Zbl 1433.65273
Ainsworth, Mark; Rankin, Richard
1
2017
A posteriori error estimators for stabilized finite element approximations of an optimal control problem. Zbl 1440.49035
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard
1
2018
Maximum-norm a posteriori error estimates for an optimal control problem. Zbl 1430.49033
Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
1
2019
A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations. Zbl 1395.49028
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard
1
2018
Maximum-norm a posteriori error estimates for an optimal control problem. Zbl 1430.49033
Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
1
2019
A unified analysis of algebraic flux correction schemes for convection-diffusion equations. Zbl 1422.65368
Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard
12
2018
An a posteriori error analysis for an optimal control problem with point sources. Zbl 1415.49002
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
3
2018
A posteriori error estimators for stabilized finite element approximations of an optimal control problem. Zbl 1440.49035
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard
1
2018
A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations. Zbl 1395.49028
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard
1
2018
Adaptive finite element methods for an optimal control problem involving Dirac measures. Zbl 1375.49049
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
8
2017
Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation. Zbl 1373.65065
Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
5
2017
Computable error bounds for finite element approximation on nonpolygonal domains. Zbl 1433.65273
Ainsworth, Mark; Rankin, Richard
1
2017
Error estimation for low-order adaptive finite element approximations for fluid flow problems. Zbl 1433.76065
Allendes, Alejandro; Durán, Francisco; Rankin, Richard
1
2016
On the adaptive selection of the parameter in stabilized finite element approximations. Zbl 1276.65076
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
6
2013
Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions. Zbl 1455.65207
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
3
2013
Guaranteed computable bounds on quantities of interest in finite element computations. Zbl 1242.65232
Ainsworth, Mark; Rankin, Richard
13
2012
Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem. Zbl 1333.76050
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
3
2012
Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes. Zbl 1208.65156
Ainsworth, Mark; Rankin, Richard
9
2011
Realistic computable error bounds for three-dimensional finite element analyses in linear elasticity. Zbl 1228.74076
Ainsworth, Mark; Rankin, Richard
4
2011
Fully computable error bounds for discontinuous Galerkin finite element approximations on meshes with an arbitrary number of levels of hanging nodes. Zbl 1208.65155
Ainsworth, Mark; Rankin, Richard
10
2010
Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity. Zbl 1188.74050
Ainsworth, Mark; Rankin, Richard
7
2010
Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements. Zbl 1180.65141
Ainsworth, Mark; Rankin, Richard
15
2008
Robust a posteriori error estimation for the nonconforming fortin–soulie finite element approximation. Zbl 1198.65215
Ainsworth, Mark; Rankin, Richard
7
2008
all top 5

Cited by 145 Authors

8 Otárola, Enrique
8 Rankin, Richard
7 Vohralík, Martin
6 Allendes, Alejandro
5 Ainsworth, Mark
5 Ern, Alexandre
5 Kuzmin, Dmitri
4 Dolejší, Vít
4 John, Volker
4 Knobloch, Petr
4 Salgado, Abner J.
2 Abdulle, Assyr
2 Bertrand, Fleurianne
2 Cai, Zhiqiang
2 De Luna, Manuel Quezada
2 Du, Shaohong
2 Fuica, Francisco
2 Hauke, Guillermo
2 He, Cuiyu
2 Irisarri, Diego
2 Izsák, Ferenc
2 Jha, Abhinav K.
2 Kim, Kwang Yeon
2 Quero, Daniel
2 Riedlbeck, Rita
2 Rupp, Andreas
2 Sinha, Rajen Kumar
2 Zhou, Zhenhua
2 Zhu, Lingxue
1 Almeida, Regina C.
1 Alonso, Ana E.
1 Baccouch, Mahboub
1 Bai, Yun
1 Barrenechea, Gabriel R.
1 Bartoš, Ondřej
1 Behnoudfar, Pouria
1 Bird, Robert E.
1 Boffi, Daniele
1 Bordas, Stéphane Pierre Alain
1 Botti, Michele
1 Bouillon, B.
1 Bucki, Marek
1 Bui, Huu Phuoc
1 Calo, Victor Manuel
1 Cangiani, Andrea
1 Cao, Huihui
1 Carstensen, Carsten
1 Caselli, Gabriele
1 Catabriga, Lucia
1 Čermák, Martin
1 Chen, Yanping
1 Chiaramonte, Maurizio M.
1 Chouly, Franz
1 Coombs, William M.
1 Dahmen, Tim
1 Dedner, Andreas S.
1 Dello Russo, Anahí
1 Di Pietro, Daniele Antonio
1 Diebels, Stefan
1 Díez, Pedro
1 Duprez, Michel
1 Endtmayer, Bernhard
1 Feng, Xinlong
1 Frank, Florian
1 Frerichs, Derk
1 Fu, Guosheng
1 Georgoulis, Emmanuil H.
1 Giacomini, Matteo
1 Giani, Stefano
1 Granet, Sylvie
1 Guzmán, Johnny
1 Hajduk, Hennes
1 Hecht, Frédéric
1 Horváth, Tamás L.
1 Hu, Jun
1 Huang, Xueling
1 Huang, Yunqing
1 Hwang, Yoongu
1 Ji, Xia
1 Kazymyrenko, Kyrylo
1 Korsmeier, Paul
1 Langer, Ulrich
1 Leng, Haitao
1 Li, Bowen
1 Li, Shiying
1 Li, Youai
1 Lin, Runchang
1 Lin, Tao
1 Lleras, Vanessa
1 Lobos, Claudio
1 Lohmann, Christoph
1 Lozinski, Alexei
1 Lukáš, Petr
1 Madhavan, Pravin
1 Mallik, Gouranga
1 Malta, Sandra Mara Cardoso
1 Manohar, Ram P.
1 Mao, Wenting
1 May, Georg
1 Merdon, Christian
...and 45 more Authors

Citations by Year