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2018
1 Bjørstad, Petter Erling; Brenner, Susanne C.; Halpern, Lawrence; Kim, Hyea Hyun; Kornhuber, Ralf; Rahman, Talal; Widlund, Olof B..
Domain Decomposition Methods in Science and Engineering XXIV. Springer Publishing Company 2018 (ISBN 978-3-319-93873-8) ;Volum 125.570 s. Lecture Notes in Computational Science and Engineering(1)
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2 Bjørstad, Petter Erling; Gander, Martin J.; Loneland, Atle; Rahman, Talal.
Does SHEM for Additive Schwarz Work Better than Predicted by Its Condition Number Estimate?. Lecture Notes in Computational Science and Engineering 2018 ;Volum 125. s. 129-137
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3 Eikeland, Erik; Marcinkowski, Leszek; Rahman, Talal.
Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D. Numerische Mathematik 2018 s. -
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4 Eikeland, Erik.
Two-Level Additive Schwarz Methods with Adaptive Coarse Spaces on Elliptic Multiscale Problems. : Universitetet i Bergen 2018 (ISBN 978-82-308-3629-3)
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5 Marcinkowski, Leszek; Rahman, Talal.
Additive average schwarz with adaptive coarse spaces: Scalable algorithms for multiscale problems. Electronic Transactions on Numerical Analysis 2018 ;Volum 49. s. 28-40
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6 Marcinkowski, Leszek; Rahman, Talal.
Additive Schwarz with vertex based adaptive coarse space for multiscale problems in 3D. Lecture Notes in Computational Science and Engineering 2018 ;Volum 125. s. 475-482
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7 Wu, Bin; Rahman, Talal; Tai, Xue-Cheng.
Sparse-Data Based 3D Surface Reconstruction for Cartoon and Map. I: Imaging, Vision and Learning Based on Optimization and PDEs. Springer 2018 ISBN 978-3-319-91273-8. s. 47-64
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2017
8 Eikeland, Erik; Marcinkowski, Leszek; Rahman, Talal.
A study of the effects of irregular subdomain boundaries on some domain decomposition algorithms. Lecture Notes in Computational Science and Engineering 2017 ;Volum 116. s. 295-302
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9 Marcinkowski, Leszek; Rahman, Talal.
Two new enriched multiscale coarse spaces for the additive average Schwarz method. Lecture Notes in Computational Science and Engineering 2017 ;Volum 116. s. 389-396
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2016
10 Korotov, Sergey; Rahman, Talal.
On conforming local post-refinement of adjacent tetrahedral and hexahedral meshes. Lecture Notes in Computer Science 2016 ;Volum 9574. s. 365-370
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11 Loneland, Atle; Marcinkowski, Leszek; Rahman, Talal.
Additive average Schwarz method for a Crouzeix-Raviart finite volume element discretization of elliptic problems. Lecture Notes in Computational Science and Engineering 2016 ;Volum 104. s. 587-594
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12 Marcinkowski, Leszek; Loneland, Atle; Rahman, Talal.
Schwarz methods for a Crouzeix-Raviart finite volume discretization of elliptic problems. Lecture Notes in Computational Science and Engineering 2016 ;Volum 104. s. 595-602
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13 Marcinkowski, Leszek; Rahman, Talal.
An iterative regularization algorithm for the TV-Stokes in image processing. Lecture Notes in Computer Science 2016 ;Volum 9574. s. 381-390
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14 Marcinkowski, Leszek; Rahman, Talal.
Schwarz preconditioner with face based coarse space for multiscale elliptic problems in 3D. Lecture Notes in Computer Science 2016 ;Volum 9574. s. 345-354
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2015
15 Loneland, Atle; Marcinkowski, Leszek; Rahman, Talal.
Additive average Schwarz method for a Crouzeix–Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients. Numerische Mathematik 2015 ;Volum Published ahead of print. s. -
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16 Loneland, Atle; Marcinkowski, Leszek; Rahman, Talal.
Edge-based Schwarz methods for the Crouzeix-Raviart finite volume element discretization of elliptic problems. Electronic Transactions on Numerical Analysis 2015 ;Volum 44. s. 443-461
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17 Marcinkowski, Leszek; Rahman, Talal; Loneland, Atle; Valdman, Jan.
Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems. BIT Numerical Mathematics 2015 ;Volum Published ahead of print. s. -
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2014
18 Marcinkowski, Leszek; Rahman, Talal.
A parallel preconditioner for a FETI-DP method for the Crouzeix-Raviart finite element. Lecture Notes in Computational Science and Engineering 2014 ;Volum 98. s. 697-705
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19 Marcinkowski, Leszek; Rahman, Talal.
Parallel preconditioner for the finite volume element discretization of elliptic problems. Lecture Notes in Computer Science 2014 ;Volum 8385 LNCS.(2) s. 469-478
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2013
20 Rahman, Talal; Valdman, Jan.
Fast MATLAB assembly of FEM matrices in 2D and 3D: Nodal elements. Applied Mathematics and Computation 2013 ;Volum 219.(13) s. 7151-7158
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2012
21 Marcinkowski, Leszek; Rahman, Talal.
A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations. Computational Methods in Applied Mathematics 2012 ;Volum 12.(1)
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2011
22 Litvinov, William G.; Rahman, Talal; Tai, Xue-Cheng.
A Modified TV-Stokes Model for Image Processing. SIAM Journal on Scientific Computing 2011 ;Volum 33.(4) s. 1574-1597
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23 Rahman, Talal.
Schwarz Preconditioned CG Algorithm for the Mortar Finite Element. Numerical Algorithms 2011 ;Volum 58.(2) s. 235-260
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24 Rahman, Talal; Valdman, Jan.
ast Matlab Assembly of FEM Stiffness and Mass Matrices in 2D and 3D: Nodal Elements. Applied Mathematics and Computation 2011 ;Volum 219.(13) s. 7151-7158
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2010
25 Nordbotten, Jan Martin; Rahman, Talal; Repin, Sergej I.; Valdman, Jan.
A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model. Computational Methods in Applied Mathematics 2010 ;Volum 10.(3) s. 302-314
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26 Gundersen, Kristian.
Two level additive Schwarz preconditioner for control volume finite element methods. : Universitetet i Bergen 2010 76 s.
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2009
27 Elo, Christoffer Artturi; Malyshev, Alexander; Rahman, Talal.
A Dual Formulation of the TV-Stokes Algorithm for Image Denoising. SSVM 2009; 2009-06-01 - 2009-06-05
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28 Elo, Christoffer Artturi; Malyshev, Alexander; Rahman, Talal.
A Dual Formulation of the TV-Stokes Algorithm for Image Denoising. Lecture Notes in Computer Science 2009 (5567) s. 307-318
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29 Elo, Christoffer; Malyshev, Alexander; Rahman, Talal.
A dual formulation of the TV-Stokes algorithm for image denoising. Lecture Notes in Computer Science 2009 ;Volum 5567. s. 307-318
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30 Marcinkowski, Leszek; Rahman, Talal; Valdman, Jan.
A 3D Crouzeix-Raviart mortar finite element. Computing 2009 ;Volum 86.(4) s. 313-330
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31 Marcinkowski, Leszek; Rahman, Talal; Valdman, Jan.
A 3D Crouzeix-Raviart mortar finite element. Computing 2009 ;Volum 86.(4) s. 313-330
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32 Rahman, Talal.
A Multilevel Preconditioner for the Mortar Method for Non-conforming P1 Finite Element. Mathematical Modelling and Numerical Analysis 2009 ;Volum 43.(3) s. 429-444
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33 Rahman, Talal; Xu, Xuejun.
A multilevel preconditioner for the mortar method for nonconforming P-1 finite element. Mathematical Modelling and Numerical Analysis 2009 ;Volum 43.(3) s. 429-444
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2008
34 Marcinkowski, Leszek; Rahman, Talal.
Neumann-Neumann algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems. BIT Numerical Mathematics 2008 ;Volum 48.(3) s. 607-626
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35 Rahman, Talal; Bjørstad, Petter Erling; Xu, Xuejun.
The Crouzeix-Raviart FE on Nonmatching Grids with an Approximate Mortar Condition. SIAM Journal on Numerical Analysis 2008 ;Volum 46.(1) s. 496-516
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2007
36 Litvinov, William; Rahman, Talal; Hoppe, Ronald H. W..
Model of an electro-rheological shock absorber and coupled problem for partial and ordinary differential equations with variable unknown domain. European journal of applied mathematics (Print) 2007 ;Volum 18.(Part 4) s. 513-536
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37 Rahman, Talal; Bjørstad, Petter Erling; Xu, Xuejun.
The Crouzeix-Raviart Fe on nonmatching grids with an approximate mortar condition. SIAM Journal on Numerical Analysis 2007 ;Volum 46.(1) s. 496-516
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38 Rahman, Talal; Tai, Xue-Cheng; Osher, Stanley.
A TV-Stokes denoising algorithm. I: Scale Space and Variational Methods in Computer Vision First International Conference, SSVM 2007, Ischia, Italy, May 30 - June 2, 2007. Proceedings. Springer 2007 ISBN 978-3-540-72822-1. s. 473-483
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2006
39 Rahman, Talal; Tai, Xue-Cheng; Osher, Stanley.
A TV-Stokes Denoising Algorithm. UCLA Applied Mathematics CAM-report 2006
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2005
40 Hoppe, Ronald H. W.; Litvinov, William; Rahman, Talal.
Problems of stationary flows of electro-rheological fluids in the cylindrical coordinate system. SIAM Journal on Applied Mathematics 2005 ;Volum 65.(5) s. 1633-1656
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41 Rahman, Talal; Xu, Xuejun.
A new variant of the mortar technique for the Crouzeix-Raviart finite element. 16th International Conference on Domain Decomposition Methods; 2005-01-12 - 2005-01-15
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42 Rahman, Talal; Xu, Xuejun; Hoppe, Ronald H. W..
Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients. Numerische Mathematik 2005 ;Volum 101.(3) s. 551-572
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2004
43 Xu, Xuejun; Lui, S. H.; Rahman, Talal.
A two level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation. IMA Journal of Numerical Analysis 2004 ;Volum 24.(1) s. 97-122
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2003
44 Bjørstad, Petter Erling; Dryja, Maksymilian; Rahman, Talal.
Additive Schwarz methods for elliptic mortar finite element problems. Numerische Mathematik 2003 ;Volum 95.(3) s. 427-457
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45 Rahman, Talal; Xu, Xuejun; Hoppe, Ronald H. W..
On an additive Schwarz preconditioner for the Crouzeix-Raviart mortar finite element. 15th International Conference on Domain Decomposition Methods; 2003-07-22
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46 Rahman, Talal; Xu, Xuejun; Lui, S. H..
An Additive Schwarz Method for the Morley Element Approximation of a Non-Linear Biharmonic Equation. 15th International Conference on Domain Decomposition Methods; 2003-07-22 - 2003-07-25
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2002
47 Feng, Xiaobing; Rahman, Talal.
An additive average Schwarz method for the plate bending problem. Journal of Numerical Mathematics 2002 ;Volum 10.(2) s. 109-125
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48 Hoppe, Ronald H. W.; Litvinov, William; Rahman, Talal.
Mathematical modelling and numerical simulation of electrorheological automobile devices and systems. International Conference on Scientific Computing; 2002-06-14
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2000
49 Bjørstad, Petter Erling; Dryja, Maksymilian; Rahman, Talal.
Additive average Schwarz methods for elliptic mortar finite element problems. Bergen: Department of Informatics, University of Bergen 2000 28 s. Reports in Informatics(197)
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50 Bjørstad, Petter Erling; Dryja, Maksymilian; Rahman, Talal.
Additive Schwarz for anisotropic elliptic problems. I: IMA Volumes in Mathematics and its Applications: Parallel Solution of Partial Differential Equations. New York: Springer-Verlag 2000 s. 279-294
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