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  1. Domain Decomposition Methods in Science and Engineering XXIV, Lecture Notes in Computational Science and Engineering 125. P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, and O. B. Widlund eds. Springer International Publishing AG, 2018.
  2. . Eikeland, L. Marcinkowsk, and T. Rahman, Adaptively enriched coarse space for the discontinuous Galerkin multiscale problems. IMA J. Numer. Anal., In review, 3rd round. Available online arXiv:1706.02325[math.NA].
  3. B. Wu, T. Rahman, and X.-C. Tai, Sparse-data Based 3D Surface Reconstruction for Cartoon and Map. Mathematics and Visualization, to appear. Available online arXiv:17*.* [math.NA].
  4. E. Eikeland, L. Marcinkowsk, and T. Rahman, Overlapping Schwarz Methods with Adaptive Coarse Spaces for Multiscale Problems in 3D. Numerische Mathematik, to appear. Available online arXiv:1611.00968 [math.NA].
  5. L. Marcinkowsk and T. Rahman, Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems. ETNA, vol. 49, 2018, pp. 28{40.

6.. L. Marcinkowski, T. Rahman, A. Loneland, and J. Valdman, Additive Schwarz preconditioner for the general finite volume element discretization of symmetric elliptic problems. BIT Numerical Mathematics, vol. 56(3),2016, pp. 967{993.

7.. A. Loneland, L. Marcinkowski, and T. Rahman, Additive average Schwarz method for a Crouzeix-Raviart Finite Volume Element Discretization of Elliptic Problems with Heterogeneous Coefficients. Numerische Mathematik, vol. 134, 2016, pp. 91{118.

  1. A. Loneland, L. Marcinkowski, and T. Rahman, Edge based Schwarz methods for the Crouzeix-Raviart finite volume element discretization of elliptic problems. ETNA, vol. 44, 2015, pp. 443{461.
  2. T. Rahman and J. Valdman, Fast Matlab assembly of FEM stiffness and mass matrices in 2D and 3D: nodal elements. Appl. Math. Comp., vol. 219(13), 2013, pp. 7151-7158.
  3. L. Marcinkowski and T. Rahman, A FETI-DP method for Crouzeix-Raviart finite element discretization. Comp. Meth. Appl. Math., vol. 12(1), 2012, pp. 73-91.
  4. W. Litvinov, T. Rahman, and X.-C. Tai, A modified TV-Stokes model for image processing. SIAM J. Sci.Comp., vol. 33, 2011, pp. 1574-1597.
  5. T. Rahman, Schwarz preconditioned CG algorithm for the mortar finite element.

Numerical Algorithms, vol. 58, no. 2, 2011, pp. 235-260.

  1. J. Nordbotten, T. Rahman, S. Repin, and J. Valdman, A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model. Comp. Meth. Appl. Math., vol. 10, no. 3, 2010, pp. 302-314.
  2. L. Marcinkowski, T. Rahman, and J. Valdman, A 3D Crouzeix-Raviart mortar finite element. Computing,vol. 86, no. 4, 2009, pp. 313{330.
  3. T. Rahman and X. Xu, A multilevel preconditioner for the mortar method for nonconforming P1 finite element.ESAIM-M2AN, vol. 43, no. 3, 2009, pp. 429{444.
  4. L. Marcinkowski and T. Rahman Neumann-Neumann algorithms for a mortar Crouzeix-Raviart element for

second order elliptic problems. BIT Numer. Math., vol. 95, 2008, pp. 427{457.

  1. T. Rahman, P. E. Bjørstad and X. Xu, The Crouzeix-Raviart FE on nonmatching grids with an approximate mortar condition. SIAM J. Numer. Anal., vol. 46, 2007/2008, pp. 496{516.
  2. W. Litvinov, T. Rahman, and R. Hoppe, Model of an electro-rheological shock absorber and coupled problem

for partial and ordinary differential equations with variable unknown domain. Europ. J. Appl. Math., vol. 18,2007, pp. 513{536.

  1. T. Rahman, X. Xu, and R. Hoppe, An additive Schwarz method for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients. Numerische Mathematik, vol. 101, no. 3, 2005, pp. 551{572.
  2. R. Hoppe, W. Litvinov, and T. Rahman, Problems of stationary flow of electro-rheological fluids in the cylindrical coordinate system. SIAM J. Appl. Math., vol. 65, no. 5, 2005, pp. 1633{1656.
  3. X. Xu, S. H. Lui, and T. Rahman, A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation. IMA J. Numer. Anal., vol. 24, 2004, pp. 97{122.
  4. P. E. Bjørstad, M. Dryja, and T. Rahman Additive Schwarz methods for elliptic mortar finite element problems. Numerische Mathematik, vol. 95, 2003, pp. 427{457.
  5. X. Feng and T. Rahman, An additive average Schwarz method for the plate bending problem. J. Numer.Math., vol. 10, 2002, pp. 109{125.
  6. P. E. Bjørstad, M. Dryja, and T. Rahman, Additive Schwarz for anisotropic elliptic problems. IMA Vol.Math. Appl., vol. 120, Springer-Verlag, 2000, pp. 279{294.
  7. P. Bjørstad, M. J. Gander, A. Loneland, and T. Rahman, Proved convergence properties of SHEM forAS investigated numerically. Lecture Notes in Computational Science and Engineering, Springer Verlag,20**. (DD24, to appear)
  8. L. Marcinkowski and T. Rahman, Additive Schwarz with vertex based adaptive coarse space for multiscale problems in 3D. Lecture Notes in Computational Science and Engineering, Springer Verlag, 20**. (DD24,

to appear)

  1. E. Eikeland, L. Marcinkowski and T. Rahman, A Study of the effects of irregular subdomain boundaries on some domain decomposition algorithms. Lecture Notes in Computational Science and Engineering,vol 116, Springer Verlag, 2017, pp. 295{302.
  2. L. Marcinkowski and T. Rahman, Two new enriched multiscale coarse spaces for Additive Average Schwarz method. Lecture Notes in Computational Science and Engineering, vol. 116, Springer Verlag, 2016,pp. 389{396.
  3. L. Marcinkowski and T. Rahman, Schwarz Preconditioner with face based coarse space for multiscale elliptic problems in 3D. Lecture Notes in Computer Science, vol. 9573-9574, Springer Verlag, 2016, pp. 345{354.
  4. L. Marcinkowski and T. Rahman, An iterative regularization algorithm for the TV-Stokes in image processing.

Lecture Notes in Computer Science, vol. 9573-9574, Springer Verlag, 2016, pp. 381{390.

31 S. Korotov and T. Rahman, On conforming local post-refinement of adjacent tetrahedral and hexahedral meshes.

Lecture Notes in Computer Science, vol. 9573-9574, Springer Verlag, 2016, pp. 365{370.

  1. L. Marcinkowski, A. Loneland, and T. Rahman, Schwarz methods for a Crouzeix-Raviart finite volumeelement discretization of elliptic problems. Lecture Notes in Computational Science and Engineering, vol.104, Springer Verlag, 2016, pp. 595{602.
  2. A. Loneland, L. Marcinkowski, and T. Rahman, Additive average Schwarz method for the Crouzeix-Raviart finite volume element discretization of elliptic problems. Lecture Notes in Computational Science and Engineering, vol. 104, Springer Verlag, 2016, pp. 587{594.
  3. L. Marcinkowski and T. Rahman, Parallel preconditioner for the finite volume element discretization of elliptic problems. Lecture Notes in Computer Science, vol. 8385, Springer Verlag, 2014, pp. 469-478.
  4. L. Marcinkowski and T. Rahman, A parallel preconditioner for a FETI-DP method for the Crouzeix-Raviart finite element. Lecture Notes in Computational Science and Engineering, vol. 98, Springer Verlag, 2014,pp. 697{705.
  5. C. Elo, A. Malyshev, and T. Rahman, A dual formulation of the TV-Stokes algorithm for image denoising.Lecture Notes in Computer Science, vol. 5567, Springer-Verlag, 2009, pp. 307{318.
  6. T. Rahman, X.-C. Tai, and S. Osher, A TV-Stokes denoising algorithm. Lecture Notes in ComputerScience, vol. 4485, Springer-Verlag, 2007, pp. 473{483.
  7. T. Rahman, and X. Xu, A new variant of the mortar technique for the Crouzeix-Raviart finite element. Lecture Notes in Computational Science and Engineering, vol. 55, Springer Verlag, 2006, pp. 463{470.
  8. T. Rahman, X. Xu, and R. Hoppe, On an additive Schwarz preconditioner for the Crouzeix-Raviart mortar finite element. Lecture Notes in Computational Science and Engineering, vol. 40, Springer Verlag, 2004,pp. 335{342.

40.. R. Moe, T. Rahman, O. Sævareid, and R. Teigland, Porting and parallel performance of the industrial CFD

code MUSIC. Lecture Notes in Computer Science, vol. 1067, Springer-Verlag, 1997, pp. 12{19.

41.A. Braathen, J. Cook, A.C. Damhaug, T. Rahman, and O. Sævareid. Parallelization of the SWAN surface wave analysis code, Lecture Notes in Computer Science, vol. 1067, Springer-Verlag, 1997, pp. 36{42.

  1. R. Hoppe, W. Litvinov, and T. Rahman, Mathematical modelling and numerical simulation of electrorheological devices and systems. In Numerical Methods for Scientific Computing, Variational Problems and Applications, E. Heikkola, Y. Kuznetsov, P. Neittaanm¨aki, and O. Pironneau, eds., CIMNE, Barcelona, 2004,pp. 80{93.
  2. R. Hoppe, W. Litvinov, and T. Rahman, Modelling and computation of axially symmetric flows of electrorheological fluids. In Computational Methods in Sciences and Engineering, Proceedings of ICCMSE 2003 in Kastoria, Greece, T.E. Simos, ed., World Scientific, Singapore, 2003, pp. 236{241.
  3. P. E. Bjørstad, M. Dryja, and T. Rahman, Efficient Schwarz methods for elliptic mortar finite element problems. In Domain Decomposition Methods in Sciences and Engineering, N. Debit, M. Garbey, R. Hoppe,D. E. Keyes, Y. Kuznetsov, and J. Periaux, eds., CIMNE, Barcelona, 2002, pp. 305{312.

 

 

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