Research Results: grouped under the topics: 1) Mutiscale and Domain Decomposition, 2) Computational Image Processing, and 3) Mortar FE, Fluid flow, Nonlinear fluid (ERF), etc.
| T.Rahman | Yet another multiscale finite element for the multiscale problem | In preparation 2012 |
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| Y.Ma P.Bjørstad T.Rahman X.Xu |
Domain decomposition preconditioners for a discontinuous Galerkin formulation of the multiscale elliptic problem | Submitted arXiv:1203.4044 (2012) |
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| Y.Ma T.Rahman X.Xu |
FETI-DP method for a discontinuous Galerkin discretization of the multiscale elliptic problem | Submitted (2012) |
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| L.marcinkowski T.Rahman |
A FETI-DP method for Crouzeix-Raviart finite element discretization | CMAM vol. 12, 2012, pp. xx-xx |
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| T.Rahman | Schwarz preconditioned CG algorithm for the mortar finite element | Numerical Algorithms vol. 58, no. 2, 2011, pp. 235-260 |
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| L.Marcinkowski T.Rahman J.Valdman |
A 3D Crouzeix-Raviart mortar finite element | Computing vol. 86, no. 4, 2009, pp. 313-330 |
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| T.Rahman X.Xu |
A multilevel preconditioner for the mortar method for nonconforming P1 finite element | ESAIM-M2AN vol. 43, no. 3, 2009, pp. 429-444 |
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| L.Marcinkowski 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 |
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| T.Rahman X.Xu 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 |
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| X.Xu S.H.Lui 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 |
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| P.Bjørstad M.Dryja T.Rahman |
Additive Schwarz methods for elliptic mortar finite element problems | Numerische Mathematik vol. 95, 2003, pp. 427-457 |
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| X.Feng T.Rahman |
An additive average Schwarz method for the plate bending problem | J. Numer. Math. vol. 10, 2002, pp. 109-125 |
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| P.Bjørstad M.Dryja T.Rahman |
Additive Schwarz for anisotropic elliptic problems | IMA Vol. Math. Appl. vol. 120, 2000, pp. 279-294 |
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| T.Rahman X.Xu R.Hoppe |
On an additive Schwarz preconditioner for the Crouzeix-Raviart mortar finite element | LNCSE vol. 40, 2004, pp. 335-342 |
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| P.Bjørstad M.Dryja T.Rahman |
Efficient Schwarz methods for elliptic mortar finite element problems | In Domain Decomposition Methods in Sciences and Engineering, N. Debit, etc. eds., CIMNE, Barcelona, 2002, pp. 305-312 | <link> |
| A.Malyshev T.Rahman |
Multi-dimensional TV-Stokes | In preparation | <link> |
| C.Elo A.Malyshev T.Rahman |
On the dual formulation of the TV-Stokes minimization | Submitted | <link> |
| W.Litvinov T.Rahman X.-C.Tai |
A modified TV-Stokes model for image processing | SIAM J. Sci. Comp. vol. 33, 2011, pp. 1574-1597 |
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| C.Elo A.Malyshev T.Rahman |
A dual formulation of the TV-Stokes algorithm for image denoising | LNCS vol. 5567, 2009, pp. 307-318 |
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| T.Rahman X.-C.Tai T.Rahman |
A TV-Stokes denoising algorithm | LNCS vol. 4485, 2007, pp. 473-483 |
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| T.Rahman J.Valdman |
Fast Matlab assembly of FEM stiffness and mass matrices in 2D and 3D: nodal elements | Appl. Math. Comp. doi:10.1016/j.amc.2011.08.043 |
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| J.Nordbotten T.Rahman S.Repin J.Valdman |
A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model | CMAM vol. 10, no. 3, 2010, pp. 302-314 |
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| T.Rahman P.Bjørstad 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 |
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| W.Litvinov T.Rahman 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 |
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| R.Hoppe W.Litvinov T.Rahman |
Problems of stationary flow of electrorheological fluids in the cylindrical coordinate system | SIAM J. Appl. Math. vol. 65, no. 5, 2005, pp. 1633-1656 |
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| T.Rahman X.Xu |
A new variant of the mortar technique for the Crouzeix-Raviart finite element | LNCSE vol. 55, 2006, pp. 463-470 |
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| R.Moe T.Rahman O.Sævareid R.Teigland |
Porting and parallel performance of the industrial CFD code MUSIC | LNCS vol. 1067, 1997, pp. 12-19 |
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| A.Braathen J.Cook A.C.Damhaug T.Rahman |
Parallelization of the SWAN surface wave analysis code | LNCS vol. 1067, 1997, pp. 36-42 |
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| R.Hoppe W.Litvinov T.Rahman |
Mathematical modelling and numerical simulation of electrorheological devices and systems | In Numerical Methods for Scientific Computing, Variational Problems and Applications, E.Heikkola, etc. eds., CIMNE, Barcelona, 2004, 80-93 | <link> |