TY - JOUR A1 - Göddeke, Dominik A1 - Strzodka, Robert A1 - Mohd-Yusof, Jamaludin A1 - McCormick, Patrick A1 - Buijssen, Sven H.M. A1 - Grajewski, Matthias A1 - Turek, Stefan T1 - Exploring weak scalability for FEM calculations on a GPU-enhanced cluster JF - Parallel Computing Y1 - 2007 U6 - http://dx.doi.org/10.1016/j.parco.2007.09.002 SN - 0167-8191 VL - 33 IS - 10-11 SP - 685 EP - 699 ER - TY - JOUR A1 - Grajewski, Matthias A1 - Köster, Michael A1 - Turek, Stefan T1 - Mathematical and Numerical Analysis of a Robust and Efficient Grid Deformation Method in the Finite Element Context JF - SIAM Journal on Scientific Computing Y1 - 2009 U6 - http://dx.doi.org/10.1137/050639387 VL - 31 IS - 2 SP - 1539 EP - 1557 PB - Society for Industrial and Applied Mathematics CY - Philadelphia, Pa. ER - TY - JOUR A1 - Grajewski, Matthias A1 - Hron, Jaroslav A1 - Turek, Stefan T1 - Numerical analysis for a new non-conforming linear finite element on quadrilaterals JF - Journal of Computational and Applied Mathematics Y1 - 2006 U6 - http://dx.doi.org/10.1016/j.cam.2005.05.024 SN - 0377-0427 VL - 193 IS - 1 SP - 38 EP - 50 ER - TY - JOUR A1 - Grajewski, Matthias A1 - Hron, Jaroslav A1 - Turek, Stefan T1 - Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals JF - Applied Numerical Mathematics N2 - After a short introduction of a new nonconforming linear finite element on quadrilaterals recently developed by Park, we derive a dual weighted residual-based a posteriori error estimator (in the sense of Becker and Rannacher) for this finite element. By computing a corresponding dual solution we estimate the error with respect to a given target error functional. The reliability and efficiency of this estimator is analyzed in several numerical experiments. Y1 - 2005 U6 - http://dx.doi.org/10.1016/j.apnum.2004.09.016 SN - 0168-9274 VL - 54 IS - 3-4 SP - 504 EP - 518 PB - Elsevier CY - Amsterdam ER -