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A.H. Sheikh ,D. Lahaye, and C. Vuik A scalable Hemholtz solver combining the shifted Laplace preconditioner with multigrid deflation. DIAM Technical Report NW11-01, Delft Institute of Applied Mathematics, Delft University of Technology, 2011. [PDF] [Bibtex].
A. H. Sheikh, D. Lahaye, and C. Vuik On the convergence of shifted Laplace preconditioner combined with multilevel deflation, Numerical Linear Algebra with Applications. . Numerical Linear Algebra with Applications. Volume 20, Issue 4, August 2013 pp 645-662, 2014. [PDF][Bibtex].
A. H. Sheikh, D. Lahaye, L.G. Ramos, R. Nabben and C. Vuik Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. . Journal of Computational Physics. Volume 322, Issue 4, October 2016 pp 473-490, 2014. [PDF][Bibtex].
S. H. Sandiko, A. H. Sheikh, A. R . Soomro, S. F. Shah On the Energetics of a Damped Beam-Like Equation for Different Boundary Conditions. . Mehran University Research Journal of Engineering and Technology. Volume 36, Issue 2, June 2017 pp 395-400, 2014. [PDF][Bibtex].
S. Qureshi, S. H. Sandilo, , A. H. Sheikh and A. A. Shaikh "Local Truncation Error and Associated Principal Error Function for an Iterative Integrator to Solve Cauchy Problems . Volume 28, Issue 4, July 2016 pp 3393-3396, 2014. [PDF][Bibtex].
A. H. Sheikh, D. Lahaye, and C. Vuik, L.G. Ramos and R. Nabben Accelerating the Shifted Laplace Preconditioner for the Helmholtz Equation by Multigrid Deflation. . Submitted, 2014.
Coarse-grid-correction preconditioner for the Helmholtz Equation. 2014 European Multigrid Conference, September 09-12, 2014, Leuven, Belgium. [Slides] [Abstract]
An Scalable Helmholtz Solver Combining the Shifted Laplace Preconditioner With Multigrid Deflation. Sparse Days Meeting , September 06-07, 2011, CERFACS , Tolouse France. [Slides].
A scalable Helmholtz solver combining the deflation with shifted Laplace preconditioner. Fifteenth Copper Mountain Conference on MULTIGRID METHODS, March 27 - 01 April 01, 2011, Colorado IL, USA. [Slides] [Abstract]
An efficient iterative scheme for the Helmholtz equation with deflation. Eleventh Copper Mountain Conference on ITERATIVE METHODS, April 04-09, 2010, Colorado IL, USA. [Slides] [Abstract]
Efficient Preconditioners with Multilevel Sequentially SemiSeparable Structure. In the 11th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), September 21-27, 2013, Rhodos, Greece. [Slides].
Fast iterative schemes for numerical solution of Helmholtz equation. In The Thirty-fourth Woudschoten Conference, October 7-9, 2009. Zeist, The Netherlands.[PDF]
On iterative solutions of Helmholtz equation. In The Thirty-fifth Woudschoten Conference, October 6-8, 2010. Zeist, The Netherlands.[PDF]
On convergence of shifted Laplace preconditioner combined with multigrid deflation. In The Thirty-sixth Woudschoten Conference, October 5-7, 2011. Zeist, The Netherlands.[PDF]
Two-Level LFA Multilevel Helmholtz Solver. In The Thirty-seventh Woudschoten Conference, October 3-5, 2012. Zeist, The Netherlands.[PDF]
Identification and Distributed Control of Large Scale Systems : an Application to Wind Farm. In 8th PhD Seminar on Wind Energy in Europe, September 12 - 13, 2012. ETH, Zurich, Switzerland. [PDF]
On convergence of shifted Laplace preconditioner combined with multigrid deflation. In Symposium on Numerical Linear Algebra - Algorithms, Applications, and Training, April 10-13, 2012. Delft, the Netherlands. [PDF]
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About Deflation Preconditioner for Helmholtz Problem . In the Group Talk of the Numerical Analysis Group, Delft Institute of Applied Mathematics, Delft University of Technology, June 13, 2013. [Slides].
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