By Barry Koren, Kees Vuik
The target of the current e-book is to teach, in a vast and but deep approach, the cutting-edge in computational technological know-how and engineering. Examples of subject matters addressed are: quickly and exact numerical algorithms, model-order aid, grid computing, immersed-boundary equipment, and particular computational equipment for simulating a wide selection of hard difficulties, difficulties reminiscent of: fluid-structure interplay, turbulent flames, bone-fracture therapeutic, micro-electro-mechanical platforms, failure of composite fabrics, hurricane surges, particulate flows, etc. the most gain provided to readers of the publication is a well-balanced, up to date evaluation over the sphere of computational technology and engineering, via in-depth articles via experts from the separate disciplines.
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Additional info for Advanced Computational Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering)
We observe the asymptotic h-independent convergence rate for the iterative solver on the finer grids; with fixed wavenumber and h decreasing, approximately the same number of iterations is needed to satisfy the termination criterion, for both discretizations. However, on the coarse grids, where we have kh > 1, we see a drastic increase in the number of iterations needed to converge, especially for the second-order discretization. Shifted-Laplacian Preconditioners for Heterogeneous Helmholtz Problems (a) k = 40 41 (b) k = 80 Fig.
M. DE Z EEUW, Incomplete line LU as smoother and as preconditioner. In: W. Hackbusch, G. ), Incomplete decompositions (ILU) - algorithms, theory, and applications. Vieweg, Braunschweig, 215–224, 1993. Int. J. Num. Methods in Fluids 20: 59–74, 1995. On Numerical Issues in Time Accurate Laminar Reacting Gas Flow Solvers S. van Veldhuizen, C. R. Kleijn Abstract The numerical modeling of laminar reacting gas flows in thermal Chemical Vapor Deposition (CVD) processes commonly involves the solution of advectiondiffusion-reaction equations for a large number of reactants and intermediate species.
W. O OSTERLEE , C. V UIK , A novel multigrid based preconditioner for heterogeneous Helmholtz problems. SIAM J. Sci. Comput. 27: 1471-1492, 2006. Shifted-Laplacian Preconditioners for Heterogeneous Helmholtz Problems 45 19. A. E RLANGGA , Advances in Iterative Methods and Preconditioners for the Helmholtz Equation Archives Comput. , 15: 37-66, 2008. 20. M. B. VAN G IJZEN , Y. A. E RLANGGA , C. V UIK , Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian SIAM J.
Advanced Computational Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering) by Barry Koren, Kees Vuik