By Rob F. Remis, Neil V. Budko (auth.), Barry Koren, Kees Vuik (eds.)
The goal of the current ebook is to teach, in a extensive and but deep approach, the state-of-the-art in computational technological know-how and engineering. Examples of issues addressed are: speedy and exact numerical algorithms, model-order relief, grid computing, immersed-boundary equipment, and particular computational equipment for simulating a wide selection of difficult difficulties, difficulties equivalent to: fluid-structure interplay, turbulent flames, bone-fracture therapeutic, micro-electro-mechanical structures, failure of composite fabrics, hurricane surges, particulate flows, and so forth. the most gain provided to readers of the publication is a well-balanced, updated review over the sector of computational technology and engineering, via in-depth articles through experts from the separate disciplines.
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Sci. , 23: 1291–1315, 2001. 15. B. E NGQUIST, A. M AJDA , Absorbing boundary conditions for the numerical simulation of waves, Math. , 31: 629–651, 1977. 16. A. E RLANGGA , C. W. O OSTERLEE, On a class of preconditioners for the Helmholtz equation, Appl. Numer. , 50 (2004), pp. 409–425. 17. A. E RLANGGA , C. W. O OSTERLEE , Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation. Applied Num. Math. 56: 648-666, 2006. 18. A. W. O OSTERLEE , C.
Plessix We stress that while we only investigate the use of this interpolation for structured grids in this work, the use of these multigrid components enable the solution of unstructured-grid Helmholtz problems. 4 Numerical experiments In this section, we perform several numerical 2D experiments of increasing complexity. We start with the constant wavenumber problem, which serves as a benchmark for the algorithmic choices, after which we evaluate the method’s performance for a Helmholtz problem with a wedge heterogeneity, and a model of the Sigsbee field.
B. W. Oosterlee, C. A. -E. Plessix van Gijzen for their input in the project. P. MacLachlan and N. Umetani for their contribution to this article, as the present article relies on paper  of which they are the co-authors. N. Umetani performed some additional numerical experiments, especially for this paper. References 1. T. A IRAKSINEN , E. H EIKKOLA , A. P ENNANEN , J. T OIVANEN , An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation. J. Comp. Physics, 226: 1196–1210, 2007.
Advanced Computational Methods in Science and Engineering by Rob F. Remis, Neil V. Budko (auth.), Barry Koren, Kees Vuik (eds.)