Read e-book online Advanced Computational Methods in Science and Engineering PDF

By Rob F. Remis, Neil V. Budko (auth.), Barry Koren, Kees Vuik (eds.)

ISBN-10: 3642033431

ISBN-13: 9783642033438

ISBN-10: 364203344X

ISBN-13: 9783642033445

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 [57] 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.

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Advanced Computational Methods in Science and Engineering by Rob F. Remis, Neil V. Budko (auth.), Barry Koren, Kees Vuik (eds.)

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