B Summary of publications
B.2 Other publications
B.2.1 Journals with impact factor
[134]Veit, A., Merta, M., Zapletal, J., and Lukáš, D. Efficient solution of time-domain boundary integral equations arising in sound-hard scattering. International Journal for Numer-ical Methods in Engineering 107, 5 (2016), 430–449.
We consider the efficient numerical solution of the three-dimensional wave equation with Neumann boundary conditions via time-domain boundary integral equations. A space-time Galerkin method withC∞-smooth, compactly supported basis functions in time and piecewise polynomial basis functions in space is employed. We discuss the structure of the system matrix and its efficient parallel assembly. Different preconditioning strategies for the solution of the arising systems with block Hessenberg matrices are proposed and investigated numerically. Fur-thermore, a C++ implementation parallelized by OpenMP and MPI in shared and distributed memory, respectively, is presented. The code is part of the boundary element library BEM4I.
Results of numerical experiments including convergence and scalability tests up to a thousand cores on a cluster are provided. The presented implementation shows good parallel scalability of the system matrix assembly. Moreover, the proposed algebraic preconditioner in combination with the FGMRES solver leads to a significant reduction of the computational time.
[78] Kačmařík, M., Douša, J., and Zapletal, J. Comparison of GPS slant wet delays acquired by different techniques. Acta Geodynamica et Geomaterialia 9, 4 (2012), 427–433.
Slant wet delay (SWD) measurements from a ground-based GPS observation network pro-vide accurate, high-resolution moisture information for mesoscale analysis. In this study, we compared SWD simulated from a 9-km MM5 model in a prefrontal squall line event against actual GPS SWD observations by NOAA’s GPS network. We found that the model simulation did not capture abrupt moisture changes and small-scale variations observed in the nonisotropic component of slant wet delays associated with the squall line. This result suggests that SWD measurements can be very useful in improving model moisture analysis.
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