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Author

Jan Zapletal

Other affiliations: University of Ostrava
Bio: Jan Zapletal is an academic researcher from Technical University of Ostrava. The author has contributed to research in topics: Boundary element method & Xeon Phi. The author has an hindex of 7, co-authored 33 publications receiving 149 citations. Previous affiliations of Jan Zapletal include University of Ostrava.

Papers
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Journal ArticleDOI
TL;DR: The multiresolution approach effectively prevents the appearance of non-physical geometry oscillations in the optimised shapes due to the absence of a volume mesh and there is no need for mesh regeneration or smoothing during the optimisation.

38 citations

Journal ArticleDOI
TL;DR: The numerical results performed on the Xeon multi-core processor and two generations of the Xeon Phi many-core platform validate the proposed implementation and highlight the importance of vectorization necessary to exploit the features of modern hardware.
Abstract: In the paper we study the performance of the regularized boundary element quadrature routines implemented in the BEM4I library developed by the authors. Apart from the results obtained on the classical multi-core architecture represented by the Intel Xeon processors we concentrate on the portability of the code to the many-core family Intel Xeon Phi. Contrary to the GP-GPU programming accelerating many scientific codes, the standard x86 architecture of the Xeon Phi processors allows to reuse the already existing multi-core implementation. Although in many cases a simple recompilation would lead to an inefficient utilization of the Xeon Phi, the effort invested in the optimization usually leads to a better performance on the multi-core Xeon processors as well. This makes the Xeon Phi an interesting platform for scientists developing a software library aimed at both modern portable PCs and high performance computing environments. Here we focus at the manually vectorized assembly of the local element contributions and the parallel assembly of the global matrices on shared memory systems. Due to the quadratic complexity of the standard assembly we also present an assembly sparsified by the adaptive cross approximation based on the same acceleration techniques. The numerical results performed on the Xeon multi-core processor and two generations of the Xeon Phi many-core platform validate the proposed implementation and highlight the importance of vectorization necessary to exploit the features of modern hardware.

13 citations

Journal ArticleDOI
TL;DR: An efficient analytic evaluation of boundary integral operators based on the simultaneous evaluation of all three linear shape functions defined on a boundary triangle results in a speedup of 2.35–3.15 times, validate the performed optimizations and show that vectorization needs to be an inherent part of modern scientific codes.
Abstract: In this paper, we describe an efficient analytic evaluation of boundary integral operators. Firstly, we concentrate on a novel approach based on the simultaneous evaluation of all three linear shape functions defined on a boundary triangle. This results in a speedup of 2.35–3.15 times compared to the old approach of separate evaluations. In the second part we comment on the OpenMP parallelized and vectorized implementation of the suggested formulae. The employed code optimizations include techniques such as data alignment and padding, array-of-structures to structure-of-arrays data transformation, or unit-strided memory accesses. The presented scalability results, with respect both to the number of threads employed and the width of the SIMD register obtained on an Intel® Xeon™ processor and two generations of the Intel® Xeon Phi™ family (co)processors, validate the performed optimizations and show that vectorization needs to be an inherent part of modern scientific codes.

11 citations

Journal ArticleDOI
TL;DR: A new parallel solver for the weakly singular space–time boundary integral equation for the heat equation is introduced and vectorization and threading in shared memory are employed to ensure intra-node efficiency.
Abstract: In this paper we introduce a new parallel solver for the weakly singular space–time boundary integral equation for the heat equation. The space–time boundary mesh is decomposed into a given number of submeshes. Pairs of the submeshes represent dense blocks in the system matrices, which are distributed among computational nodes by an algorithm based on a cyclic decomposition of complete graphs ensuring load balance. In addition, we employ vectorization and threading in shared memory to ensure intra-node efficiency. We present scalability experiments on different CPU architectures to evaluate the performance of the proposed parallelization techniques. All levels of parallelism allow us to tackle large problems and lead to an almost optimal speedup.

10 citations


Cited by
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Journal ArticleDOI
TL;DR: In this paper, a review of the state of the art in Global Navigation Satellite System (GNSS) meteorology in Europe is presented, which covers the advances in GNSS processing for derivation of tropospheric products.
Abstract: . Global navigation satellite systems (GNSSs) have revolutionised positioning, navigation, and timing, becoming a common part of our everyday life. Aside from these well-known civilian and commercial applications, GNSS is now an established atmospheric observing system, which can accurately sense water vapour, the most abundant greenhouse gas, accounting for 60–70 % of atmospheric warming. In Europe, the application of GNSS in meteorology started roughly two decades ago, and today it is a well-established field in both research and operation. This review covers the state of the art in GNSS meteorology in Europe. The advances in GNSS processing for derivation of tropospheric products, application of GNSS tropospheric products in operational weather prediction and application of GNSS tropospheric products for climate monitoring are discussed. The GNSS processing techniques and tropospheric products are reviewed. A summary of the use of the products for validation and impact studies with operational numerical weather prediction (NWP) models as well as very short weather prediction (nowcasting) case studies is given. Climate research with GNSSs is an emerging field of research, but the studies so far have been limited to comparison with climate models and derivation of trends. More than 15 years of GNSS meteorology in Europe has already achieved outstanding cooperation between the atmospheric and geodetic communities. It is now feasible to develop next-generation GNSS tropospheric products and applications that can enhance the quality of weather forecasts and climate monitoring. This work is carried out within COST Action ES1206 advanced global navigation satellite systems tropospheric products for monitoring severe weather events and climate (GNSS4SWEC, http://gnss4swec.knmi.nl ).

189 citations

Book ChapterDOI
01 Jan 1983
TL;DR: In this article, the basic integral equations for two-dimensional elastic linear material problems are introduced and extended to deal with initial stress and strain type loads, such kind of loads are not only important to take into account temperature or other similar loads, but also to model nonlinear material behaviour when used in conjunction with a well established successive elastic solution technique.
Abstract: This chapter is concerned with the introduction of the basic integral equations for two-dimensional elastic linear material problems. It starts by briefly reviewing the partial differential equations for linear elastic material and introducing the necessary notations involved in the formulation. These governing equations are also extended to deal with problems in which initial stress and strain type loads are applied. Such kind of loads are not only important to take into account temperature or other similar loads, but also to model nonlinear material behaviour when used in conjunction with a well established successive elastic solution technique.

124 citations

Journal ArticleDOI
TL;DR: Simpson et al. as discussed by the authors developed a T-spline isogeometric boundary element method (IGABEM) to shape sensitivity analysis and gradient-based shape optimization in three dimensional linear elasticity.

114 citations

Journal ArticleDOI
TL;DR: In this paper, an acoustic topology optimization approach using isogeometric boundary element methods based on subdivision surfaces is presented to optimize the distribution of sound adsorption materials adhering to structural surfaces.

69 citations

Journal ArticleDOI
TL;DR: A new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation is developed.

69 citations