2,597 research outputs found

    Mass-lumped high-order cell methods for the time-dependent Maxwell's equations

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    Our goal is the efficient numerical approximation of solutions to the time-domain linear Max-well system. Methods like the classical finite-difference time-domain method rely on the approximation of the electric and the magnetic field on two interlaced (Cartesian) grids respectively. Our method expands this idea to general triangular/tetrahedral meshes by defining a dual grid using the barycentric subdivision of the primal mesh. The resulting primal and dual ements are both composed of the same set of quadrilateral (in 2d) and hexahedral (in 3d) cells. We use Lagrangian polynomial basis functions with respect to tensor product integration points on the unit square/cube which are mapped to the physical cells and suitably combined to obtain differing, element-wise conforming bases on the dual and primal mesh respectively. This approach provides generically computable, stable high order bases. Using lumped mass matrices with respect to the defining points of the basis functions leads to block diagonal mass matrices with block-size independent of the polynomial degree. Thus the combination of the spatial discretization with explicit time-stepping schemes yields an efficient method with very little memory requirement

    Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves

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    We present a fundamental improvement of a high polynomial degree time domain cell method recently introduced by the last three authors. The published work introduced a method featuring block-diagonal system matrices where the block size and conditioning scaled poorly with respect to polynomial degree. The issue is herein bypassed by the construction of new basis functions exploiting quadrature rule based mass lumping techniques for arbitrary polynomial degrees in two dimensions for the Maxwell equations and the acoustic wave equation in the first order velocity pressure formulation. We characterize the degrees of freedom of all new discrete approximation spaces we employ for differential forms and show that the resulting block diagonal (inverse) mass matrices have block sizes independent of the polynomial degree. We demonstrate on an extensive number of examples how the new technique is applicable and efficient for large scale computations.MN

    Evidence based leadership

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    Author Markus PodduikinMasterarbeit Johannes Kepler Universität Linz 2024Arbeit gesperr

    Improving the search for monitoring tools using recommender technology

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    Author Markus Eisl BSc.Masterarbeit Universität Linz 2023Arbeit gesperr

    Improving the search for monitoring tools using recommender technology

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    Author Markus Eisl BSc.Masterarbeit Universität Linz 2023Arbeit gesperr

    metal-organic framework 4H, 4H-octafluoroazobenezene perfluoroazobenzene

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    author: Markus RödlKumulative Masterarbeit aus einem ArtikelMasterarbeit University of Innsbruck 2022Arbeit gesperr

    metal-organic framework 4H, 4H-octafluoroazobenezene perfluoroazobenzene

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    author: Markus RödlKumulative Masterarbeit aus einem ArtikelMasterarbeit University of Innsbruck 2022Arbeit gesperr

    Strategi Pelayanan Lintas Budaya Berdasarkan Markus 4:1-34

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    Harming & Katarina, Cross-cultural Service Strategy based on Mark 4: 1-34. The author conducted a study of the text of Mark 4: 1-34 using qualitative research literature study using the biblical hermeneutic principle. Based on the analysis of the text of Mark 4: 1-34 the authors find there are four cross-cultural service strategies namely by understanding local culture, using media. Harming & Katarina, Strategi Pelayanan Lintas budaya Berdasarkan Markus 4:1-34. Penulis melakukan penelitian terhadap teks Markus 4:1-34 dengan menggunakan penelitian kualitatif studi pustaka dengan menggunakan prinsip hermeneutik Alkitab. Berdasarkan analisis terhadap teks Markus 4:1-34 penulis menemukan ada empat strategi pelayanan lintas budaya yaitu dengan memahami budaya lokal, menggunakan media yang ada dalam budaya, memberdayakan potensi yang ada, dan menciptakan terobosan

    Development of a Software Tool for Analyzing Experimental Data of a Recycling Machine

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    Author DI Markus Kirchmayr, BScMasterarbeit Universität Linz 2022Arbeit nach Ablauf der Sperre auf den öffentlichen PCs in den Bibliotheken der JKU+Medizin abrufba

    Machine-Learning-Based Photometric Stereo for Fracture Surface Reconstruction of Metal Samples

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    Author Markus PrombergerMasterarbeit Johannes Kepler Universität Linz 2025Arbeit nach Ablauf der Sperre auf den öffentlichen PCs in den Bibliotheken der JKU+Medizin abrufba
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