139 research outputs found

    Nitsche's method for Kirchhoff plates

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    We introduce a Nitsche's method for the numerical approximation of the Kirchhoff-Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties

    On Nitsche's method for elastic contact problems

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    We show quasi-optimality and a posteriori error estimates for the frictionless contact problem between two elastic bodies with a zero-gap function. The analysis is based on interpreting Nitsche's method as a stabilised finite element method for which the error estimates can be obtained with minimal regularity assumptions and without the saturation assumption. We present three different Nitsche's mortaring techniques for the contact boundary each corresponding to a different stabilising term. Our numerical experiments show the robustness of Nitsche's method and corroborates the efficiency of the a posteriori error estimators

    Mortaring for linear elasticity using mixed and stabilized finite elements

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    The purpose of this work is to study mortar methods for linear elasticity using standard low order finite element spaces. Based on residual stabilization, we introduce a stabilized mortar method for linear elasticity and compare it to the unstabilized mixed mortar method. For simplicity, both methods use a Lagrange multiplier defined on a trace mesh inherited from one side of the interface only. We derive a quasi-optimality estimate for the stabilized method and present the stability criteria of the mixed P1−P1P_1-P_1 approximation. Our numerical results demonstrate the stability and the convergence of the methods for tie contact problems. Moreover, the results show that the mixed method can be successfully extended to three dimensional problems

    Recognizing design patterns in C++ programs with the integration of Columbus and Maisa

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    A method for recognizing design patterns from C++ programs is presented. The method consists of two separate phases, analysis and reverse engineering of the C++ code, and architectural pattern matching over the reverse-engineered intermediate code representation. It is shown how the pattern recognition effect can be realized by integrating two specialized software tools, the reverse engineering framework Columbus and the architectural metrics analyzer Maisa. The method and the integrated power of the tool set are illustrated with small experiments

    Aatelismies porvarina : amiraali Carl Tersmeden ja hÀnen afÀÀrinsÀ

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    Tuntematon Viapori – innovaatiokeskus ja talouselĂ€mĂ€n vilkastuttaja

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    Viaporia on tutkittu yllÀttÀvÀn vÀhÀn. Linnoituksen arkkitehtuuri, historian vaiheet ja linnoituksen rakennuttajan Augustin EhrensvÀrdin elÀmÀntyö tunnetaan pÀÀpiirteissÀÀn, mutta tÀysin vaille vastausta on jÀÀnyt kysymys siitÀ, mikÀ vaikutus Viaporilla oli Uudellamaalla, Suomessa ja ItÀmeren alueella. Miten Viaporin rakentaminen vaikutti Helsingin porvariston liiketoimiin ja elÀmÀÀn ylipÀÀtÀÀn sekÀ millainen innovatiivinen vaikutus linnoituksella oli alueellaan? MikÀ oli Viaporin merkitys
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