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sisvu:description Modeling of the problems of continuum mechanics. Principal laws of continuum mechanics. Scalar problems of continuum mechanics: field problems, heat transfer problems. Problems of theory of elasticity. Fluid mechanics problems. Solution of continuum mechanics problems, boundary value problems. Differential and variational formulations. Weighted residual method: Galerkin method, the least-squares method, collocation methods. The Rayleigh-Ritz method. Principle of virtual work. Finite difference method. Description of derivatives and boundary condition. Critical consideration of finite difference method. Formulation of finite volume method. Application of finite volume method to the fluid mechanics problems. Solution other problems of continuum mechanics. Formulation of finite element method. Application of finite element method to problems of theory of elasticity. Solution other problems of continuum mechanics. Formulation of boundary element method. Application of boundary element method to problems of theory of elasticity. Solution other problems of continuum mechanics. Time discretization. Explicit and implicit solution methods. Solution methods of linear equations system. Critical consideration of defferent numerical methods. Consistency, convergency, stability, error estimation. (en)
sisvu:description Modeliranje problema mehanike kontinuuma, osnovni zakoni mehanike kontinuuma. Skalarni problemi mehanike kontinuuma: problemi polja, problemi prijenosa topline. Problemi teorije elastičnosti, problemi mehanike fluida. Rješavanje problema mehanike kontinuuma, problem rubnih vrijednosti. Diferencijalna i varijacijska formulacija. Metoda težinskog reziduuma: Galerkinova metoda, metoda najmanjih kvadrata, kolokacijske metode. Rayleigh-Ritzova metoda, princip virtualnih radova. Metoda konačnih razlika, prikaz derivacija, opisivanje rubnih uvjeta, kritički osvrt na metodu konačnih razlika. Formulacija metode konačnih volumena. Primjena metode konačnih volumena na probleme mehanike fluida. Rješavanje ostalih problema mehanike kontinuuma. Formulacija metode konačnih elemenata. Primjena metode konačnih elemenata na probleme teorije elastičnosti. Rješavanje ostalih problema mehanike kontinuuma. Formulacija metode rubnih elemenata. Primjena metode rubnih elemenata na probleme teorije elastičnosti. Rješavanje ostalih problema mehanike kontinuuma. Diskretizacija po vremenu. Eksplicitne i implicitne metode rješavanja Metode rješavanja sustava linearnih jednadžbi Kritički osvrt na različite numeričke metode, konzistentnost, stabilnost, konvergencija, procjena greške. (hr)
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