پديد آورنده :
راغ نژاد، بلقيس
عنوان :
حل عددي معادلات موج وابسته به زمان با روش گالركين ناپيوسته
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
علوم رياضي - رياضي كاربردي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
مهدي تاتاري
توصيفگر ها :
آناليز فوريه , فوق همگرايي , چند جمله ايهاي لاگرانژ , گسسته سازي كامل
تاريخ نمايه سازي :
21/10/93
استاد داور :
داود ميرزايي،مجيد گازر
چكيده انگليسي :
Numerical solution of discontinuous Galerkin method for time dependent wave equations Belgheys Raghnejad b ragh@math iut ac ir 2013 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Mehdi Tatari mtatari@cc iut ac ir Advisor Dr Reza Mokhtari mokhtari@cc iut ac ir 2010 MSC 05C15 53C42 Keywords Discontinuous Galerkin method Fourier analysis Superconvergence Fully discretized Lagrangian polynomials Abstract This thesis is an extension and generalization of the work s done by The DG method hasfound rapid applications in such diverse areas such as aeroacoustics electro magnetism gas dynam ics granular ows magnetohydrodynamics meteorology modeling of shallow water oceanography oil recovery simulation semiconductor device simulation transport of contaminant in porous media turbomachinery turbulent ows viscoelastic ows and weather forecasting among many others Dis continuous Galerkin DG methods belong to the class of nite element methods The nite elementfunction spacecorresponding to discontinuous Galerkin DG methods consists of piecewise polyno mials or other simple functions which are allowed to be completely discontinuous across elementinterfaces Therefore using nite element terminologies discontinuous Galerkin DG methods arethe most extreme case of nonconforming nite element methods DG methods are a class of niteelement methods using completely discontinuous piecewise polynomials as basis functions The rstDG method was introduced by Reed and Hill in 1973 to solve the neutron transport equation Dis continuous Galerkin method is used for solving wave equation especially for long times simulation In this investigation in order to space discretization of the wave equation the discontinuous Galerkinmethod was used Error Analysis for Discontinuous Galerkin method using Fourier analysis for lin ear time dependent convection equations with periodic boundary conditions was expanded and super
استاد راهنما :
مهدي تاتاري
استاد داور :
داود ميرزايي،مجيد گازر
