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An adaptive mixed least squares Galerkin/Petrov finite element method (FEM) is developed for stationary conduction convection problems. The mixed least squares Galerkin/Petrov FEM is consistent and stable for any combination of discrete velocity and pressure spaces without requiring the Babuska-Brezzi stability condition. Using the general theory of Verfürth, the posteriori error estimates of the residual type are derived. Finally, numerical tests are presented to illustrate the effectiveness of the method. 相似文献
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By taking example of the unsteady Navier-Stokes equation, a kind of postpro-cessing method for the standard Galerkin approximation, which is called one step Newton method for simplicity, is proposed by applying the idea of Newton itera-tion to unsteady problems. The analysis results show that this method can greatly improve the accuracy of the standard Galerkin approximation and the numerical experiments also indicate that it is a high performance method. 相似文献
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IntroductionTomakethelongtermsimulationoftheNavier_Stokesequationspossibleduringthelastdecade,theso_callednonlinearGalerkinmethod (NGM) ,whichisbasedupontheconceptsoftheInertialManifold (IM) [1]andtheApproximateInertialManifold (AIM) [2 ],wasconstructed(seeRefs.… 相似文献