A Posteriori Error Estimate for Streamline Diffusion Method in Soving a Hyperbolic Equation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation

In this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. We prove a posteriori $ L^2(L^2)$ and error estimates for this method under minimal regularity hypothesis. Test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.

متن کامل

a posteriori $ l^2(l^2)$-error estimates with the new version of streamline diffusion method for the wave equation

in this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. we prove a posteriori $ l^2(l^2)$ and error estimates for this method under minimal regularity hypothesis. test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.

متن کامل

A posteriori error estimate for the mixed finite element method

A computable error bound for mixed finite element methods is established in the model case of the Poisson–problem to control the error in the H(div,Ω) ×L2(Ω)–norm. The reliable and efficient a posteriori error estimate applies, e.g., to Raviart–Thomas, Brezzi-Douglas-Marini, and Brezzi-DouglasFortin-Marini elements. 1. Mixed method for the Poisson problem Mixed finite element methods are well-e...

متن کامل

A robust a-posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations

We derive a robust a-posteriori error estimate for hp-adaptive discontinuous Galerkin (DG) discretizations of stationary convection-diffusion equations. We consider 1-irregular meshes consisting of parallelograms. The estimate yields global upper and lower bounds of the errors measured in terms of the natural energy norm associated with the diffusion and a semi-norm associated with the convecti...

متن کامل

The streamline diffusion method with implicit integration for the multi-dimensional Fermi Pencil Beam equation

We derive error estimates in the appropriate norms, for the streamlinediffusion (SD) finite element methods for steady state, energy dependent,Fermi equation in three space dimensions. These estimates yield optimal convergencerates due to the maximal available regularity of the exact solution.High order SD method together with implicit integration are used. The formulationis strongly consistent...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied Mathematics

سال: 2011

ISSN: 2152-7385,2152-7393

DOI: 10.4236/am.2011.28135