%0 Journal Article
%T An Isogeometric Error Estimate for Transport Equation in 2D
%A Aur¨¦lien Goudjo
%A Uriel Aguemon
%J Advances in Pure Mathematics
%P 777-793
%@ 2160-0384
%D 2019
%I Scientific Research Publishing
%R 10.4236/apm.2019.99037
%X In this paper, an isogeometric error estimate for transport equation is obtained in 2D to prove the convergence of isogeometric method. The result that we have obtained, generalizes Ern result, got in finite elements method. For the time discretization, the two stage Heun scheme is used to prove this result. For a polynomial of degree <em>k</em><span style=\"color:#333333;font-family:\" font-size:14px;white-space:normal;background-color:#ffffff;\"=\"\">¡Ý1</span><em></em>, the order of convergence in space is 2 and in time is <sub><img src=\"Edit_b9824df7-6a7e-4366-98fa-9fca5e9bc790.bmp\" alt=\"\" /></sub>.
%K Error Estimate
%K Isogeometric Method
%K The Two Stage Heun Scheme
%K Transport Equation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=95111