Author(s)

Aurélien Goudjo¹, Uriel Aguemon²

¹FAculté des Sciences et Techniques (FAST), Université d’Abomey-Calavi (UAC), Abomey-Calavi, Benin.
²Institut de Mathématiques et de Sciences Physiques (IMSP), Université d’Abomey-Calavi (UAC), Abomey-Calavi, Benin.

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 k≥1, the order of convergence in space is 2 and in time is .

Error Estimate, Isogeometric Method, The Two Stage Heun Scheme, Transport Equation

Goudjo, A. and Aguemon, U. (2019) An Isogeometric Error Estimate for Transport Equation in 2D. Advances in Pure Mathematics, 9, 777-793. doi: 10.4236/apm.2019.99037.