An Isogeometric Error Estimate for Transport Equation in 2D - Advances in Pure Mathematics

APM > Vol.9 No.9, September 2019

Advances in Pure Mathematics

Volume 9, Issue 9 (September 2019)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.48 Citations

An Isogeometric Error Estimate for Transport Equation in 2D ()

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DOI: 10.4236/apm.2019.99037 554 Downloads 1,218 Views Citations

Author(s)

Aurélien Goudjo¹, Uriel Aguemon²

Affiliation(s)

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.

ABSTRACT

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 .

KEYWORDS

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

Share and Cite:

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.

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