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An Isogeometric Error Estimate for Transport Equation in 2D
FAculté des Sciences et Techniques (FAST), Université d’Abomey-Calavi (UAC), Abomey-Calavi, Benin
Institut de Mathématiques et de Sciences Physiques (IMSP), Université d’Abomey-Calavi (UAC), Abomey-Calavi, Benin
- 1 FAculté des Sciences et Techniques (FAST), Université d’Abomey-Calavi (UAC), Abomey-Calavi, Benin
- 2 Institut de Mathématiques et de Sciences Physiques (IMSP), Université d’Abomey-Calavi (UAC), Abomey-Calavi, Benin
Advances in Pure Mathematics·Volume 09 (2019)·Pages 777–793·Published 16 September 2019·DOI10.4236/apm.2019.99037
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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 .
KeywordsError EstimateIsogeometric MethodThe Two Stage Heun SchemeTransport Equation
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