| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
The purpose of this research is development, analysis and computation of Lagrange-Galerkin schemes for non-Newtonian fluid flow models, where the meaning of Lagrange-Galerkin scheme is a finite element scheme based on the method of characteristics. For that purpose, we proposed nonlinear and linear Lagrange-Galerkin schemes for a non-Newtonian fluid flow model called the Peterlin viscoelastic model after the establishment of the optimal error estimates of the stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. We finally obtained the optimal error estimates of the two Lagrange-Galerkin schemes for a simplified (Oseen-type) Peterlin viscoelastic model. The theoretical results as well as numerical results were summarized in the two papers published in the journal ESAIM: M2AN.
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