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math.NA2016★ 21 cited
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part I: A nonlinear scheme
Mária Lukáčová-Medvid'ová, Hana Mizerová, Hirofumi Notsu +1
We present a nonlinear stabilized Lagrange-Galerkin scheme for the Oseen-type Peterlin viscoelastic model. Our scheme is a combination of the method of characteristics and Brezzi-P…
math.NA2016★ 27 cited
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part II: A linear scheme
Mária Lukáčová-Medvid'ová, Hana Mizerová, Hirofumi Notsu +1
This is the second part of our error analysis of the stabilized Lagrange-Galerkin scheme applied to the Oseen-type Peterlin viscoelastic model. Our scheme is a combination of the m…