4 papers
Numerical computation of triangular cavity flows by a Lagrange-Galerkin scheme with a locally linearized velocity
Masahisa Tabata, Shinya Uchiumi
We show numerical results of triangular cavity flow problems solved by a Lagrange-Galerkin scheme free from numerical quadrature. The scheme has recently developed by us, where a l…
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…
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…
Error estimates of stable and stabilized Lagrange-Galerkin schemes for natural convection problems
Hirofumi Notsu, Masahisa Tabata
Optimal error estimates of stable and stabilized Lagrange-Galerkin (LG) schemes for natural convection problems are proved under a mild condition on time increment and mesh size. T…