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Variational analysis of the discontinuous Galerkin time-stepping method for parabolic equations

IMA journal of numerical analysis, 2021-04, Vol.41 (2), p.1267-1292

Saito, Norikazu

2021

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Discrete maximal regularity and the finite element method for parabolic equations

Numerische Mathematik, 2018-04, Vol.138 (4), p.905-937

2018

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Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis

Numerische Mathematik, 2017-01, Vol.135 (1), p.265-311

2017

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Hybridized Discontinuous Galerkin Method for Elliptic Interface Problems: Error Estimates Under Low Regularity Assumptions of Solutions

Journal of scientific computing, 2018-09, Vol.76 (3), p.1657-1673

2018

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Analysis of the immersed boundary method for a finite element Stokes problem

Numerical methods for partial differential equations, 2019-01, Vol.35 (1), p.181-199

2019

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Finite element method for radially symmetric solution of a multidimensional semilinear heat equation

Japan journal of industrial and applied mathematics, 2020-01, Vol.37 (1), p.165-191

2020

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Weak discrete maximum principle and $$L^\infty $$ analysis of the DG method for the Poisson equation on a polygonal domain

Japan journal of industrial and applied mathematics, 2019-09, Vol.36 (3), p.809-834

2019

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The inf-sup condition and error estimates of the Nitsche method for evolutionary diffusion–advection-reaction equations

Japan journal of industrial and applied mathematics, 2019-01, Vol.36 (1), p.209-238

2019

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The Navier–Stokes Equations Under a Unilateral Boundary Condition of Signorini’s Type

Journal of mathematical fluid mechanics, 2016-09, Vol.18 (3), p.481-510

2016

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Unilateral problem for the Stokes equations: The well-posedness and finite element approximation

Applied numerical mathematics, 2016-07, Vol.105, p.124-147

2016

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Errata to 'On the Stokes Equation with the Leak and Slip Boundary Conditions of Friction Type: Regularity of Solutions'

Publications of the Research Institute for Mathematical Sciences, 2012-06, Vol.48 (2), p.475-476

Saito, Norikazu

2012

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Special feature: the seventh China–Japan–Korea joint conference on numerical mathematics (CJK2018)

Japan journal of industrial and applied mathematics, 2019-09, Vol.36 (3), p.987-988

2019

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Nitsche's method for a Robin boundary value problem in a smooth domain

Numerical methods for partial differential equations, 2023-11, Vol.39 (6), p.4126-4144

2023

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Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis

Numerische Mathematik, 2017, Vol.135 (1), p.265-311

2017

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On the Stokes Equation with the Leak and Slip Boundary Conditions of Friction Type: Regularity of Solutions

Publications of the Research Institute for Mathematical Sciences, 2004, Vol.40 (2), p.345-383

Saito, Norikazu

2004

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Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis

Communications on pure and applied analysis, 2012, Vol.11 (1), p.339-364

Saito, Norikazu

2012

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A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up

International journal of computer mathematics, 2022-09, Vol.99 (9), p.1890-1917

2022

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Stability and error estimates for the successive-projection technique with B-splines in time

Journal of computational and applied mathematics, 2019-10, Vol.358, p.266-278

2019

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A Finite Element Method to a Periodic Steady-State Problem for an Electromagnetic Field System Using the Space-Time Finite-Element Exterior Calculus

Communications on Applied Mathematics and Computation (Online), 2024-08

2024

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Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis

IMA journal of numerical analysis, 2007-04, Vol.27 (2), p.332-365

SAITO, Norikazu

2007

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Finite element method for radially symmetric solution of a multidimensional semilinear heat equation

Japan journal of industrial and applied mathematics, 2020, Vol.37 (1), p.165-191

2020

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An interpretation of the Scharfetter-Gummel finite difference scheme

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2007, Vol.82 (10), p.187-191

Saito, Norikazu

2007

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Some remarks on the flux-free finite element method for immiscible two-fluid flows

Journal of computational and applied mathematics, 2009-10, Vol.232 (1), p.127-138

2009

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Weak discrete maximum principle and L∞ analysis of the DG method for the Poisson equation on a polygonal domain

Japan journal of industrial and applied mathematics, 2019, Vol.36 (3), p.809-834

2019

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A holomorphic semigroup approach to the lumped mass finite element method

Journal of computational and applied mathematics, 2004-08, Vol.169 (1), p.71-85

Saito, Norikazu

2004

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Variational analysis of the discontinuous Galerkin time-stepping method for parabolic equations

Discrete maximal regularity and the finite element method for parabolic equations

Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis

Hybridized Discontinuous Galerkin Method for Elliptic Interface Problems: Error Estimates Under Low Regularity Assumptions of Solutions

Analysis of the immersed boundary method for a finite element Stokes problem

Finite element method for radially symmetric solution of a multidimensional semilinear heat equation

Weak discrete maximum principle and $$L^\infty $$ analysis of the DG method for the Poisson equation on a polygonal domain

The inf-sup condition and error estimates of the Nitsche method for evolutionary diffusion–advection-reaction equations

The Navier–Stokes Equations Under a Unilateral Boundary Condition of Signorini’s Type

Unilateral problem for the Stokes equations: The well-posedness and finite element approximation

Errata to 'On the Stokes Equation with the Leak and Slip Boundary Conditions of Friction Type: Regularity of Solutions'

Special feature: the seventh China–Japan–Korea joint conference on numerical mathematics (CJK2018)

Nitsche's method for a Robin boundary value problem in a smooth domain

Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis

On the Stokes Equation with the Leak and Slip Boundary Conditions of Friction Type: Regularity of Solutions

Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis

A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up

Stability and error estimates for the successive-projection technique with B-splines in time

A Finite Element Method to a Periodic Steady-State Problem for an Electromagnetic Field System Using the Space-Time Finite-Element Exterior Calculus

Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis

Finite element method for radially symmetric solution of a multidimensional semilinear heat equation

An interpretation of the Scharfetter-Gummel finite difference scheme

Some remarks on the flux-free finite element method for immiscible two-fluid flows

Weak discrete maximum principle and L∞ analysis of the DG method for the Poisson equation on a polygonal domain

A holomorphic semigroup approach to the lumped mass finite element method

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