Saito, Norikazu
Overview
Works:  14 works in 34 publications in 2 languages and 407 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author 
Classifications:  QA166, 511.5 
Publication Timeline
.
Most widely held works by
Norikazu Saito
Operator theory and numerical methods by
Hiroshi Fujita(
Book
)
18 editions published between 2001 and 2006 in English and held by 175 WorldCat member libraries worldwide
In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation method, domain decomposition method, nonlinear problems, and so forth) are also discussed, motivated by the observation that practically useful schemes have fine mathematical structures and the converses are also true. This book has the following chapters: 1. Boundary Value Problems and FEM. 2. Semigroup Theory and FEM. 3. Evolution Equations and FEM. 4. Other Methods in Time Discretization. 5. Other Methods in Space Discretization. 6. Nonlinear Problems. 7. Domain Decomposition Method
18 editions published between 2001 and 2006 in English and held by 175 WorldCat member libraries worldwide
In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation method, domain decomposition method, nonlinear problems, and so forth) are also discussed, motivated by the observation that practically useful schemes have fine mathematical structures and the converses are also true. This book has the following chapters: 1. Boundary Value Problems and FEM. 2. Semigroup Theory and FEM. 3. Evolution Equations and FEM. 4. Other Methods in Time Discretization. 5. Other Methods in Space Discretization. 6. Nonlinear Problems. 7. Domain Decomposition Method
Regularity of solutions to the Stokes equations under a certain nonlinear boundary condition by
Norikazu Saito(
Book
)
2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide
Abstract: "The regularity of a solution to the variational inequality for the Stokes equation is considered. The inequality describes the steady motion of the viscous incompressible fluid under a certain unilateral constrain of friction type. Firstly the solution is approximated by solutions to a regularized problem which is introduced by Yosida's regularization for a multivalued opearator [sic]. Then we establish a regularity result to the regularized problem. The regularity of the solution to the original inequality follows by the limiting argument."
2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide
Abstract: "The regularity of a solution to the variational inequality for the Stokes equation is considered. The inequality describes the steady motion of the viscous incompressible fluid under a certain unilateral constrain of friction type. Firstly the solution is approximated by solutions to a regularized problem which is introduced by Yosida's regularization for a multivalued opearator [sic]. Then we establish a regularity result to the regularized problem. The regularity of the solution to the original inequality follows by the limiting argument."
Remarks on traces of H¹functions defined in a domain with corners by
Norikazu Saito(
Book
)
1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide
Abstract: "The set of traces of H¹ ([omega])functions on a part [gamma] of the boundary [curly d][omega] is considered, where [omega] is a bounded domain in R² with a certain singularity, particularly, with corners at the end points of [gamma]. The aim of the present paper is to show that the set of all traces of functions in H¹([omega]) is equal algebraically and topologically to the domain of a certain fractional power of minus Laplacian on [gamma] with the zero boundary condition. The result is expected to be of use for the mathematical analysis of the DDM (domain decomposition method) applied to such [omega]."
1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide
Abstract: "The set of traces of H¹ ([omega])functions on a part [gamma] of the boundary [curly d][omega] is considered, where [omega] is a bounded domain in R² with a certain singularity, particularly, with corners at the end points of [gamma]. The aim of the present paper is to show that the set of all traces of functions in H¹([omega]) is equal algebraically and topologically to the domain of a certain fractional power of minus Laplacian on [gamma] with the zero boundary condition. The result is expected to be of use for the mathematical analysis of the DDM (domain decomposition method) applied to such [omega]."
Suchi kaiseki nyumon by
Norikazu Saito(
Book
)
2 editions published in 2012 in Japanese and held by 3 WorldCat member libraries worldwide
2 editions published in 2012 in Japanese and held by 3 WorldCat member libraries worldwide
On the domaindependence of convergence rate in a domain decomposition method for the Stokes equations by
Norikazu Saito(
Book
)
2 editions published in 1999 in English and held by 3 WorldCat member libraries worldwide
Abstract: "A certain domain decomposition iterative algorithm for the Stokes equations is considered. The aim of the present paper is to study relationships between the convergence speed of iteration and the shapes of subdomains. Our consideration is restricted to the continuous problem and to the case in which the whole domain is divided into two nonoverlapping subdomains. Then, introducing a certain geometric condition, we can derive explicit decay rates of the error on an artificial boundary. Also, a new important role of the socalled infsup constant is revealed. The proof is accomplished by means of an operator theory."
2 editions published in 1999 in English and held by 3 WorldCat member libraries worldwide
Abstract: "A certain domain decomposition iterative algorithm for the Stokes equations is considered. The aim of the present paper is to study relationships between the convergence speed of iteration and the shapes of subdomains. Our consideration is restricted to the continuous problem and to the case in which the whole domain is divided into two nonoverlapping subdomains. Then, introducing a certain geometric condition, we can derive explicit decay rates of the error on an artificial boundary. Also, a new important role of the socalled infsup constant is revealed. The proof is accomplished by means of an operator theory."
Sūchikaisekiniokeruriron, shuhō, ōyō : RIMSkenkyūshūkaihōkokushū ; Kyōto, November 12  14, 2008 = Numerical
analysis: theory, methods and applications(
Book
)
1 edition published in 2009 in Japanese and held by 2 WorldCat member libraries worldwide
1 edition published in 2009 in Japanese and held by 2 WorldCat member libraries worldwide
Remarks on traces of $ H^ 1 $ functions defined in a domain with corners by
Norikazu Saito(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Analysis of the fictitious domain method with an $L^2$penalty for elliptic problems by
Norikazu Saito(
Book
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Unilateral problem for the Stokes equations : the wellposedness and finite element approximation by
Norikazu Saito(
Book
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Finite difference approximation for nonlinear Schrödinger equations with application to blowup computation by
Norikazu Saito(
Book
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Blowup of finitedfference solutions to nonlinear wave equations by
Norikazu Saito(
Book
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Finite volume methods for a KellerSegel system : discrete energy, error estimates and numerical blowup analysis by
Guanyu Zhou(
Book
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Graph theory and algorithms : 17th symposium of Research Institute of Electrical Communication, Tohoku University, Sendai,
Japan, October 2425, 1980 : proceedings by
N Saitō(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
The NavierStokes equations under a unilateral boundary condition of Signorini's type by
Guanyu Zhou(
Book
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
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