KASHIWABARA, Takahito
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Title

Associate Professor 
Field

Numerical Analysis 
Research interests

Numerical and mathematical analysis of PDEs, NavierStokes equations, Nonstandard boundary conditions, Finite element method 
Current research

I am interested in mathematical justification of numerical simulations, in which it is usually impossible to directly compute exact solutions of mathematical models. The main aim is to rigorously prove that numerical solutions, obtained via some approximation or discretization, are indeed close to exact ones. Moreover, in case exact solutions themselves are not well understood, I would like to establish their existence and uniqueness by mathematical analysis. More concretely, I have been studying the finite element method to PDEs, especially nonstandard boundary value problems (e.g., frictional BCs and generalized Robin BCs) of the NavierStokes equations. Recently I am also focused on mathematical analysis of the primitive equations in oceanic or atmospheric dynamics, and on finite element analysis by the maximumnorm. 
Selected publications



