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math.NA2023
Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension method
Takahito Kashiwabara
A theoretical analysis of the finite element method for a generalized Robin boundary value problem, which involves a second-order differential operator on the boundary, is presente…
math.NA2023
Discrete maximal regularity for the discontinuous Galerkin time-stepping method without logarithmic factor
Takahito Kashiwabara, Tomoya Kemmochi
Maximal regularity is a kind of a priori estimates for parabolic-type equations and it plays an important role in the theory of nonlinear differential equations. The aim of this pa…
math.NA2023★ 1 cited
Convergence Analysis of an Upwind Finite-Difference Scheme for Hamilton-Jacobi-Bellman Equations
Daisuke Inoue, Nao Hamamuki, Yuji Ito +3
We study the convergence of an upwind finite-difference scheme for Hamilton-Jacobi-Bellman equations on a one-dimensional periodic domain, considering both the value function and t…