Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Minev, Peter"'
In this paper, we develop sixth-order hybrid finite difference methods (FDMs) for the elliptic interface problem $-\nabla \cdot( a\nabla u)=f$ in $\Omega\backslash \Gamma$, where $\Gamma$ is a smooth interface inside $\Omega$. The variable scalar coe
Externí odkaz:
http://arxiv.org/abs/2306.13001
In this paper we develop finite difference schemes for elliptic problems with piecewise continuous coefficients that have (possibly huge) jumps across fixed internal interfaces. In contrast with such problems involving one smooth non-intersecting int
Externí odkaz:
http://arxiv.org/abs/2210.01290
For elliptic interface problems with discontinuous coefficients, the maximum accuracy order for compact 9-point finite difference scheme in irregular points is three [7]. The discontinuous coefficients usually have abrupt jumps across the interface c
Externí odkaz:
http://arxiv.org/abs/2205.01256
The elliptic interface problems with discontinuous and high-contrast coefficients appear in many applications and often lead to huge condition numbers of the corresponding linear systems. Thus, it is highly desired to construct high order schemes to
Externí odkaz:
http://arxiv.org/abs/2105.04600
Let $\Gamma$ be a smooth curve inside a two-dimensional rectangular region $\Omega$. In this paper, we consider the Poisson interface problem $-\nabla^2 u=f$ in $\Omega\setminus \Gamma$ with Dirichlet boundary condition such that $f$ is smooth in $\O
Externí odkaz:
http://arxiv.org/abs/2104.07866
Publikováno v:
In Journal of Computational Physics 15 January 2024 497
This study proposes an algorithm for modeling compressible flows in spherical shells in nearly incompressible and weakly compressible regimes based on an implicit direction splitting approach. The method retains theoretically expected convergence rat
Externí odkaz:
http://arxiv.org/abs/2004.13887
This paper introduces a formally second-order direction-splitting method for solving the incompressible Navier-Stokes-Boussinesq system in a spherical shell region. The equations are solved on overset Yin-Yang grids, combined with spherical coordinat
Externí odkaz:
http://arxiv.org/abs/1905.02300
We present a variationally separable splitting technique for the generalized-$\alpha$ method for solving parabolic partial differential equations. We develop a technique for a tensor-product mesh which results in a solver with a linear cost with resp
Externí odkaz:
http://arxiv.org/abs/1811.09351
Publikováno v:
In Applied Mathematics and Computation 15 October 2022 431