5 citations · 11 across the 11 of their papers we have counts for
11 papers
Sixth-Order Hybrid Finite Difference Methods for Elliptic Interface Problems with Mixed Boundary Conditions
Qiwei Feng, Bin Han, Peter Minev
In this paper, we develop sixth-order hybrid finite difference methods (FDMs) for the elliptic interface problem in , where is a sm…
Compact 9-Point Finite Difference Methods with High Accuracy Order and/or M-Matrix Property for Elliptic Cross-Interface Problems
Qiwei Feng, Bin Han, Peter Minev
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…
Hybrid Finite Difference Schemes for Elliptic Interface Problems with Discontinuous and High-Contrast Variable Coefficients
Qiwei Feng, Bin Han, Peter Minev
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 disco…
A High Order Compact Finite Difference Scheme for Elliptic Interface Problems with Discontinuous and High-Contrast Coefficients
Qiwei Feng, Bin Han, Peter Minev
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 s…
Sixth Order Compact Finite Difference Scheme for Poisson Interface Problem with Singular Sources
Qiwei Feng, Bin Han, Peter Minev
Let be a smooth curve inside a two-dimensional rectangular region . In this paper, we consider the Poisson interface problem in with Dirichlet…
An efficient algorithm for weakly compressible flows in spherical geometries
Roman Frolov, Peter Minev, Aziz Takhirov
This study proposes an algorithm for modeling compressible flows in spherical shells in nearly incompressible and weakly compressible regimes based on an implicit direction splitti…
A direction splitting scheme for Navier-Stokes-Boussinesq system in spherical shell geometries
Aziz Takhirov, Roman Frolov, Peter Minev
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 a…
A variationally separable splitting for the generalized- method for parabolic equations
Pouria Behnoudfar, Victor M. Calo, Quanling Deng +1
We present a variationally separable splitting technique for the generalized- method for solving parabolic partial differential equations. We develop a technique for a tensor-pr…
Splitting schemes for unsteady problems involving the grad-div operator
Peter Minev, Petr N. Vabishchevich
In this paper we consider various splitting schemes for unsteady problems containing the grad-div operator. The fully implicit discretization of such problems would yield at each t…
High-order time stepping for the Navier-Stokes equations with minimal computational complexity
Jean-Luc Guermond, Peter Minev
In this paper we present extensions of the schemes proposed in \cite{GM14} that lead to a decoupling of the velocity components in the momentum equation. The new schemes reduce the…
Convergence Analysis of a Class of Massively Parallel Direction Splitting Algorithms for the Navier-Stokes Equations
Jean-Luc Guermond, Peter D. Minev, Abner J. Salgado
We provide a convergence analysis for a new fractional time-stepping technique for the incompressible Navier-Stokes equations based on direction splitting. This new technique is of…