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We propose a finite difference method on a special grid for solving CDR problems particularly designed to treat the most interesting case of small diffusion.
In this paper, we propose an augmented coupling interface method on a Cartesian grid for solving eigenvalue problems with sign-changed coefficients.
We propose a coupling interface method (CIM) under Cartesian grid for solving elliptic complex interface problems in arbitrary dimensions, where the coefficients, the source terms, and the solutions may be discontinuous or singular across the interfaces.
In this paper, by exploiting the feature of problem (P), a suitable nonuniform grid for solving problem (P) is first constructed over a given ((k-1))-dimensional box.
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New schemes are developed on triangular grids for solving ideal magnetohydrodynamic equations while preserving globally divergence-free magnetic field.
This framework utilizes: discretizations that achieve a second-order accurate level-set method on non-graded adaptive Cartesian grids for solving the associated free boundary value problem for surface diffusion; and an established library for the partitioning of the grid.
We investigate the A ϕ finite element method with the global coarse grids and the local fine grids (composite grids) for solving a time-dependent eddy current problem, which can improve the accuracy of the coarse grid solutions in some subdomains of interest in the case when properly increasing computational costs.
The main focus in this paper is to develop a multigrid method based on a HOC scheme on nonuniform grids for solving of the 2D Helmholtz equation.
Ge and Cao [1, 18] developed a multigrid method with HOC scheme on nonuniform grids for solving 2D convection diffusion equation and 3D Poisson equation.
Moreover, this idea of partially penalization can also be seen in [24], which is on rectangular grids for solving isotropic elliptic interface problems.
The present study demonstrates the potential of the present hybrid meshfree-and-Cartesian grid scheme for solving complex moving body problems in 3D.
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CEO of Professional Science Editing for Scientists @ prosciediting.com