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09/12/2023
A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces
This work addresses a novel version of the kernel-free boundary integral...
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09/12/2023
An Alternating Direction Implicit Method for Mean Curvature Flows
This paper is concerned with the mean curvature flow, which describes th...
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09/03/2023
A Cartesian grid-based boundary integral method for moving interface problems
This paper proposes a Cartesian grid-based boundary integral method for ...
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09/02/2023
ADI schemes for heat equations with irregular boundaries and interfaces in 3D with applications
In this paper, efficient alternating direction implicit (ADI) schemes ar...
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03/09/2023
Kernel Free Boundary Integral Method for 3D Stokes and Navier Equations on Irregular Domains
A second-order accurate kernel-free boundary integral method is presente...
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02/16/2023
Second order convergence of a modified MAC scheme for Stokes interface problems
Stokes flow equations have been implemented successfully in practice for...
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02/16/2023
Kernel-free boundary integral method for two-phase Stokes equations with discontinuous viscosity on staggered grids
A discontinuous viscosity coefficient makes the jump conditions of the v...
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01/16/2022
Numerical study on viscous fingering using electric fields in a Hele-Shaw cell
We investigate the nonlinear dynamics of a moving interface in a Hele-Sh...
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04/11/2021