Lina Song
Qingdao University
6 Papers
4 Citations
Lina Song is an academic researcher from Qingdao University. The author has contributed to research in topics: Finite difference method & Taylor series. The author has an hindex of 3, co-authored 6 publications.
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Papers
The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems
TL;DR: A new framework for the efficient and accurate solutions of three-dimensional dynamic coupled thermoelasticity problems is presented and a new distance criterion for adaptive selection of nodes in the GFDM simulations is examined.
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Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition
TL;DR: Numerical results and comparisons show that using the GFDM to solve the proposed formulation of the Stokes equations is more accurate than the classical formulations of the pressure Poisson equation.
51
The generalized finite difference method for the inverse Cauchy problem in two-dimensional isotropic linear elasticity
TL;DR: In this article, the generalized finite difference method (GFDM) was used to stably and accurately solve 2D inverse Cauchy problems in linear elasticity by using the Navier equations.
50
A generalized finite difference method for solving Stokes interface problems
Mengru Shao,Lina Song,Po-Wei Li +2 more
TL;DR: The proposed scheme turns the Stokes interface problem into two coupled Stokes non-interface subproblems and adds a mixed boundary condition to overcome the numerical pressure oscillation and the accuracy and stability of the GFDM is verified.
19
A generalized finite difference method for solving biharmonic interface problems
TL;DR: In this article, a meshless discrete scheme based on the generalized finite difference method (GFDM) is proposed to solve the bi-harmonic interface problem, which turns the interface problem to two non-interface subproblems coupled with the interface conditions.
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