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| 1 | A NUMERICAL METHOD FOR SOLVING THE ELLIPTIC INTERFACE PROBLEMS WITH MULTI-DOMAINS AND TRIPLE JUNCTION POINTS显示文摘有多域和三倍的连接点的椭圆形的接口问题在工程和科学有宽应用程序。然而,角落奇特为大多数存在方法使它成为一个挑战性的问题。一个精确、有效的方法被需要。在这份报纸,有 non-body-fitting 格子的一个有效非传统的有限元素方法被建议与多域和三倍的连接解决椭圆形的接口问题。结果方程的线性系统是积极的明确如果为在领域的椭圆形的方程的矩阵系数是积极的明确。数字实验证明这个方法是在为 piecewise 的 L 标准精确的大约第二份订单光滑的答案。角落奇特能以一个方法被处理以便精确性不堕落。三倍的连接小心地被解决,它不需要被放在格子上,给我们的方法潜力对待没有改革网孔的动人的接口问题。 | Songming Hou Liqun Wang Wei Wang | 2012 | Journal of Computational Mathematics2012，30，5： | 1 |
| 2 | Derivation of the Viscous Moore-greitzer Equationfor Aeroengine Flow显示文摘 | Birnir Bjrn Hou Songming Wellander Niklas | 2007 | Journal of Mathematical Physics2007，48，06： | 1 |
| 3 | A Simple FEM for Solving Two-Dimensional Diffusion Equation with Nonlinear Interface Jump Conditions显示文摘In this paper,we propose a numerical method for solving parabolic interface problems with nonhomogeneous flux jump condition and nonlinear jump condition.The main idea is to use traditional finite element method on semi-Cartesian mesh coupled with Newton’s method to handle nonlinearity.It is easy to implement even though variable coefficients are used in the jump condition instead of constant in previous work for elliptic interface problem.Numerical experiments show that our method is about second order accurate in the L1 norm. | Liqun Wang Songming Hou Liwei Shi | 2019 | Computer Modeling in Engineering & Sciences2019，，4： | 0 |
| 4 | AN IMPROVED NON-TRADITIONAL FINITE ELEMENT FORMULATION FOR SOLVING THE ELLIPTIC INTERFACE PROBLEMS显示文摘我们与 non-body-fitting 格子建议一个非传统的有限元素方法解决矩阵系数有锋利的接口的椭圆形的方程。接口切的所有可能的状况格子被考虑。Dirichlet 和 Neumann 边界条件被讨论。系数矩阵数据能仅仅在格子,而非分析功能上被给。广泛的数字实验证明这个方法是在 L 鈭 ? 标准精确的第二份订单。[从作者抽象] | Liqun Wang Songming Hou Liwei Shi | 2014 | Journal of Computational Mathematics2014，32，1： | 0 |
| 5 | A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients显示文摘In this paper,a bilinear Petrov-Galerkin finite element method is introduced to solve the variable matrix coefficient elliptic equation with interfaces using nonbody-fitted grid.Different cases the interface cut the cell are discussed.The condition number of the large sparse linear system is studied.Numerical results demonstrate that the method is nearly second order accurate in the L^(∞)norm and L^(2) norm,and is first order accurate in the H^(1) norm. | Liqun Wang Songming Hou Liwei Shi Ping Zhang | 2019 | Advances in Applied Mathematics and Mechanics2019，11，1： | 0 |
| 6 | ANumericalMethod for Solving Elasticity Equations with Interfaces显示文摘Solving elasticity equationswith interfaces is a challenging problemformost existing methods.Nonetheless,it has wide applications in engineering and science.An accurate and efficient method is desired.In this paper,an efficient non-traditional finite element method with non-body-fitting grids is proposed to solve elasticity equations with interfaces.The main idea is to choose the test function basis to be the standard finite element basis independent of the interface and to choose the solution basis to be piecewise linear satisfying the jump conditions across the interface.The resulting linear system of equations is shown to be positive definite under certain assumptions.Numerical experiments show that thismethod is second order accurate in the L¥norm for piecewise smooth solutions.More than 1.5th order accuracy is observed for solution with singularity(second derivative blows up)on the sharp-edged interface corner. | Songming Hou Zhilin Li Liqun Wang Wei Wang | 2012 | Communications in Computational Physics2012，12，7： | 0 |
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