Abstract
In this paper, we propose a new method for solving two-dimensional elliptic interface problems with nonhomogeneous flux jump condition and nonlinear jump condition. The method we used is traditional finite element method coupled with Newton’s method, it is very simple and easy to implement. The grid we used here is body-fitting grids based on the idea of semi-Cartesian grid. Numerical experiments show that this method is about second order accurate in the
Funding statement: L. Shi’s research is supported by Science Foundations of China University of Political Science and Law (Nos. 1000-10816106 and 1000-10816330). S. Hou’s research is supported by NSF grant DMS-1317994 and Dr. Walter Koss Professorship. L. Wang’s research is supported by Science Foundations of China University of Petroleum-Beijing (Nos. 2462015BJB05, 2462015YQ0604 and 2462015QZDX02).
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Articles in the same Issue
- Frontmatter
- Transient Analysis of Heat Transfer by Natural Convection Along a Vertical Wavy Surface
- Three-Dimensional Flow Problems in a Lid-Driven Cubical Cavity with a Circular Cylinder
- Complete Controllability of Fractional Impulsive Multivalued Stochastic Partial Integrodifferential Equations with State-Dependent Delay
- Dynamic Stability of a Thin Film Bonded to a Compliant Substrate Subjected to a Step Load with Damping
- Existence Results to Some Damped-Like Fractional Differential Equations
- A Numerical Method for Solving Two-Dimensional Elliptic Interface Problems with Nonhomogeneous Flux Jump Condition and Nonlinear Jump Condition
- Numerical Simulation of Free Surface and Flow Field Turbulence in a Circular Channel with the Side Weir in Subcritical Flow
- Comparative Analysis of Various Control Strategies for a Nonlinear CSTR System
- Non-Polynomial Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation
- The Binary Nonlinearization of the Super Integrable System and Its Self-Consistent Sources
Articles in the same Issue
- Frontmatter
- Transient Analysis of Heat Transfer by Natural Convection Along a Vertical Wavy Surface
- Three-Dimensional Flow Problems in a Lid-Driven Cubical Cavity with a Circular Cylinder
- Complete Controllability of Fractional Impulsive Multivalued Stochastic Partial Integrodifferential Equations with State-Dependent Delay
- Dynamic Stability of a Thin Film Bonded to a Compliant Substrate Subjected to a Step Load with Damping
- Existence Results to Some Damped-Like Fractional Differential Equations
- A Numerical Method for Solving Two-Dimensional Elliptic Interface Problems with Nonhomogeneous Flux Jump Condition and Nonlinear Jump Condition
- Numerical Simulation of Free Surface and Flow Field Turbulence in a Circular Channel with the Side Weir in Subcritical Flow
- Comparative Analysis of Various Control Strategies for a Nonlinear CSTR System
- Non-Polynomial Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation
- The Binary Nonlinearization of the Super Integrable System and Its Self-Consistent Sources