Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions
نویسندگان
چکیده
منابع مشابه
Meshless Galerkin methods using radial basis functions
We combine the theory of radial basis functions with the field of Galerkin methods to solve partial differential equations. After a general description of the method we show convergence and derive error estimates for smooth problems in arbitrary dimensions.
متن کاملCoupling Projection Domain Decomposition Method and Meshless Collocation Method Using Radial Basis Functions in Electromagnetics
This paper presents an efficient meshless approach for solving electrostatic problems. This novel approach is based on combination of radial basis functions-based meshless unsymmetric collocation method with projection domain decomposition method. Under this new method, we just need to solve a Steklov-Poincaré interface equation and the original problem is solved by computing a series of indepe...
متن کاملA greedy meshless local Petrov–Galerkin method based on radial basis functions
The meshless local Petrov-Galerkin (MLPG) method with global radial basis functions (RBF) as trial approximation leads to a full final linear system and a large condition number. This makes MLPG less efficient when the number of data points is increased. We can overcome this drawback if we avoid using more points from the data site than absolutely necessary. In this paper, we equip the MLPG met...
متن کاملConvergence order estimates of meshless collocation methods using radial basis functions
We study meshless collocation methods using radial basis functions to approximate regular solutions of systems of equations with linear diier-ential or integral operators. Our method can be interpreted as one of the emerging meshless methods, cf. 1]. Its range of application is not conned to elliptic problems. However, the application to the boundary value problem for an elliptic operator, conn...
متن کاملThe comparison of three meshless methods using radial basis functions for solving fourth-order partial differential equations
In this paper we apply the newly developed method of particular solutions (MPS) and one-stage method of fundamental solutions (MFS-MPS) for solving fourth-order partial differential equations. We also compare the numerical results of these two methods to the popular Kansa’s method. Numerical results in the 2D and the 3D show that the MFS-MPS outperformed the MPS and Kansa’s method. However, the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.03.010