Meshless Galerkin methods using radial basis functions

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

A 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 کامل

Convergence 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 کامل

Solving Helmholtz Equation by Meshless Radial Basis Functions Method

In this paper, we propose a brief and general process to compute the eigenvalue of arbitrary waveguides using meshless method based on radial basis functions (MLM-RBF) interpolation. The main idea is that RBF basis functions are used in a point matching method to solve the Helmholtz equation only in Cartesian system. Two kinds of boundary conditions of waveguide problems are also analyzed. To v...

متن کامل

Simple Test Functions in Meshless Local Petrov - Galerkin Methods

Two meshless local Petrov-Galerkin (MLPG) methods based on two different trial functions but that use a simple linear test function were developed for beam and column problems. These methods used generalized moving least squares (GMLS) and radial basis (RB) interpolation functions as trial functions. These two methods were tested on various patch test problems. Both methods passed the patch tes...

متن کامل

ذخیره 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: Mathematics of Computation

سال: 1999

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-99-01102-3