Meshless boundary node methods for Stokes problems
نویسندگان
چکیده
منابع مشابه
Reproducing Polynomial(Singularity) Particle Methods and Adaptive Meshless Methods for 2-Dim Elliptic Boundary Value Problems
Oh et al ([25]) introduced the reproducing polynomial particle (RPP) shape functions that are piecewise polynomial and satisfy the Kronecker delta property. In this paper, we introduce RPPM (Reproducing Polynomial Particle Methods) that is the Galerkin approximation method associated with the use of the RPP approximation space. Planting particles in the computation domain in a patchwise uniform...
متن کاملVirtual Node Algorithms for Stokes Interface Problems
of the Dissertation Virtual Node Algorithms for Stokes Interface Problems by Diego C. Assêncio Doctor of Philosophy in Physics University of California, Los Angeles, 2012 Professor Giovanni Zocchi, Chair We present two numerical methods for the solution of the Stokes equations designed to handle both interfacial discontinuities, geometrically irregular flow domains and discontinuous fluid prope...
متن کاملQuadrature in meshless methods for general elliptic problems with natural boundary conditions
In this paper, we explore the effect of numerical integration on the meshless method used to approximate the solution of an elliptic partial differential equation with non-constant coefficients with Neumann boundary conditions. We considered meshless methods with shape functions that reproduce polynomials of degree k ≥ 1. We have obtained an estimate for the energy norm of the error in the appr...
متن کاملA Boundary Meshless Method for Neumann Problem
Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a meshless method is describe...
متن کاملA New Meshless Method to Solve Boundary-value Problems
This paper presents a new family of meshless methods for the solution of boundary-value problems. In the h-p cloud method, the solution space is composed of radial basis functions associated with a set of nodes arbitrarily placed in the domain. The paper describes the construction of the h-p cloud functions using a signed partition of unity and how h, p or h-p reenements can be implemented with...
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: Applied Mathematical Modelling
سال: 2015
ISSN: 0307-904X
DOI: 10.1016/j.apm.2014.10.009