Direct Lagrangian Forcing Methods Based on Moving Least Squares

2020 ◽  
pp. 45-79
Author(s):  
Marcos Vanella ◽  
Elias Balaras
Keyword(s):  
Least Squares ◽  
Moving Least Squares

A moving least squares material point method with displacement discontinuity and two-way rigid body coupling

2018 ◽  
Vol 37 (4) ◽  
pp. 1-14 ◽  
Author(s):  
Yuanming Hu ◽  
Yu Fang ◽  
Ziheng Ge ◽  
Ziyin Qu ◽  
Yixin Zhu ◽  
...  
Keyword(s):  
Rigid Body ◽  
Least Squares ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Displacement Discontinuity ◽  
Moving Least Squares

Modelling the characteristics of turbocompressors for fuel cell systems using hybrid method based on moving least squares

2009 ◽  
Vol 86 (7-8) ◽  
pp. 1283-1289 ◽  
Author(s):  
R. Tirnovan ◽  
S. Giurgea ◽  
A. Miraoui ◽  
M. Cirrincione
Keyword(s):  
Fuel Cell ◽  
Least Squares ◽  
Hybrid Method ◽  
Moving Least Squares ◽  
Cell Systems

Moving least squares response surface approximation: Formulation and metal forming applications

2005 ◽  
Vol 83 (17-18) ◽  
pp. 1411-1428 ◽  
Author(s):  
Piotr Breitkopf ◽  
Hakim Naceur ◽  
Alain Rassineux ◽  
Pierre Villon
Keyword(s):  
Least Squares ◽  
Response Surface ◽  
Metal Forming ◽  
Moving Least Squares ◽  
Response Surface Approximation ◽  
Surface Approximation

Superresolution and noise filtering using moving least squares

2006 ◽  
Vol 15 (8) ◽  
pp. 2239-2248 ◽  
Author(s):  
N.K. Bose ◽  
N.A. Ahuja
Keyword(s):  
Least Squares ◽  
Moving Least Squares ◽  
Noise Filtering

scholarly journals Meshless Local Petrov–Galerkin Formulation of Inverse Stefan Problem via Moving Least Squares Approximation

2019 ◽  
Vol 24 (4) ◽  
pp. 101
Author(s):  
A. Karami ◽  
Saeid Abbasbandy ◽  
E. Shivanian
Keyword(s):  
Free Boundary ◽  
Least Squares ◽  
Boundary Problem ◽  
Moving Boundary ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Moving Least Squares ◽  
Heaviside Step Function ◽  
Mlpg Method ◽  
Mls Approximation

In this paper, we study the meshless local Petrov–Galerkin (MLPG) method based on the moving least squares (MLS) approximation for finding a numerical solution to the Stefan free boundary problem. Approximation of this problem, due to the moving boundary, is difficult. To overcome this difficulty, the problem is converted to a fixed boundary problem in which it consists of an inverse and nonlinear problem. In other words, the aim is to determine the temperature distribution and free boundary. The MLPG method using the MLS approximation is formulated to produce the shape functions. The MLS approximation plays an important role in the convergence and stability of the method. Heaviside step function is used as the test function in each local quadrature. For the interior nodes, a meshless Galerkin weak form is used while the meshless collocation method is applied to the the boundary nodes. Since MLPG is a truly meshless method, it does not require any background integration cells. In fact, all integrations are performed locally over small sub-domains (local quadrature domains) of regular shapes, such as intervals in one dimension, circles or squares in two dimensions and spheres or cubes in three dimensions. A two-step time discretization method is used to deal with the time derivatives. It is shown that the proposed method is accurate and stable even under a large measurement noise through several numerical experiments.

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