Extension of δ_-ziti method in the unit ball: Numerical integration, resolution of Poisson's problem and Heat transfer

02/15/2020
by   Rajae Malek, et al.
0

Inspired by the Galerkin and particular method, a new approximation approach is recalled in the Cartesian case. In this paper, we are interested specially by constructing this method, when the domain of consideration is a two dimensional ball, to extend this work to the several dimension. We reduce the number of iterations to calculate integrals and numerical solution of Poisson and the Heat problems (elliptic nd parabolic PDEs), in a very fast way.

READ FULL TEXT

page 15

page 17

research
03/19/2018

Numerical Integration on Graphs: where to sample and how to weigh

Let G=(V,E,w) be a finite, connected graph with weighted edges. We are i...
research
02/15/2023

High performance implementation of 3D FEM for nonlocal Poisson problem with different ball approximation strategies

Nonlocality brings many challenges to the implementation of finite eleme...
research
04/19/2022

Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions

In this paper, we develop a Monte Carlo method for solving PDEs involvin...
research
03/09/2023

Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems

In this paper, we introduce a new family of orthogonal systems, termed a...
research
02/06/2020

A C^1 Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence

In this paper, we present and study C^1 Petrov-Galerkin and Gauss colloc...
research
10/03/2021

Numerical computation of Neumann controllers for the heat equation on a finite interval

This paper presents a new numerical method which approximates Neumann ty...
research
05/23/2018

The Vector Heat Method

This paper describes a method for efficiently computing parallel transpo...

Please sign up or login with your details

Forgot password? Click here to reset