Convergence rates of vanishing diffusion limit on conservative form of Hsieh's equation

2021 ◽  
Vol 146 (3) ◽  
pp. 753-776
Author(s):  
Long Fan ◽  
Nafissa Toureche Trouba
Keyword(s):  
Convergence Rates ◽  
Diffusion Limit ◽  
Conservative Form

scholarly journals Convergence rates of zero diffusion limit on large amplitude solution to a conservation laws arising in chemotaxis

2012 ◽  
Vol 5 (3) ◽  
pp. 563-581 ◽  
Author(s):  
Hongyun Peng ◽  
◽  
Lizhi Ruan ◽  
Changjiang Zhu ◽  
Keyword(s):  
Conservation Laws ◽  
Large Amplitude ◽  
Convergence Rates ◽  
Diffusion Limit ◽  
Zero Diffusion Limit

scholarly journals Arbitrary-Order Bernstein–Bézier Functions for DGFEM Transport on 3D Polygonal Grids

2021 ◽  
Vol 2 (3) ◽  
pp. 239-245
Author(s):  
Michael Hackemack
Keyword(s):  
Convergence Rates ◽  
Arbitrary Order ◽  
Diffusion Limit ◽  
Element Discretization ◽  
Lagrange Polynomials ◽  
Galerkin Finite Element ◽  
Polynomial Degree ◽  
Numerical Tests ◽  
Full Resolution ◽  
Discontinuous Galerkin Finite Element

In this paper, we present an arbitrary-order discontinuous Galerkin finite element discretization of the SN transport equation on 3D extruded polygonal prisms. Basis functions are formed by the tensor product of 2D polygonal Bernstein–Bézier functions and 1D Lagrange polynomials. For a polynomial degree p, these functions span {xayb}(a+b)≤p⊗{zc}c∈(0,p) with a dimension of np(p+1)+(p+1)(p−1)(p−2)/2 on an extruded n-gon. Numerical tests confirm that the functions capture exactly monomial solutions, achieve expected convergence rates, and provide full resolution in the thick diffusion limit.

scholarly journals Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Linrui Li ◽  
Shu Wang
Keyword(s):  
Boundary Layer ◽  
Evolution Equations ◽  
Convergence Rates ◽  
Nonlinear Evolution ◽  
Mixed Boundary ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Evolution Equations ◽  
Diffusion Limit ◽  
Evolution System

We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit α→0+, especially for the mixed boundary conditions; we prove that the thickness of layer is of the order O(α). Furthermore, the corresponding convergence rates are also obtained.

THE CONVERGENCE RATES OF ASYMPTOTICALLY BAYES DISCRIMINATION

1985 ◽  
Vol 5 (1) ◽  
pp. 67-78
Author(s):  
Laisheng Wei
Keyword(s):  
Convergence Rates

Iteration matrices and convergence rates of projection methods

1975 ◽  
Author(s):  
Anthony Seaton Ridolfo
Keyword(s):  
Convergence Rates ◽  
Projection Methods

Stability Analysis of the Nanjung Water Diversion Twin Tunnels based on Convergence Measurement

2019 ◽  
Vol 1 (1) ◽  
pp. 49-60
Author(s):  
Simon Heru Prassetyo ◽  
Ganda Marihot Simangunsong ◽  
Ridho Kresna Wattimena ◽  
Made Astawa Rai ◽  
Irwandy Arif ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Convergence Rate ◽  
Critical Strain ◽  
Convergence Rates ◽  
Strain Analysis ◽  
Water Diversion ◽  
Tunnel Face ◽  
Tunnel Stability ◽  
The Stability ◽  
Twin Tunnels

This paper focuses on the stability analysis of the Nanjung Water Diversion Twin Tunnels using convergence measurement. The Nanjung Tunnel is horseshoe-shaped in cross-section, 10.2 m x 9.2 m in dimension, and 230 m in length. The location of the tunnel is in Curug Jompong, Margaasih Subdistrict, Bandung. Convergence monitoring was done for 144 days between February 18 and July 11, 2019. The results of the convergence measurement were recorded and plotted into the curves of convergence vs. day and convergence vs. distance from tunnel face. From these plots, the continuity of the convergence and the convergence rate in the tunnel roof and wall were then analyzed. The convergence rates from each tunnel were also compared to empirical values to determine the level of tunnel stability. In general, the trend of convergence rate shows that the Nanjung Tunnel is stable without any indication of instability. Although there was a spike in the convergence rate at several STA in the measured span, that spike was not replicated by the convergence rate in the other measured spans and it was not continuous. The stability of the Nanjung Tunnel is also confirmed from the critical strain analysis, in which most of the STA measured have strain magnitudes located below the critical strain line and are less than 1%.

Convergence Rates for Diffusions on Continuous-Time Lattices

2007 ◽  
Author(s):  
Claudio Albanese ◽  
Aleksandar Mijatovic
Keyword(s):  
Continuous Time ◽  
Convergence Rates
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