Error estimates of numerical solutions for a cyclic plasticity problem

1999 ◽  
Vol 23 (1) ◽  
pp. 33-38
Author(s):  
W. Han
Keyword(s):  
Error Estimates ◽  
Numerical Solutions ◽  
Cyclic Plasticity ◽  
Plasticity Problem

Highly accurate and efficient numerical methods for a problem of heat conduction

2019 ◽  
Vol 24 (11) ◽  
pp. 3410-3417 ◽  
Author(s):  
Manki Cho
Keyword(s):  
Heat Conduction ◽  
Numerical Methods ◽  
Spectral Method ◽  
Error Estimates ◽  
Theoretical Basis ◽  
Numerical Solutions ◽  
Two Dimensional ◽  
Several Variables ◽  
Explicit Formulae ◽  
Steklov Eigenfunctions

In this work, we present a theoretical basis for the Steklov series expansion methods to reduce and estimate the error of numerical solutions for heat conduction. The meshless spectral method is applied to represent the temperature over the two-dimensional field using the harmonic Steklov eigenfunctions. Error estimates for Steklov approximations are given. With explicit formulae for the Steklov eigenfunctions and eigenvalues, results about the accuracy of the methods for several variables of interest according to the number of eigenfunctions used are described.

scholarly journals Error Estimates for the Coupling of Analytical and Numerical Solutions

2016 ◽  
Vol 11 (5) ◽  
pp. 1221-1240 ◽  
Author(s):  
Klaus Gürlebeck ◽  
Uwe Kähler ◽  
Dmitrii Legatiuk
Keyword(s):  
Error Estimates ◽  
Numerical Solutions ◽  
Analytical And Numerical Solutions

Asymptotic Preserving Error Estimates for Numerical Solutions of Compressible Navier--Stokes Equations in the Low Mach Number Regime

2018 ◽  
Vol 16 (1) ◽  
pp. 150-183 ◽  
Author(s):  
Eduard Feireisl ◽  
Mária Lukáčová-Medviďová ◽  
Šárka Nečasová ◽  
Antonín Novotný ◽  
Bangwei She
Keyword(s):  
Mach Number ◽  
Error Estimates ◽  
Numerical Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Asymptotic Preserving ◽  
Navier Stokes Equations ◽  
Low Mach Number
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