Work

Error analysis of the Monte Carlo method for compressible magnetohydrodynamics

Year: 2025

Type: article

Abstract: We study random compressible viscous magnetohydrodynamic flows. Combining the Monte Carlo method with a deterministic finite volume method we solve the random system numerically. Quantitative error estimates including statistical and deterministic errors are analyzed up to a stopping time of the exact solution. On the life-span of an exact strong solution we prove the convergence of the numerical solutions. Numerical experiments illustrate rich dynamics of random viscous compressible magnetohydrodynamics.

Source: Mathematical Models and Methods in Applied Sciences

DOI: 10.1142/s0218202525500332

Authors: Eduard Feireisl, Mária Lukáčová - Medvid’ová, Bangwei She, Yuhuan Yuan

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics, Johannes Gutenberg University Mainz, Capital Normal University, Nanjing University of Aeronautics and Astronautics

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green