A new reduced order model of imcompressible Stokes equations

TL;DR

This paper introduces a novel reduced order model for incompressible Stokes equations that achieves comparable convergence rates to standard solvers, offering improved efficiency and accuracy.

Contribution

The paper presents a new ROM for Stokes equations with proven convergence rates matching standard methods, enhancing computational efficiency.

Findings

ROM is accurate and efficient in numerical experiments.

Convergence rates are comparable to standard solvers under certain assumptions.

The model offers a promising approach for faster simulations of Stokes flows.

Abstract

In this paper we propose a new reduced order model (ROM) to the imcompressible Stokes equations. Numerical experiments show that our ROM is accurate and efficient. Under some assumptions on the problem data, we prove that the convergence rates of the new ROM is the same with standard solvers.