Work

A Weak Galerkin Method for the Coupled Darcy-Stokes Problem with a Nonstandard Transmission Condition on the Stokes Boundary

Year: 2024

Type: article

Abstract: In this paper, we study a coupled problem of Darcy’s law and Stokes equation with nonlinear slip boundary conditions. We derive a variational inequality for the coupled problem in detail. Then we introduce and analyze a weak Galerkin method to solve the coupled problem numerically. Under proper regularity assumptions, we obtain the optimal error estimate $\mathscr{O}(h)$ in newly defined $h$-norms. Finally, we give some numerical results to support the theoretical conclusions.

Source: East Asian Journal on Applied Mathematics

DOI: 10.4208/eajam.2023-034.260923

Authors: Jingjun Zhao, Zhiqiang Lv, Yang Xu

Institution: Harbin Institute of Technology

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4402546930

FWCI: 0.205

Cites: 31

Cited by: 1

Related to: 10