Work

Domain decomposition and mortar mixed approach for nonlinear elliptic equations modeling flow in porous media

Year: 2025

Type: article

Abstract: The equations describe the behavior of steady state flow in porous medium generally results in elliptic partial differential equations with coefficient represents the permeability of the medium. This article presents the extension of mortar mixed method for second order nonlinear elliptic equations that describes flow in porous media. The domain is decomposed into non-overlapping regions with each partitioned independently. The grids on subdomains are allowed to be non-matching across the subdomains internal boundaries. The fixed point argument (FPA) is employed to establish the existence and uniqueness of discrete problem, and optimal order error estimates are provided for approximations. The computational results are given to validate the theory.

Source: Heliyon

DOI: 10.1016/j.heliyon.2025.e42724

Authors: Muhammad Arshad, Adil Mehmood, Zabidin Salleh, Sumaira Saleem Akhtar, Suliman Khan

Institutions: Abbottabad University of Science and Technology, Universiti Malaysia Terengganu, Women University Mardan, Nanjing University of Aeronautics and Astronautics

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,270

Funder: Universiti Malaysia Terengganu