Work

A FE-MIFVE method for three-dimensional (3D) elliptic interface problems

Year: 2026

Type: article

Abstract: In this paper, we propose a FE-MIFVE method for the solution of the three-dimensional elliptic interface problems on structured grids. The method uses the standard finite element discretization on regular elements, and uses the modified immersed finite volume element discretization on interface elements. By designing a suitable function which has the same jumps as the solution, we turn the original elliptic interface problem with nonhomogeneous jump conditions to be an elliptic interface problem with homogeneous jump conditions. Numerical experiments for various problems show the new proposed FE-MIFVE method can serve as an efficient field solver in a simulation on structured grids, such as predicting the electrostatics of solvated biomolecules.

Source: Computers & Mathematics with Applications

DOI: 10.1016/j.camwa.2026.01.003

Authors: Quanxiang Wang, Jianqiang Xie, Yu Zheng, Liqun Wang

Institutions: China University of Petroleum, Beijing, Anhui University, Nanjing Agricultural University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,170

Funders: National Natural Science Foundation of China, China University of Petroleum, Beijing, Nanjing Agricultural University, Fundamental Research Funds for the Central Universities