Work

A monotone Q1 finite element method for anisotropic elliptic equations

Year: 2025

Type: article

Abstract: We construct a monotone continuous Q 1 finite element method on the uniform mesh for the anisotropic diffusion problem with a diagonally dominant diffusion coefficient matrix.The monotonicity implies the discrete maximum principle.Convergence of the new scheme is rigorously proven.On quadrilateral meshes, the matrix coefficient conditions translate into specific mesh constraints.

Source: Beijing Journal of Pure and Applied Mathematics

DOI: 10.4310/bpam.250414233812

Authors: Hao Li, Xiangxiong Zhang

Institutions: Hong Kong Polytechnic University, Purdue University West Lafayette

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4409424638

FWCI: 0.898

Cites: 26

Cited by: 2

Related to: 10