2 papers
math.NA2026
A Second-Order Maximum-Principle-Preserving Crouzeix-Raviart Finite Element Method for Time-dependent Transport Equation
Shipeng Mao, Mingyang Zhang
In this paper, we construct an explicit, second-order, and maximum-principle-preserving Crouzeix-Raviart (CR) finite element method for two-dimensional time-dependent transport equ…
math.NA2026
A Coupling Method of Mixed and Lagrange Finite Elements for Linear Elasticity Problem
Wei Chen, Jun Hu, Limin Ma +1
This paper proposes a finite element method that couples mixed and Lagrange finite elements to efficiently capture stress concentrations in elasticity problems. The method employs…