Finite element methods (FEM) have emerged as a pivotal class of numerical techniques for solving the Navier–Stokes equations, the mathematical foundation for modelling fluid flow. These methods ...

Journal of Computational Mathematics, Vol. 37, No. 1 (January 2019), pp. 1-17 (17 pages) This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic ...

The finite element method (FEM) has evolved into a robust and flexible tool for solving partial differential equations (PDEs) defined on surfaces. Its versatility allows for the treatment of complex ...

This is a preview. Log in through your library . Abstract By adding a term to the variational equations, we derive a new finite element method for the stationary Stokes equations which eliminates the ...

An overview of the fundamentals of Finite Element Analysis (FEA) and its importance in aerospace component design. A look at how FEA software enables aerospace engineers to simulate the results of ...

A new technical paper titled “Solving sparse finite element problems on neuromorphic hardware” was published by researchers ...

Find out why the most popular mathematical subjects in engineering in 2026 are calculus and linear algebra. Discover how ...

The book “Uncertain Analysis in Finite Elements Models” explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to ...

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...

In aircraft and aerospace structures, nonlinear structural phenomena can be observed under certain loading and boundary conditions. Traditional structural and aeroelastic analyses techniques have been ...