SIAM Journal on Numerical Analysis, Vol. 51, No. 4 (2013), pp. 2448-2469 (22 pages) Stokes equations are considered with the leak boundary condition of friction type. We propose a discrete variational ...

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 ...

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 ...

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 ...

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 ...

“However, to compare model predictions with empirical observations, one needs to study the diffusion equation in finite space. Despite the work of illustrious scientists such as Smoluchowski, Pólya, ...

In advanced engineering circles, the finite element method — or, more commonly, finite element analysis — is a real staple. With the advent of more powerful home computers, though, even your home ...

Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...

The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge. Physics contains equations that ...

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one. Mathematicians have suspected for years that under specific ...