Finite element methods (FEM) have become a cornerstone in simulating the interaction between free fluid flow and flow through porous media. In the context of Stokes-Darcy flow problems, FEM provides a ...

Finite Element Methods (FEM) have emerged as a pivotal computational tool in the simulation of incompressible flows and the Navier-Stokes equations. By discretising the domain, these techniques offer ...

We develop a framework for applying high-order finite element methods to singularly-perturbed elliptic and parabolic differential systems that utilizes special quadrature rules to confine spurious ...

Based on the low-order conforming finite element subspace (Vh,Mh) such as the P₁-P₀ triangle element or the Q₁-P₀ quadrilateral element, the locally stabilized finite element method for the Stokes ...

A new technical paper titled “Solving sparse finite element problems on neuromorphic hardware” was published by researchers at Sandia National Lab. “The finite element method (FEM) is one of the most ...

Neuromorphic computer solves differential equations ...

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 ...

Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...

Professor of Mechanics, Washington University, St. Louis, Mo. It's easy to construct finite-element models with errors. And it's just as easy to correct them, when you know how. The first step in a ...