Finite element methods (FEM) have become indispensable tools for simulating wave propagation phenomena across a range of applications, from acoustics and electromagnetics to earthquake modelling. At ...

SIAM Journal on Numerical Analysis, Vol. 53, No. 1 (2015), pp. 43-62 (20 pages) The first-order div least squares finite element methods (LSFEMs) allow for an ...

In this paper, we present a unified analysis of both convergence and optimality of adaptive mixed finite element methods for a class of problems when the finite ...

With increasing freshwater demand and rising water scarcity, reverse osmosis (RO) has become a key method for seawater ...

Finite element methods (FEM) have emerged as a versatile and robust framework for the numerical simulation of evolving partial differential equations (PDEs). These methods discretise complex ...

Princeton's Dr. Jean H. Prévost and Serguei Bagrianski have released a book with World Scientific, entitled, An Introduction to Matrix Structural Analysis and Finite Element Methods. Based on a course ...

Nonlinear finite element methods as applied to large deformation and nonlinear material behavior are the focus of this course. Various classical and contemporary constitutive models and their ...

In 2013, Boeing rolled out the first 787-9 Dreamliner, the newest member of the super-efficient 787 family. In order to power this massive aircraft, Rolls-Royce designed the state of the art Trent ...

What is Finite Element Analysis? The finite element analysis is an extensively used method for computationally solving partial differential equations in technology and mathematics. The classic domains ...

One of the common classes of equations that is encountered in several branches of science is partial differential equations. So in this article, I look at a software package called FreeFem++ that is ...

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 ...

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