The Helmholtz equation is a fundamental partial differential equation that underpins the analysis of wave propagation, acoustic scattering and electromagnetic phenomena. Its numerical solution is ...

Microbumps must meet strict planarity requirements. Any stresses exerted during reflow, for instance, have a tendency to ...

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 ...

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 ...

Mechanical seals have been applied as sealing devices for water pumps of automotive engines. The mechanical seal plays an important state. Therefore, there are many kinds of constructions. This paper ...

An application of the penalty method to the finite element method is analyzed. For a model Poisson equation with homogeneous Dirichlet boundary conditions, a variational principle with penalty is ...

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 ...

Methods for treating material and geometric nonlinearities by finite elements; transient analysis: explicit and implicit time integration, partitioned methods, and stability; hybrid and mixed elements ...