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 ...

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 ...

Finite element methods (FEM) constitute a foundational numerical approach for solving partial differential equations by discretising complex domains into smaller, manageable subdomains known as ...

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 ...

Finite element analysis (FEA) is a cornerstone of modern computational mechanics, enabling the simulation of complex physical systems by subdividing a continuum into discrete finite elements. This ...

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 ...

This course covers dual complimentary focus areas for advanced finite element driven modeling and simulation using non-linear computational material modeling, and data-driven approaches for the ...