Mathematics of Computation, Vol. 79, No. 272 (OCTOBER 2010), pp. 2001-2032 (32 pages) We derive in this paper a unified framework for a priori and a posteriori error ...

Mathematics of Computation, Vol. 54, No. 190 (Apr., 1990), pp. 495-508 (14 pages) We prove the optimal order of convergence for some two-dimensional finite element methods for the Stokes equations.

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 ...

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 ...

Adaptive finite element methods (AFEM) represent a pivotal advancement in numerical analysis by dynamically refining computational meshes to achieve greater solution accuracy. These methods are ...

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 ...

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