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 ...
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 ...
A new technical paper titled “Solving sparse finite element problems on neuromorphic hardware” was published by researchers ...
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 ...
Find out why the most popular mathematical subjects in engineering in 2026 are calculus and linear algebra. Discover how ...
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 ...
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 ...
Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...
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