27 research outputs found
Computational Engineering
The focus of this Computational Engineering Workshop was on the mathematical foundation of state-of-the-art and emerging finite element methods in engineering analysis. The 52 participants included mathematicians and engineers with shared interest on discontinuous Galerkin or Petrov-Galerkin methods and other generalized nonconforming or mixed finite element methods
A balanced finite-element method for an axisymmetrically loaded thin shell
We analyse a finite-element discretisation of a differential equation
describing an axisymmetrically loaded thin shell. The problem is singularly
perturbed when the thickness of the shell becomes small. We prove robust
convergence of the method in a balanced norm that captures the layers present
in the solution. Numerical results confirm our findings