The next step uses the finite-element method to find an approximation u_FE of the exact solution u_EX. This involves selecting a mesh and elements such as 2D plates, eight-node bricks, p-elements ...

It is shown that the Ritz projection onto spaces of piecewise linear finite elements is bounded in the Sobolev space, $\overset {\circ} {W}_p^1$, for $2 \leqslant p \leqslant \infty$.

A wide range of empirical applications rely on linear approximations to dynamic Euler equations. Among the most notable of these is the large and growing literature on precautionary saving that ...

Approximate computing has emerged as a promising paradigm to enhance energy efficiency in applications where strict computational accuracy is not essential. In ...