5 problems

Consider the time-spectral method for a time-fractional diffusion problem of order $\alpha$, with $0<\alpha<1$. In the homogeneous case, let $f=0$ and $u_0\in\dot H^2(\Omega)$; in…

RM-FEM randomization-error conjecture. A preliminary theoretical and numerical investigation suggests that

Let $u(\boldsymbol{\mu})$ denote the exact solution and let $\widetilde u^{M}(\boldsymbol{\mu})$ be its primal Proper Generalized Decomposition approximation with $M$ terms. Let…

The proposed error estimator is considered for parametrized equations and is evaluated using reduced spaces, tolerances, and quantile-based stopping criteria as described above. Ap…

A mesh adaptation method may use Hessian recovery and an error estimator to guide anisotropic refinement. The relevant global information is not specified more precisely in the sou…