6 problems

The discretized problem is posed on a grid whose cells may have a large aspect ratio, and the permeability is represented by a tensor with diagonal and off-diagonal components. The…

Error-estimate extension conjecture. In one dimension, the error estimates for spatially independent wave-speed functions carry over to the spatially variable case up to terms of s…

Asymptotic expansion conjecture. As $k\to\infty$,

The paper considers finite element spaces that are non-nested under uniform refinement and uses a prolongation operator consisting of projection to a discontinuous Galerkin space,…

Let ${\rm dom}$ be a convex domain, let $s$ satisfy $0<s<1$, and let ${\mathcal H}_h^s$ and ${\mathcal G}_h^s$ denote the fine-grid and two-grid operators, respectively, with mesh…

Geometric multigrid algorithms are generally more efficient than the solver approach considered here, and the cost of assembling local finite element matrices may therefore become…