5 problems

Pollution in the $h$-FEM means that substantially more than $k^d$ degrees of freedom may be required to accurately approximate a scattering solution at frequency $k$. The boundary…

Consider the hypersingular integral equation on a plane open surface $Gamma$, the model problem in the source, with mesh size $h$ and $N$ denoting the number of unknowns. The appro…

Let the boundary element problem have reduced regularity caused by standard geometric singularities, and consider Crouzeix–Raviart boundary elements on either quasi-uniform or non-…

Let $\tau$, $t$, $\tau$, $h_{X,\Gamma}$, $k$, and $r$ be the parameters and mesh-related quantities defined for the radial basis function discretization, and let $\phi$ and…

Let the meshes on the sub-domains be globally non-conforming, with the trace meshes from different sides of an interface edge approaching each other in a certain sense as the meshe…