-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations

M Faustmann, JM Melenk, M Parvizi - Advances in Computational …, 2022 - Springer
The inverse of the stiffness matrix of the time-harmonic Maxwell equation with perfectly
conducting boundary conditions is approximated in the blockwise low-rank format of H …

[HTML][HTML] Exponential meshes and H-matrices

N Angleitner, M Faustmann, JM Melenk - Computers & Mathematics with …, 2023 - Elsevier
Abstract In [1], we proved that the inverse of the stiffness matrix of an h-version finite element
method (FEM) applied to scalar second order elliptic boundary value problems can be …

-inverses for RBF interpolation

N Angleitner, M Faustmann, JM Melenk - Advances in Computational …, 2023 - Springer
We consider the interpolation problem for a class of radial basis functions (RBFs) that
includes the classical polyharmonic splines (PHS). We show that the inverse of the system …

[PDF][PDF] A Crank–Nicolson Method Applied to Hydraulic Phase-field Fracture: A Stochastic Approach

Z Moradian - 2022 - researchgate.net
The hydraulic fracture is a well-known extraction technique used to extract natural gases
and oil. The techniques lead to an industrial and economic revolution and enable many …

-inverses for RBF interpolation

N Angleitner, M Faustmann, JM Melenk - arXiv preprint arXiv:2109.05763, 2021 - arxiv.org
We consider the interpolation problem for a class of radial basis functions (RBFs) that
includes the classical polyharmonic splines (PHS). We show that the inverse of the system …

[PDF][PDF] Hierarchical Techniques in the Discretization of Elliptic Boundary Value Problems

M Parvizi - 2021 - scholar.archive.org
Hierarchical methods in the discretization of elliptic problems Page 1 Dissertation
Hierarchical Techniques in the Discretization of Elliptic Boundary Value Problems …