10 citations · 62 across the 21 of their papers we have counts for
26 papers
Local Gevrey regularity and Quasi-Monte Carlo quadrature for PDEs parameterized on non-compact domains
Dinh Dũng, Tùng Lê, Alexey Chernov
We establish local Gevrey regularity for the weak solution to parametric divergence-form diffusion elliptic PDEs, assuming the diffusion coefficient itself possesses local Gevrey p…
Bayesian parameter identification in impedance boundary conditions for Helmholtz problems
Nick Wulbusch, Reinhild Roden, Matthias Blau +1
We consider the problem of identifying the acoustic impedance of a wall surface from noisy pressure measurements in a closed room using a Bayesian approach. The room acoustics is m…
Analytic and Gevrey class regularity for parametric elliptic eigenvalue problems and applications
Alexey Chernov, Tung Le
We investigate a class of parametric elliptic eigenvalue problems with homogeneous essential boundary conditions where the coefficients (and hence the solution ) may depend on a…
Using a one-dimensional finite-element approximation of Webster's horn equation to estimate individual ear canal acoustic transfer from input impedances
Nick Wulbusch, Reinhild Roden, Alexey Chernov +1
In many applications, knowledge of the sound pressure transfer to the eardrum is important. The transfer is highly influenced by the shape of the ear canal and its acoustic propert…
p- and hp- virtual elements for the Stokes problem
Alexey Chernov, Carlo Marcati, Lorenzo Mascotto
We analyse the p- and hp-versions of the virtual element method (VEM) for the the Stokes problem on a polygonal domain. The key tool in the analysis is the existence of a bijection…
Sparse Grid Approximation Spaces for Space-Time Boundary Integral Formulations of the Heat Equation
Alexey Chernov, Anne Reinarz
The aim of this paper is to develop stable and accurate numerical schemes for boundary integral formulations of the heat equation with Dirichlet boundary conditions. The accuracy o…