6 citations · 7 across the 5 of their papers we have counts for
5 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…
Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models
Alexey Chernov, Tung Le
We investigate parameteric Navier-Stokes equations for a viscous, incompressible flow in bounded domains. The coefficients of the equations are perturbed by high-dimensional random…
Analytic and Gevrey class regularity for parametric semilinear reaction-diffusion problems and applications in uncertainty quantification
Alexey Chernov, Tung Le
We investigate a class of parametric elliptic semilinear partial differential equations of second order with homogeneous essential boundary conditions, where the coefficients and t…
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…
Diffeomorphic Mesh Deformation via Efficient Optimal Transport for Cortical Surface Reconstruction
Tung Le, Khai Nguyen, Shanlin Sun +3
Mesh deformation plays a pivotal role in many 3D vision tasks including dynamic simulations, rendering, and reconstruction. However, defining an efficient discrepancy between predi…