3 papers
math.NA2026
Nonconforming -FE/BE coupling on unstructured meshes based on Nitsche's method
Alexey Chernov, Peter Hansbo, Erik Marc Schetzke
We construct and analyse a -FE/BE coupling on non-matching meshes, based on Nitsche's method. Both the mesh size and the polynomial degree are changed to improve accuracy. Nits…
math.NA2025
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…
math.NA2025
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…