On a Dirichlet problem related to anisotropic fluid flow in bidisperse porous media
Abstract This paper is concerned with the study of a Dirichlet boundary value problem for a system of two coupled…
2025
Spherical Shepard-Bernoulli operator
AbstractWe consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on…
Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results
Abstract This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in…
Optimal approximation of unique continuation
Abstract We consider numerical approximations of ill-posed elliptic problems with conditional stability. The notion of optimal error estimates is defined including…
Computational orders of convergence of iterative methods for Richards’ equation
Abstract Numerical solutions for flows in partially saturated porous media pose challenges related to the non-linearity and elliptic-parabolic degeneracy of…
Role of partial functionals in the study of variational systems
Abstract Applying techniques originally developed for systems lacking a variational structure, we establish conditions for the existence of solutions in…