3 papers
math.NA2026
Cut Finite Element Methods for Convection-Diffusion in Mixed-Dimensional Domains
Erik Burman, Peter Hansbo, Mats G. Larson +2
We develop a cut finite element method (CutFEM) for convection--diffusion problems posed on mixed-dimensional domains, i.e., unions of manifolds of different dimensions arranged in…
math.NA2026
Error Estimates for Nitsche's Method on Approximate Domains
Mats G. Larson, Karl Larsson, Shantiram Mahata
We derive a priori error estimates for Nitsche's method applied to elliptic problems on approximate domains. Such approximations arise, for example, in unfitted finite element meth…
math.NA2024
Lowest-order Nonstandard Finite Element Methods for Time-Fractional Biharmonic Problem
Shantiram Mahata, Neela Nataraj, Jean-Pierre Raymond
In this work, we consider an initial-boundary value problem for a time-fractional biharmonic equation in a bounded polygonal domain with a Lipschitz continuous boundary in $\mathbb…