Author

K. Larsson

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Preprint Oct 2026

One-Sided $p$-Explicit Stability for High-Order Cut Finite Element Nitsche Methods

We give a one-sided stability argument for high-order cut finite elements with symmetric Nitsche boundary conditions. On each boundary patch, an $H^1$-projection splits the discrete function into a single polynomial and a stabilized residual. Inward segments control the polynomial inside the physical domain; complete-e...

Erik Burman, P. Hansbo, M. G. Larson et al. · 0 citations

Preprint Sep 2026

Latent Inversion of Material Coefficients from Boundary Data via Finite Tests and Neural Surrogates

We reconstruct a spatially varying material coefficient in a scalar elliptic equation from finitely many boundary excitations, each producing a full Dirichlet trace. To mitigate the ill-posedness and the cost of repeated PDE solves, we restrict the coefficient to a low-dimensional family, specified analytically or lear...

Erik Burman, M. G. Larson, K. Larsson et al. · 0 citations