Author

Erik Burman

3 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

Normal Equations and Discrete Energy Structures for High-Order Streamline Diffusion

We analyse fully discrete Streamline Diffusion finite element methods, also known as SUPG methods, for time-dependent first-order systems with skew-symmetric spatial operators. To the best of our knowledge, this is the first stability and a priori error analysis of strongly consistent Streamline Diffusion finite elemen...

Erik Burman, P. Hansbo, M. G. Larson · 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

Preprint Sep 2026

Boundary Value Correction for the Boundary Element Method

We develop a boundary element method for the Laplace equation with Dirichlet boundary conditions in a bounded three-dimensional domain. The method uses flat panels of maximum diameter \(h\) on an interior surrogate boundary and corrects the imposed boundary values by a first-order Taylor expansion along the panel norma...

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