106 citations · 948 across the 81 of their papers we have counts for
5 papers · 1 filter
The Geometric Structure of Fully-Connected ReLU Layers
Jonatan Vallin, Karl Larsson, Mats G. Larson
We formalize and interpret the geometric structure of -dimensional fully connected ReLU layers in neural networks. The parameters of a ReLU layer induce a natural partition of t…
Error Estimates for Finite Element Approximations of Viscoelastic Dynamics: The Generalized Maxwell Model
Martin Björklund, Karl Larsson, Mats G. Larson
We prove error estimates for a finite element approximation of viscoelastic dynamics based on continuous Galerkin in space and time, both in energy norm and in norm. The proo…
Space-Time CutFEM on Overlapping Meshes: Simple Continuous Mesh Motion
Mats G. Larson, Anders Logg, Carl Lundholm
We present a cut finite element method for the heat equation on two overlapping meshes: a stationary background mesh and an overlapping mesh that moves around inside/"on top" of it…
Space-Time CutFEM on Overlapping Meshes: Simple Discontinuous Mesh Evolution
Mats G. Larson, Carl Lundholm
We present a cut finite element method for the heat equation on two overlapping meshes: a stationary background mesh and an overlapping mesh that evolves inside/"on top" of it. Her…
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics
Stein K. F. Stoter, Sai C. Divi, E. Harald van Brummelen +3
In this article, we study the effect of small-cut elements on the critical time-step size in an immersogeometric context. We analyze different formulations for second-order (membra…