24 citations · 27 across the 6 of their papers we have counts for
6 papers
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…
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…
Stability and conditioning of immersed finite element methods: analysis and remedies
Frits de Prenter, Clemens Verhoosel, Harald van Brummelen +2
This review paper discusses the developments in immersed or unfitted finite element methods over the past decade. The main focus is the analysis and the treatment of the adverse ef…
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics
Erik Burman, Peter Hansbo, Mats G. Larson
In this paper we will review recent advances in the application of the augmented Lagrange multiplier method as a general approach for generating multiplier--free stabilised methods…