5 citations · 10 across the 6 of their papers we have counts for
6 papers
Learning Nonlinear Finite Element Solution Operators using Multilayer Perceptrons and Energy Minimization
Mats G. Larson, Carl Lundholm, Anna Persson
We develop and evaluate a method for learning solution operators to nonlinear problems governed by partial differential equations (PDEs). The approach is based on a finite element…
Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators
Erik Burman, Mats G. Larson, Karl Larsson +1
We consider an inverse problem involving the reconstruction of the solution to a nonlinear partial differential equation (PDE) with unknown boundary conditions. Instead of direct b…
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…
Solving Poisson's Equation on the Microsoft HoloLens
Anders Logg, Carl Lundholm, Magne Nordaas
We present a mixed reality application (HoloFEM) for the Microsoft HoloLens. The application lets a user define and solve a physical problem governed by Poisson's equation with the…
Multi-mesh multi-objective optimization with application to a model problem in urban design
Anders Logg, Christian Valdemar Lorenzen, Carl Lundholm
We present an application of multi-mesh finite element methods as part of a methodology for optimizing settlement layouts. By formulating a multi-objective optimization problem, we…