106 citations · 281 across the 10 of their papers we have counts for
12 papers
Adaptive multilevel subset simulation with selective refinement
Daniel Elfverson, Robert Scheichl, Simon Weissmann +1
In this work we propose an adaptive multilevel version of subset simulation to estimate the probability of rare events for complex physical systems. Given a sequence of nested fail…
Hybridized CutFEM for Elliptic Interface Problems
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We design and analyze a hybridized cut finite element method for elliptic interface problems. In this method very general meshes can be coupled over internal unfitted interfaces, t…
Cut Topology Optimization for Linear Elasticity with Coupling to Parametric Nondesign Domain Regions
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We develop a density based topology optimization method for linear elasticity based on the cut finite element method. More precisely, the design domain is discretized using cut fin…
A New Least Squares Stabilized Nitsche Method for Cut Isogeometric Analysis
Daniel Elfverson, Mats G. Larson, Karl Larsson
We derive a new stabilized symmetric Nitsche method for enforcement of Dirichlet boundary conditions for elliptic problems of second order in cut isogeometric analysis (CutIGA). We…
CutIGA with Basis Function Removal
Daniel Elfverson, Mats G. Larson, Karl Larsson
We consider a cut isogeometric method, where the boundary of the domain is allowed to cut through the background mesh in an arbitrary fashion for a second order elliptic model prob…
Shape Optimization Using the Cut Finite Element Method
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We present a cut finite element method for shape optimization in the case of linear elasticity. The elastic domain is defined by a level-set function, and the evolution of the doma…
A Cut Finite Element Method for the Bernoulli Free Boundary Value Problem
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We develop a cut finite element method for the Bernoulli free boundary problem. The free boundary, represented by an approximate signed distance function on a fixed background mesh…
A discontinuous Galerkin multiscale method for convection-diffusion problems
Daniel Elfverson
We propose an discontinuous Galerkin local orthogonal decomposition multiscale method for convection-diffusion problems with rough, heterogeneous, and highly varying coefficients.…
Multiscale methods for problems with complex geometry
Daniel Elfverson, Mats G. Larson, Axel Målqvist
We propose a multiscale method for elliptic problems on complex domains, e.g. domains with cracks or complicated boundary. For local singularities this paper also offers a discrete…
A multilevel Monte Carlo method for computing failure probabilities
Daniel Elfverson, Fredrik Hellman, Axel Målqvist
We propose and analyze a method for computing failure probabilities of systems modeled as numerical deterministic models (e.g., PDEs) with uncertain input data. A failure occurs wh…
On Multiscale Methods in Petrov-Galerkin formulation
Daniel Elfverson, Victor Ginting, Patrick Henning
In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomp…
Convergence of a discontinuous Galerkin multiscale method
Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist +1
A convergence result for a discontinuous Galerkin multiscale method for a second order elliptic problem is presented. We consider a heterogeneous and highly varying diffusion coeff…