106 citations · 495 across the 26 of their papers we have counts for
26 papers · 1 filter
Latent Inversion of Material Coefficients from Boundary Data via Finite Tests and Neural Surrogates
Erik Burman, Mats G. Larson, Karl Larsson +1
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 th…
Cut Finite Element Methods for Convection-Diffusion in Mixed-Dimensional Domains
Erik Burman, Peter Hansbo, Mats G. Larson +2
We develop a cut finite element method (CutFEM) for convection--diffusion problems posed on mixed-dimensional domains, i.e., unions of manifolds of different dimensions arranged in…
Error Estimates for Nitsche's Method on Approximate Domains
Mats G. Larson, Karl Larsson, Shantiram Mahata
We derive a priori error estimates for Nitsche's method applied to elliptic problems on approximate domains. Such approximations arise, for example, in unfitted finite element meth…
Solving Inverse Parametrized Problems via Finite Elements and Extreme Learning Networks
Erik Burman, Mats G. Larson, Karl Larsson +1
We develop an interpolation-based modeling framework for parameter-dependent partial differential equations arising in control, inverse problems, and uncertainty quantification. Th…
Robust Trimmed Multipatch IGA with Singular Maps
Tobias Jonsson, Mats G. Larson, Karl Larsson
We consider elliptic problems in multipatch isogeometric analysis (IGA) where the patch parameterizations may be singular. Specifically, we address cases where certain dimensions o…
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…
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…
Hybridized Isogeometric Method for Elliptic Problems on CAD Surfaces with Gaps
Tobias Jonsson, Mats G. Larson, Karl Larsson
We develop a method for solving elliptic partial differential equations on surfaces described by CAD patches that may have gaps/overlaps. The method is based on hybridization using…
Extension Operators for Trimmed Spline Spaces
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree with continuous derivatives. The construction is b…
The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions
Karl Larsson, Stefan Kollmannsberger, Ernst Rank +1
We apply the recently developed least squares stabilized symmetric Nitsche method for enforcement of Dirichlet boundary conditions to the finite cell method. The least squares stab…
Graded Parametric CutFEM and CutIGA for Elliptic Boundary Value Problems in Domains with Corners
Tobias Jonsson, Mats G. Larson, Karl Larsson
We develop a parametric cut finite element method for elliptic boundary value problems with corner singularities where we have weighted control of higher order derivatives of the s…
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…
Cut Finite Elements for Convection in Fractured Domains
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a cut finite element method (CutFEM) for the convection problem in a so called fractured domain which is a union of manifolds of different dimensions such that a dim…
A Nitsche Method for Elliptic Problems on Composite Surfaces
Peter Hansbo, Tobias Jonsson, Mats G. Larson +1
We develop a finite element method for elliptic partial differential equations on so called composite surfaces that are built up out of a finite number of surfaces with boundaries…
Cut Finite Element Methods for Linear Elasticity Problems
Peter Hansbo, Mats G. Larson, Karl Larsson
We formulate a cut finite element method for linear elasticity based on higher order elements on a fixed background mesh. Key to the method is a stabilization term which provides c…
Cut Finite Element Methods for Elliptic Problems on Multipatch Parametric Surfaces
Tobias Jonsson, Mats G. Larson, Karl Larsson
We develop a finite element method for the Laplace--Beltrami operator on a surface described by a set of patchwise parametrizations. The patches provide a partition of the surface…
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…
Analysis of Finite Element Methods for Vector Laplacians on Surfaces
Peter Hansbo, Mats G. Larson, Karl Larsson
We develop a finite element method for the vector Laplacian based on the covariant derivative of tangential vector fields on surfaces embedded in . Closely related op…
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…
Finite Element Approximation of the Laplace-Beltrami Operator on a Surface with Boundary
E. Burman, P. Hansbo, M. G. Larson +2
We develop a finite element method for the Laplace-Beltrami operator on a surface with boundary and nonhomogeneous Dirichlet boundary conditions. The method is based on a triangula…
Continuous Piecewise Linear Finite Elements for the Kirchhoff-Love Plate Equation
Karl Larsson, Mats G. Larson
A family of continuous piecewise linear finite elements for thin plate problems is presented. We use standard linear interpolation of the deflection field to reconstruct a disconti…