Peter Hansbo

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 33

Top Topics

Laplacian Eigenmaps

Augmented Lagrangian

Error Estimates

Boundary Conditions

Top Venues

Numerische Mathematik

SIAM J. Numer. Anal.

Publications

Thomas Frachon, Peter Hansbo, Erik Nilsson, Sara Zahedi
A Divergence Preserving Cut Finite Element Method for Darcy Flow. SIAM J. Sci. Comput. 46 (3) (2024)
Erik Burman, Peter Hansbo, Mats G. Larson
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach. SIAM J. Numer. Anal. 62 (2) (2024)
Erik Burman, Peter Hansbo, Mats G. Larson
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions. Math. Comput. 93 (345) (2023)
Erik Burman, Peter Hansbo, Mats G. Larson
On the Design of Locking Free Ghost Penalty Stabilization and the Relation to CutFEM with Discrete Extension. CoRR (2022)
Erik Burman, Peter Hansbo, Mats G. Larson
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics. CoRR (2022)
Erik Burman, Peter Hansbo, Mats G. Larson, Karl Larsson
Extension Operators for Trimmed Spline Spaces. CoRR (2022)
Erik Burman, Peter Hansbo, Mats G. Larson
CutFEM based on extended finite element spaces. Numerische Mathematik 152 (2) (2022)
Peter Hansbo, Mats G. Larson
Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems. CoRR (2022)
Thomas Frachon, Peter Hansbo, Erik Nilsson, Sara Zahedi
A divergence preserving cut finite element method for Darcy flow. CoRR (2022)
Erik Burman, Peter Hansbo, Mats G. Larson
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension. SIAM J. Sci. Comput. 44 (3) (2022)
Peter Hansbo, Mats G. Larson
A simple nonconforming tetrahedral element for the Stokes equations. CoRR (2022)
Erik Burman, Peter Hansbo, Mats G. Larson
Cut finite element method for divergence free approximation of incompressible flow: optimal error estimates and pressure independence. CoRR (2022)
Erik Burman, Peter Hansbo, Mats G. Larson
CutFEM Based on Extended Finite Element Spaces. CoRR (2021)
Erik Burman, Peter Hansbo, Mats G. Larson
Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization. CoRR (2021)
Peter Hansbo, Mats G. Larson
Nitsche's Finite Element Method for Model Coupling in Elasticity. CoRR (2021)
Erik Burman, Peter Hansbo, Mats G. Larson
A cut finite element method for a model of pressure in fractured media. Numerische Mathematik 146 (4) (2020)
Erik Burman, Snorre Christiansen, Peter Hansbo
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. CoRR (2020)
Erik Burman, Peter Hansbo, Mats G. Larson
Low Regularity Estimates for CutFEM Approximations of an Elliptic Problem with Mixed Boundary Conditions. CoRR (2020)
Erik Burman, Peter Hansbo, Mats G. Larson
Cut Bogner-Fox-Schmit elements for plates. Adv. Model. Simul. Eng. Sci. 7 (1) (2020)
Erik Burman, Peter Hansbo, Mats G. Larson
A cut finite element method for a model of pressure in fractured media. CoRR (2020)
Erik Burman, Peter Hansbo, Mats G. Larson
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension. CoRR (2020)
Erik Burman, Peter Hansbo, Mats G. Larson, Karl Larsson, André Massing
Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. Numerische Mathematik 141 (1) (2019)
Erik Burman, Peter Hansbo, Mats G. Larson
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. ENUMATH (2019)
Sara Kallin, Asim Rashid, Kent Salomonsson, Peter Hansbo
Comparison of mechanical conditions in a lower leg model with 5 or 6 tissue types while exposed to prosthetic sockets applying finite element analysis. CoRR (2019)
Erik Burman, Mats G. Larson, Peter Hansbo
Cut Bogner-Fox-Schmit Elements for Plates. CoRR (2019)
Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi
Stabilized CutFEM for the convection problem on surfaces. Numerische Mathematik 141 (1) (2019)
Erik Burman, Peter Hansbo, Mats G. Larson
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. CoRR (2019)
Erik Burman, Daniel Elfverson, Peter Hansbo, Mats G. Larson, Karl Larsson
Hybridized CutFEM for Elliptic Interface Problems. SIAM J. Sci. Comput. 41 (5) (2019)
Erik Burman, Peter Hansbo, Mats G. Larson, André Massing, Sara Zahedi
A Stabilized Cut Streamline Diffusion Finite Element Method for Convection-Diffusion Problems on Surfaces. CoRR (2018)
Erik Burman, Peter Hansbo
Stabilized nonconforming finite element methods for data assimilation in incompressible flows. Math. Comput. 87 (311) (2018)
Erik Burman, Peter Hansbo, Mats G. Larson
A cut finite element method with boundary value correction. Math. Comput. 87 (310) (2018)
Erik Burman, Peter Hansbo, Mats G. Larson
The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem. SIAM J. Numer. Anal. 55 (6) (2017)
Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi
Cut finite element methods for coupled bulk-surface problems. Numerische Mathematik 133 (2) (2016)
Peter Hansbo, Kent Salomonsson
A discontinuous Galerkin method for cohesive zone modelling. CoRR (2015)
Peter Hansbo, Mats G. Larson, Sara Zahedi
Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces. SIAM J. Numer. Anal. 53 (4) (2015)
Peter Hansbo, Thomas Rylander
A linear nonconforming finite element method for Maxwell's equations in two dimensions. Part I: Frequency domain. J. Comput. Phys. 229 (18) (2010)
Frank Gimbel, Peter Hansbo, Franz-Theo Suttmeier
An adaptive low-order FE-scheme for Stokes flow with cavitation. J. Num. Math. 18 (3) (2010)
Erik Burman, Miguel A. Fernández, Peter Hansbo
Continuous Interior Penalty Finite Element Method for Oseen's Equations. SIAM J. Numer. Anal. 44 (3) (2006)
Peter Hansbo, Carlo Lovadina, Ilaria Perugia, Giancarlo Sangalli
A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. Numerische Mathematik 100 (1) (2005)