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Peter Hansbo
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2020 – today
- 2024
- [j19]Erik Burman
, Peter Hansbo
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach. SIAM J. Numer. Anal. 62(2): 893-918 (2024) - [j18]Thomas Frachon, Peter Hansbo
A Divergence Preserving Cut Finite Element Method for Darcy Flow. SIAM J. Sci. Comput. 46(3): 1793- (2024) - 2023
- [j17]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): 35-54 (2023) - 2022
- [j16]Erik Burman, Peter Hansbo, Mats G. Larson:
CutFEM based on extended finite element spaces. Numerische Mathematik 152(2): 331-369 (2022) - [j15]Erik Burman
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension. SIAM J. Sci. Comput. 44(3): 1254- (2022) - [i19]Peter Hansbo, Mats G. Larson:
Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems. CoRR abs/2202.08596 (2022) - [i18]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 abs/2205.01340 (2022) - [i17]Peter Hansbo, Mats G. Larson:
A simple nonconforming tetrahedral element for the Stokes equations. CoRR abs/2205.02013 (2022) - [i16]Erik Burman, Peter Hansbo, Mats G. Larson, Karl Larsson:
Extension Operators for Trimmed Spline Spaces. CoRR abs/2205.06543 (2022) - [i15]Thomas Frachon, Peter Hansbo, Erik Nilsson, Sara Zahedi:
A divergence preserving cut finite element method for Darcy flow. CoRR abs/2205.12023 (2022) - [i14]Erik Burman, Peter Hansbo, Mats G. Larson:
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics. CoRR abs/2207.00294 (2022) - [i13]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 abs/2207.04734 (2022) - 2021
- [i12]Erik Burman, Peter Hansbo, Mats G. Larson:
CutFEM Based on Extended Finite Element Spaces. CoRR abs/2101.10052 (2021) - [i11]Erik Burman, Peter Hansbo, Mats G. Larson:
Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization. CoRR abs/2102.00043 (2021) - [i10]Peter Hansbo, Mats G. Larson:
Nitsche's Finite Element Method for Model Coupling in Elasticity. CoRR abs/2106.01174 (2021) - 2020
- [j14]Erik Burman, Peter Hansbo
Cut Bogner-Fox-Schmit elements for plates. Adv. Model. Simul. Eng. Sci. 7(1): 27 (2020) - [j13]Erik Burman, Peter Hansbo, Mats G. Larson:
A cut finite element method for a model of pressure in fractured media. Numerische Mathematik 146(4): 783-818 (2020) - [i9]Erik Burman, Snorre Christiansen, Peter Hansbo:
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. CoRR abs/2003.10746 (2020) - [i8]Erik Burman, Peter Hansbo, Mats G. Larson:
A cut finite element method for a model of pressure in fractured media. CoRR abs/2006.01521 (2020) - [i7]Erik Burman, Peter Hansbo, Mats G. Larson:
Low Regularity Estimates for CutFEM Approximations of an Elliptic Problem with Mixed Boundary Conditions. CoRR abs/2007.02562 (2020) - [i6]Erik Burman, Peter Hansbo, Mats G. Larson:
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension. CoRR abs/2011.05386 (2020)
2010 – 2019
- 2019
- [j12]Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi:
Stabilized CutFEM for the convection problem on surfaces. Numerische Mathematik 141(1): 103-139 (2019) - [j11]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): 141-172 (2019) - [j10]Erik Burman, Daniel Elfverson
Hybridized CutFEM for Elliptic Interface Problems. SIAM J. Sci. Comput. 41(5): A3354-A3380 (2019) - [c1]Erik Burman, Peter Hansbo, Mats G. Larson:
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. ENUMATH 2019: 509-519 - [i5]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 abs/1907.13340 (2019) - [i4]Erik Burman, Mats G. Larson, Peter Hansbo:
Cut Bogner-Fox-Schmit Elements for Plates. CoRR abs/1911.00239 (2019) - [i3]Erik Burman, Peter Hansbo, Mats G. Larson:
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. CoRR abs/1912.07013 (2019) - 2018
- [j9]Erik Burman, Peter Hansbo, Mats G. Larson:
A cut finite element method with boundary value correction. Math. Comput. 87(310): 633-657 (2018) - [j8]Erik Burman, Peter Hansbo:
Stabilized nonconforming finite element methods for data assimilation in incompressible flows. Math. Comput. 87(311): 1029-1050 (2018) - [i2]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 abs/1807.01480 (2018) - 2017
- [j7]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): 2523-2539 (2017) - 2016
- [j6]Erik Burman
Cut finite element methods for coupled bulk-surface problems. Numerische Mathematik 133(2): 203-231 (2016) - 2015
- [j5]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): 1806-1832 (2015) - [i1]Peter Hansbo, Kent Salomonsson:
A discontinuous Galerkin method for cohesive zone modelling. CoRR abs/1502.01119 (2015) - 2010
- [j4]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): 6534-6547 (2010) - [j3]Frank Gimbel, Peter Hansbo, Franz-Theo Suttmeier:
An adaptive low-order FE-scheme for Stokes flow with cavitation. J. Num. Math. 18(3): 177-185 (2010)
2000 – 2009
- 2006
- [j2]Erik Burman
Continuous Interior Penalty Finite Element Method for Oseen's Equations. SIAM J. Numer. Anal. 44(3): 1248-1274 (2006) - 2005
- [j1]Peter Hansbo, Carlo Lovadina, Ilaria Perugia
A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. Numerische Mathematik 100(1): 91-115 (2005)
Coauthor Index
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