On the design of locking free ghost penalty stabilization and the relation to CutFEM with discrete extension.

Mats G. Larson Umeå University, Umeå, Sweden https://www.umu.se/personal/mats-larson/

Erik Burman Peter Hansbo Mats G. Larson On the design of locking free ghost penalty stabilization and the relation to CutFEM with discrete extension. 2026 February 249-280 158 Numerische Mathematik 1 https://doi.org/10.1007/s00211-025-01502-6 db/journals/nm/nm158.html#BurmanHL26 streams/journals/nm

Erik Burman Mats G. Larson Karl Larsson 0001 Jonatan Vallin Solving Inverse Parametrized Problems via Finite Elements and Extreme Learning Networks. 2026 February abs/2602.14757 CoRR https://doi.org/10.48550/arXiv.2602.14757 db/journals/corr/corr2602.html#abs-2602-14757 streams/journals/corr

Mats G. Larson Karl Larsson 0001 Shantiram Mahata Error Estimates for Nitsche's Method on Approximate Domains. 2026 April abs/2604.00861 CoRR https://doi.org/10.48550/arXiv.2604.00861 db/journals/corr/corr2604.html#abs-2604-00861 streams/journals/corr

Erik Burman Peter Hansbo Mats G. Larson Karl Larsson 0001 Shantiram Mahata Cut Finite Element Methods for Convection-Diffusion in Mixed-Dimensional Domains. 2026 April abs/2604.07162 CoRR https://doi.org/10.48550/arXiv.2604.07162 db/journals/corr/corr2604.html#abs-2604-07162 streams/journals/corr

Erik Burman Peter Hansbo Mats G. Larson Sara Zahedi Cut finite element methods. 1-121 2025 34 Acta Numer. https://doi.org/10.1017/s0962492925000017 db/journals/actanum/actanum34.html#BurmanHLZ25 streams/journals/actanum

Tobias Jonsson Mats G. Larson Karl Larsson 0001 Robust Multipatch IGA with Singular Maps. 2025 January abs/2501.08749 CoRR https://doi.org/10.48550/arXiv.2501.08749 db/journals/corr/corr2501.html#abs-2501-08749 streams/journals/corr

Erik Burman Peter Hansbo Mats G. Larson Hybridized Augmented Lagrangian Methods for Contact Problems. 2025 January abs/2501.16882 CoRR https://doi.org/10.48550/arXiv.2501.16882 db/journals/corr/corr2501.html#abs-2501-16882 streams/journals/corr

Hannes Marklund Martin Servin Mats G. Larson Joint parameter and state estimation for regularized time-discrete multibody dynamics. 2025 February abs/2502.06599 CoRR https://doi.org/10.48550/arXiv.2502.06599 db/journals/corr/corr2502.html#abs-2502-06599 streams/journals/corr

Philip Charles Deep Ray Yue Yu Joost Prins Hugo Melchers Michael R. A. Abdelmalik Jeffrey Cochran Assad A. Oberai Thomas J. R. Hughes Mats G. Larson An optimal Petrov-Galerkin framework for operator networks. 2025 March abs/2503.04024 CoRR https://doi.org/10.48550/arXiv.2503.04024 db/journals/corr/corr2503.html#abs-2503-04024 streams/journals/corr

Mats G. Larson Anders Logg Carl Lundholm Space-time CutFEM on overlapping meshes I: simple continuous mesh motion. 1015-1054 2024 June 156 Numerische Mathematik 3 https://doi.org/10.1007/s00211-024-01417-8 db/journals/nm/nm156.html#LarsonLL24

Mats G. Larson Carl Lundholm Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution. 1055-1083 2024 June 156 Numerische Mathematik 3 https://doi.org/10.1007/s00211-024-01413-y db/journals/nm/nm156.html#LarsonL24

Erik Burman Peter Hansbo Mats G. Larson Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach. 893-918 2024 62 SIAM J. Numer. Anal. 2 https://doi.org/10.1137/22m1542933 db/journals/siamnum/siamnum62.html#BurmanHL24

Jonatan Vallin Karl Larsson 0001 Mats G. Larson Implicit Hypersurface Approximation Capacity in Deep ReLU Networks. 2024 abs/2407.03851 CoRR https://doi.org/10.48550/arXiv.2407.03851 db/journals/corr/corr2407.html#abs-2407-03851 streams/journals/corr

Erik Burman Mats G. Larson Karl Larsson 0001 Carl Lundholm Stabilizing and Solving Inverse Problems using Data and Machine Learning. 2024 abs/2412.04409 CoRR https://doi.org/10.48550/arXiv.2412.04409 db/journals/corr/corr2412.html#abs-2412-04409 streams/journals/corr

Mats G. Larson Carl Lundholm Anna Persson Nonlinear Operator Learning Using Energy Minimization and MLPs. 2024 abs/2412.04596 CoRR https://doi.org/10.48550/arXiv.2412.04596 db/journals/corr/corr2412.html#abs-2412-04596 streams/journals/corr

Erik Burman Peter Hansbo Mats G. Larson Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions. 35-54 2023 August 93 Math. Comput. 345 https://doi.org/10.1090/mcom/3875 db/journals/moc/moc93.html#BurmanHL23

Mats G. Larson Carl Lundholm A cut finite element method for the heat equation on overlapping meshes: L<sup>2</sup>-analysis for dG(0) mesh movement. 2023 abs/2301.13517 CoRR https://doi.org/10.48550/arXiv.2301.13517 db/journals/corr/corr2301.html#abs-2301-13517

Mats G. Larson Anders Logg Carl Lundholm Space-Time CutFEM on Overlapping Meshes: Simple Continuous Mesh Motion. 2023 abs/2302.00337 CoRR https://doi.org/10.48550/arXiv.2302.00337 db/journals/corr/corr2302.html#abs-2302-00337

Stein K. F. Stoter Sai C. Divi E. Harald van Brummelen Mats G. Larson Frits de Prenter Clemens V. Verhoosel Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics. 2023 abs/2302.07019 CoRR https://doi.org/10.48550/arXiv.2302.07019 db/journals/corr/corr2302.html#abs-2302-07019

Jonatan Vallin Karl Larsson 0001 Mats G. Larson The Geometric Structure of Fully-Connected ReLU-Layers. 2023 abs/2310.03482 CoRR https://doi.org/10.48550/arXiv.2310.03482 db/journals/corr/corr2310.html#abs-2310-03482

Martin Björklund Karl Larsson 0001 Mats G. Larson Error Estimates for Finite Element Approximations of Viscoelastic Dynamics: The Generalized Maxwell Model. 2023 abs/2311.12667 CoRR https://doi.org/10.48550/arXiv.2311.12667 db/journals/corr/corr2311.html#abs-2311-12667

Erik Burman Peter Hansbo Mats G. Larson CutFEM based on extended finite element spaces. 331-369 2022 152 Numerische Mathematik 2 https://doi.org/10.1007/s00211-022-01313-z https://www.wikidata.org/entity/Q114231009 db/journals/nm/nm152.html#BurmanHL22

Erik Burman Peter Hansbo Mats G. Larson Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension. 1254- 2022 44 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/20m137937x db/journals/siamsc/siamsc44.html#BurmanHL22

Peter Hansbo Mats G. Larson Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems. 2022 abs/2202.08596 CoRR https://arxiv.org/abs/2202.08596 db/journals/corr/corr2202.html#abs-2202-08596

Erik Burman Peter Hansbo Mats G. Larson On the Design of Locking Free Ghost Penalty Stabilization and the Relation to CutFEM with Discrete Extension. 2022 abs/2205.01340 CoRR https://doi.org/10.48550/arXiv.2205.01340 db/journals/corr/corr2205.html#abs-2205-01340

Peter Hansbo Mats G. Larson A simple nonconforming tetrahedral element for the Stokes equations. 2022 abs/2205.02013 CoRR https://doi.org/10.48550/arXiv.2205.02013 db/journals/corr/corr2205.html#abs-2205-02013

Erik Burman Peter Hansbo Mats G. Larson Karl Larsson 0001 Extension Operators for Trimmed Spline Spaces. 2022 abs/2205.06543 CoRR https://doi.org/10.48550/arXiv.2205.06543 db/journals/corr/corr2205.html#abs-2205-06543

Erik Burman Peter Hansbo Mats G. Larson The augmented Lagrangian method as a framework for stabilised methods in computational mechanics. 2022 abs/2207.00294 CoRR https://doi.org/10.48550/arXiv.2207.00294 db/journals/corr/corr2207.html#abs-2207-00294

Erik Burman Peter Hansbo Mats G. Larson Cut finite element method for divergence free approximation of incompressible flow: optimal error estimates and pressure independence. 2022 abs/2207.04734 CoRR https://doi.org/10.48550/arXiv.2207.04734 db/journals/corr/corr2207.html#abs-2207-04734

Frits de Prenter Clemens Verhoosel Harald van Brummelen Mats G. Larson Santiago Badia Stability and conditioning of immersed finite element methods: analysis and remedies. 2022 abs/2208.08538 CoRR https://doi.org/10.48550/arXiv.2208.08538 db/journals/corr/corr2208.html#abs-2208-08538

Tobias Jonsson Mats G. Larson Karl Larsson 0001 Hybridized Isogeometric Method for Elliptic Problems on CAD Surfaces with Gaps. 2022 abs/2210.01617 CoRR https://doi.org/10.48550/arXiv.2210.01617 db/journals/corr/corr2210.html#abs-2210-01617

Erik Burman Cuiyu He Mats G. Larson Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem. 35 2021 88 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-021-01544-6 db/journals/jscic/jscic88.html#BurmanHL21

Erik Burman Peter Hansbo Mats G. Larson CutFEM Based on Extended Finite Element Spaces. 2021 abs/2101.10052 CoRR https://arxiv.org/abs/2101.10052 db/journals/corr/corr2101.html#abs-2101-10052

Erik Burman Peter Hansbo Mats G. Larson Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization. 2021 abs/2102.00043 CoRR https://arxiv.org/abs/2102.00043 db/journals/corr/corr2102.html#abs-2102-00043

Mats G. Larson Sara Zahedi Conservative Discontinuous Cut Finite Element Methods. 2021 abs/2105.02202 CoRR https://arxiv.org/abs/2105.02202 db/journals/corr/corr2105.html#abs-2105-02202

Peter Hansbo Mats G. Larson Nitsche's Finite Element Method for Model Coupling in Elasticity. 2021 abs/2106.01174 CoRR https://arxiv.org/abs/2106.01174 db/journals/corr/corr2106.html#abs-2106-01174

Karl Larsson 0001 Stefan Kollmannsberger Ernst Rank Mats G. Larson The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions. 2021 abs/2110.14225 CoRR https://arxiv.org/abs/2110.14225 db/journals/corr/corr2110.html#abs-2110-14225

Erik Burman Peter Hansbo Mats G. Larson Cut Bogner-Fox-Schmit elements for plates. 27 2020 7 Adv. Model. Simul. Eng. Sci. 1 https://doi.org/10.1186/s40323-020-00164-3 db/journals/amses/amses7.html#BurmanHL20

Erik Burman Peter Hansbo Mats G. Larson A cut finite element method for a model of pressure in fractured media. 783-818 2020 146 Numerische Mathematik 4 https://doi.org/10.1007/s00211-020-01157-5 db/journals/nm/nm146.html#BurmanHL20

Erik Burman Peter Hansbo Mats G. Larson A cut finite element method for a model of pressure in fractured media. 2020 abs/2006.01521 CoRR https://arxiv.org/abs/2006.01521 db/journals/corr/corr2006.html#abs-2006-01521

Erik Burman Peter Hansbo Mats G. Larson Low Regularity Estimates for CutFEM Approximations of an Elliptic Problem with Mixed Boundary Conditions. 2020 abs/2007.02562 CoRR https://arxiv.org/abs/2007.02562 db/journals/corr/corr2007.html#abs-2007-02562

Erik Burman Cuiyu He Mats G. Larson Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem. 2020 abs/2008.09668 CoRR https://arxiv.org/abs/2008.09668 db/journals/corr/corr2008.html#abs-2008-09668

Erik Burman Peter Hansbo Mats G. Larson Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension. 2020 abs/2011.05386 CoRR https://arxiv.org/abs/2011.05386 db/journals/corr/corr2011.html#abs-2011-05386

Erik Burman Peter Hansbo Mats G. Larson Sara Zahedi Stabilized CutFEM for the convection problem on surfaces. 103-139 2019 141 Numerische Mathematik 1 https://doi.org/10.1007/s00211-018-0989-8 db/journals/nm/nm141.html#BurmanHLZ19

Erik Burman Peter Hansbo Mats G. Larson Karl Larsson 0001 André Massing Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. 141-172 2019 141 Numerische Mathematik 1 https://doi.org/10.1007/s00211-018-0990-2 https://www.wikidata.org/entity/Q92582406 db/journals/nm/nm141.html#BurmanHLLM19

Erik Burman Daniel Elfverson Peter Hansbo Mats G. Larson Karl Larsson 0001 Hybridized CutFEM for Elliptic Interface Problems. A3354-A3380 2019 41 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/18M1223836 https://www.wikidata.org/entity/Q126992015 db/journals/siamsc/siamsc41.html#BurmanEHLL19

Erik Burman Peter Hansbo Mats G. Larson Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. 509-519 2019 ENUMATH https://doi.org/10.1007/978-3-030-55874-1_50 conf/enumath/2019 db/conf/enumath/enumath2019.html#BurmanHL19

Erik Burman Cuiyu He Mats G. Larson A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method. 2019 abs/1906.00879 CoRR http://arxiv.org/abs/1906.00879 db/journals/corr/corr1906.html#abs-1906-00879

Erik Burman Mats G. Larson Peter Hansbo Cut Bogner-Fox-Schmit Elements for Plates. 2019 abs/1911.00239 CoRR http://arxiv.org/abs/1911.00239 db/journals/corr/corr1911.html#abs-1911-00239

Erik Burman Peter Hansbo Mats G. Larson Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. 2019 abs/1912.07013 CoRR http://arxiv.org/abs/1912.07013 db/journals/corr/corr1912.html#abs-1912-07013

Daniel Elfverson Mats G. Larson Karl Larsson 0001 CutIGA with basis function removal. 6:1-6:19 2018 5 Adv. Model. Simul. Eng. Sci. 1 https://doi.org/10.1186/s40323-018-0099-2 https://www.wikidata.org/entity/Q130127127 db/journals/amses/amses5.html#ElfversonLL18

Thomas Boiveau Erik Burman Susanne Claus Mats G. Larson Fictitious domain method with boundary value correction using penalty-free Nitsche method. 77-95 2018 26 J. Num. Math. 2 https://doi.org/10.1515/jnma-2016-1103 db/journals/jnma/jnma26.html#BoiveauBCL18

Erik Burman Peter Hansbo Mats G. Larson A cut finite element method with boundary value correction. 633-657 2018 87 Math. Comput. 310 https://doi.org/10.1090/mcom/3240 db/journals/moc/moc87.html#BurmanHL18

Erik Burman Mats G. Larson Lauri Oksanen Primal-Dual Mixed Finite Element Methods for the Elliptic Cauchy Problem. 3480-3509 2018 56 SIAM J. Numer. Anal. 6 https://doi.org/10.1137/17M1163335 https://www.wikidata.org/entity/Q128762145 db/journals/siamnum/siamnum56.html#BurmanLO18

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. 2018 abs/1807.01480 CoRR http://arxiv.org/abs/1807.01480 db/journals/corr/corr1807.html#abs-1807-01480

Karl Larsson 0001 Mats G. Larson A continuous/discontinuous Galerkin method and a priori error estimates for the biharmonic problem on surfaces. 2613-2649 2017 86 Math. Comput. 308 https://doi.org/10.1090/mcom/3179 db/journals/moc/moc86.html#LarssonL17

Erik Burman Peter Hansbo Mats G. Larson The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem. 2523-2539 2017 55 SIAM J. Numer. Anal. 6 https://doi.org/10.1137/16M107846X db/journals/siamnum/siamnum55.html#BurmanHL17

Erik Burman Peter Hansbo Mats G. Larson Sara Zahedi Cut finite element methods for coupled bulk-surface problems. 203-231 2016 133 Numerische Mathematik 2 https://doi.org/10.1007/s00211-015-0744-3 db/journals/nm/nm133.html#BurmanHLZ16

August Johansson Mats G. Larson Anders Logg High order cut finite element methods for the Stokes problem. 24:1-24:23 2015 2 Adv. Model. Simul. Eng. Sci. 1 https://doi.org/10.1186/s40323-015-0043-7 https://www.wikidata.org/entity/Q59428855 db/journals/amses/amses2.html#JohanssonLL15

Peter Hansbo Mats G. Larson Sara Zahedi Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces. 1806-1832 2015 53 SIAM J. Numer. Anal. 4 https://doi.org/10.1137/140982696 db/journals/siamnum/siamnum53.html#HansboLZ15

André Massing Mats G. Larson Anders Logg Marie E. Rognes A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem. 604-628 2014 61 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-014-9838-9 db/journals/jscic/jscic61.html#MassingLLR14

André Massing Mats G. Larson Anders Logg Marie E. Rognes A stabilized Nitsche overlapping mesh method for the Stokes problem. 73-101 2014 128 Numerische Mathematik 1 https://doi.org/10.1007/s00211-013-0603-z db/journals/nm/nm128.html#MassingLLR14

Holger Graf Mats G. Larson André Stork Interactive 3D subdomaining using adaptive FEM based on solutions to the dual problem. 11:1-11:8 2014 VRIC https://doi.org/10.1145/2617841.2620696 conf/vric/2014 db/conf/vric/vric2014.html#GrafLS14

August Johansson Mats G. Larson A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary. 607-628 2013 123 Numerische Mathematik 4 https://doi.org/10.1007/s00211-012-0497-1 db/journals/nm/nm123.html#JohanssonL13

André Massing Mats G. Larson Anders Logg Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions. 2013 35 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/11085949X db/journals/siamsc/siamsc35.html#MassingLL13

Karl Larsson 0001 Mats G. Larson Continuous piecewise linear finite elements for the Kirchhoff-Love plate equation. 65-97 2012 121 Numerische Mathematik 1 https://doi.org/10.1007/s00211-011-0429-5 db/journals/nm/nm121.html#LarssonL12

Mats G. Larson Axel Målqvist A posteriori error estimates for mixed finite element approximations of parabolic problems. 33-48 2011 118 Numerische Mathematik 1 https://doi.org/10.1007/s00211-010-0328-1 db/journals/nm/nm118.html#LarsonM11

Varis Carey Donald J. Estep August Johansson Mats G. Larson Simon Tavener Blockwise Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions. 2121-2145 2010 32 SIAM J. Sci. Comput. 4 https://doi.org/10.1137/090753826 db/journals/siamsc/siamsc32.html#CareyEJLT10

Karl Larsson 0001 Göran Wallgren Mats G. Larson Interactive Simulation of a Continuum Mechanics based Torsional Thread. 49-58 2010 VRIPHYS https://doi.org/10.2312/PE/vriphys/vriphys10/049-058 conf/vriphys/2010 db/conf/vriphys/vriphys2010.html#LarssonWL10

Mats G. Larson Axel Målqvist A posteriori error estimates for mixed finite element approximations of elliptic problems. 487-500 2008 108 Numerische Mathematik 3 https://doi.org/10.1007/s00211-007-0121-y db/journals/nm/nm108.html#LarsonM08

Mats G. Larson Multi-scale Physics: Minisymposium Abstract. 732 2006 conf/para/2006 PARA https://doi.org/10.1007/978-3-540-75755-9_89 db/conf/para/para2006.html#Larson06 Fredrik Bengzon August Johansson Mats G. Larson Robert Söderlund Simulation of Multiphysics Problems Using Adaptive Finite Elements. 733-743 2006 conf/para/2006 PARA https://doi.org/10.1007/978-3-540-75755-9_90 db/conf/para/para2006.html#BengzonJLS06

Rickard Bensow Mats G. Larson Discontinuous Least-Squares finite element method for the Div-Curl problem. 601-617 2005 101 Numerische Mathematik 4 https://doi.org/10.1007/s00211-005-0600-y db/journals/nm/nm101.html#BensowL05

Donald J. Estep Michael J. Holst Mats G. Larson Generalized Green's Functions and the Effective Domain of Influence. 1314-1339 2005 26 SIAM J. Sci. Comput. 4 https://doi.org/10.1137/S1064827502416319 db/journals/siamsc/siamsc26.html#EstepHL05

Mats G. Larson A. Jonas Niklasson Analysis of a family of discontinuous Galerkin methods for elliptic problems: the one dimensional case. 113-130 2004 99 Numerische Mathematik 1 https://doi.org/10.1007/s00211-004-0528-7 db/journals/nm/nm99.html#LarsonN04

Mats G. Larson A. Jonas Niklasson Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates. 252-264 2004 42 SIAM J. Numer. Anal. 1 https://doi.org/10.1137/S0036142902413160 db/journals/siamnum/siamnum42.html#LarsonN04

Mats G. Larson A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems. 608-625 2000 38 SIAM J. Numer. Anal. 2 https://doi.org/10.1137/S0036142997320164 db/journals/siamnum/siamnum38.html#Larson00

Mats G. Larson A. Jonas Niklasson Adaptive multilevel finite element approximations of semilinear elliptic boundary value problems. 249-274 1999 84 Numerische Mathematik 2 https://doi.org/10.1007/s002110050471 db/journals/nm/nm84.html#LarsonN99

Michael R. A. Abdelmalik Santiago Badia Fredrik Bengzon Rickard Bensow Martin Björklund Thomas Boiveau Harald van BrummelenE. Harald van Brummelen Erik Burman Varis Carey Philip Charles Susanne Claus Jeffrey Cochran Sai C. Divi Daniel Elfverson Donald J. Estep Holger Graf Peter Hansbo Cuiyu He Michael J. Holst Thomas J. R. Hughes August Johansson Tobias Jonsson Stefan Kollmannsberger Karl Larsson 0001 Anders Logg Carl Lundholm Shantiram Mahata Axel Målqvist Hannes Marklund André Massing Hugo Melchers A. Jonas Niklasson Assad A. Oberai Lauri Oksanen Anna Persson Frits de Prenter Joost Prins Ernst Rank Deep Ray Marie E. Rognes Martin Servin Robert Söderlund André Stork Stein K. F. Stoter Simon Tavener Jonatan Vallin Clemens VerhooselClemens V. Verhoosel Göran Wallgren Yue Yu Sara Zahedi