Erik Burman

ORCID

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 101

Top Venues

CoRR

SIAM J. Numer. Anal.

Numerische Mathematik

SIAM J. Sci. Comput.

Publications

Erik Burman, Deepika Garg, Johnny Guzmán
Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number. CoRR (2024)
Erik Burman, Lauri Oksanen, Ziyao Zhao
Computational unique continuation with finite dimensional Neumann trace. CoRR (2024)
Stefan Frei, Erik Burman, Edward R. Johnson
Attached and separated rotating flow over a finite height ridge. CoRR (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, Mingfei Lu, Lauri Oksanen
Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method. CoRR (2024)
Erik Burman, Janosch Preuß
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization. CoRR (2024)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu
A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems. CoRR (2024)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method. CoRR (2024)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. J. Num. Math. 31 (1) (2023)
Erik Burman, Deepika Garg, Janosch Preuß
Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation. CoRR (2023)
Erik Burman
Some Observations on the Interaction Between Linear and Nonlinear Stabilization for Continuous Finite Element Methods Applied to Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 45 (1) (2023)
Erik Burman, Janosch Preuß
Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements. CoRR (2023)
Erik Burman, Guillaume Delay, Alexandre Ern
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method. SIAM J. Numer. Anal. 61 (5) (2023)
Erik Burman, Lauri Oksanen
Finite element approximation of unique continuation of functions with finite dimensional trace. CoRR (2023)
Erik Burman, Mihai Nechita, Lauri Oksanen
Optimal finite element approximation of unique continuation. CoRR (2023)
Silvia Bertoluzza, Erik Burman
An abstract framework for heterogeneous coupling: stability, approximation and applications. CoRR (2023)
Silvia Bertoluzza, Erik Burman, Cuiyu He
Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs. CoRR (2023)
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)
Michal Bosy, Matthew W. Scroggs, Timo Betcke, Erik Burman, Christopher D. Cooper
Coupling finite and boundary element methods to solve the Poisson-Boltzmann equation for electrostatics in molecular solvation. J. Comput. Chem. 45 (11) (2023)
Erik Burman
A primal dual mixed finite element method for inverse identification of the diffusion coefficient and its relation to the Kohn-Vogelius penalty method. CoRR (2023)
Erik Burman, Deepika Garg, Johnny Guzmán
Implicit-Explicit Time Discretization for Oseen's Equation at High Reynolds Number with Application to Fractional Step Methods. SIAM J. Numer. Anal. 61 (6) (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, Riccardo Puppi
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. J. Num. Math. 30 (2) (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)
Timo Betcke, Erik Burman, Matthew W. Scroggs
Boundary Element Methods for Helmholtz Problems With Weakly Imposed Boundary Conditions. SIAM J. Sci. Comput. 44 (5) (2022)
Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres, Johnny Guzmán
Continuous Interior Penalty stabilization for divergence-free finite element methods. CoRR (2022)
Silvia Bertoluzza, Erik Burman, Cuiyu He
An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights. SIAM J. Numer. Anal. 60 (1) (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)
Erik Burman, Janosch Preuß
Unique continuation for the Lamé system using stabilized finite element methods. CoRR (2022)
Timo Betcke, Michal Bosy, Erik Burman
Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection. Numer. Algorithms 91 (3) (2022)
Erik Burman, Mihai Nechita, Lauri Oksanen
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime. Numerische Mathematik 150 (3) (2022)
Erik Burman, Stefan Frei, André Massing
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. Numerische Mathematik 150 (2) (2022)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. Numerische Mathematik 151 (4) (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, Miguel A. Fernández, Stefan Frei, Fannie M. Gerosa
A mechanically consistent model for fluid-structure interactions with contact including seepage. CoRR (2021)
Timo Betcke, Michal Bosy, Erik Burman
Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection. CoRR (2021)
Erik Burman, Peter Hansbo, Mats G. Larson
CutFEM Based on Extended Finite Element Spaces. CoRR (2021)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. CoRR (2021)
Erik Burman
Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps. CoRR (2021)
Erik Burman, Omar Durán, Alexandre Ern, Morgane Steins
Convergence Analysis of Hybrid High-Order Methods for the Wave Equation. J. Sci. Comput. 87 (3) (2021)
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. SIAM J. Numer. Anal. 59 (5) (2021)
Erik Burman, Matteo Cicuttin, Guillaume Delay, Alexandre Ern
An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems. SIAM J. Sci. Comput. 43 (2) (2021)
Erik Burman, Cuiyu He, Mats G. Larson
Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem. J. Sci. Comput. 88 (2) (2021)
Erik Burman, Riccardo Puppi
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. 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)
Erik Burman, Ali Feizmohammadi, Arnaud Münch, Lauri Oksanen
Spacetime finite element methods for control problems subject to the wave equation. CoRR (2021)
Erik Burman, Guillaume Delay, Alexandre Ern
A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation. SIAM J. Numer. Anal. 59 (5) (2021)
Erik Burman, Cuiyu He, Mats G. Larson
Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem. CoRR (2020)
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, Ali Feizmohammadi, Lauri Oksanen
A finite element data assimilation method for the wave equation. Math. Comput. 89 (324) (2020)
Erik Burman, Snorre Christiansen, Peter Hansbo
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. CoRR (2020)
Erik Burman, Mihai Nechita, Lauri Oksanen
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime. 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, Ali Feizmohammadi, Lauri Oksanen
A Fully Discrete Numerical Control Method for the Wave Equation. SIAM J. Control. Optim. 58 (3) (2020)
Erik Burman, J. J. J. Gillissen, Lauri Oksanen
Stability estimate for scalar image velocimetry. CoRR (2020)
Erik Burman, Mihai Nechita, Lauri Oksanen
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime. Numerische Mathematik 144 (3) (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, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. CoRR (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)
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation. CoRR (2020)
Erik Burman, Johnny Guzmán
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. CoRR (2020)
Erik Burman, Stefan Frei, Matthew W. Scroggs
Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method. SIAM J. Numer. Anal. 58 (4) (2020)
Silvia Bertoluzza, Erik Burman, Cuiyu He
An a posteriori error estimate of the outer normal derivative using dual weights. CoRR (2020)
Timo Betcke, Erik Burman, Matthew W. Scroggs
Boundary element methods for Helmholtz problems with weakly imposed boundary conditions. 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, Cuiyu He, Mats G. Larson
A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method. CoRR (2019)
Erik Burman, Stefan Frei, André Massing
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. CoRR (2019)
Erik Burman, Stefan Frei, Matthew W. Scroggs
Weak imposition of Signorini boundary conditions on the boundary element method. CoRR (2019)
Erik Burman, Rebecca Durst, Johnny Guzmán
Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem. CoRR (2019)
Erik Burman, Peter Hansbo, Mats G. Larson
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. ENUMATH (2019)
Erik Burman, Mats G. Larson, Peter Hansbo
Cut Bogner-Fox-Schmit Elements for Plates. CoRR (2019)
Erik Burman, Miguel A. Fernández, Stefan Frei, Fannie M. Gerosa
3D-2D Stokes-Darcy Coupling for the Modelling of Seepage with an Application to Fluid-Structure Interaction with Contact. ENUMATH (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, Cuiyu He
Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations. SIAM J. Numer. Anal. 57 (6) (2019)
Erik Burman, Guillaume Delay, Alexandre Ern
The Unfitted HHO Method for the Stokes Problem on Curved Domains. ENUMATH (2019)
Erik Burman, Peter Hansbo, Mats G. Larson
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. CoRR (2019)
Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán
-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow. CoRR (2019)
Erik Burman, Ali Feizmohammadi, Arnaud Münch, Lauri Oksanen
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. 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, Miguel A. Fernández, Stefan Frei, Fannie M. Gerosa
3D-2D Stokes-Darcy coupling for the modelling of seepage with an application to fluid-structure interaction with contact. CoRR (2019)
Timo Betcke, Erik Burman, Matthew W. Scroggs
Boundary Element Methods with Weakly Imposed Boundary Conditions. SIAM J. Sci. Comput. 41 (3) (2019)
Erik Burman, Lauri Oksanen
Data assimilation for the heat equation using stabilized finite element methods. Numerische Mathematik 139 (3) (2018)
Erik Burman, Mats G. Larson, Lauri Oksanen
Primal-Dual Mixed Finite Element Methods for the Elliptic Cauchy Problem. SIAM J. Numer. Anal. 56 (6) (2018)
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)
Thomas Boiveau, Erik Burman, Susanne Claus, Mats G. Larson
Fictitious domain method with boundary value correction using penalty-free Nitsche method. J. Num. Math. 26 (2) (2018)
Erik Burman, Peter Hansbo, Mats G. Larson
A cut finite element method with boundary value correction. Math. Comput. 87 (310) (2018)
Erik Burman, Alexandre Ern
An Unfitted Hybrid High-Order Method for Elliptic Interface Problems. SIAM J. Numer. Anal. 56 (3) (2018)
Erik Burman, Isaac P. Santos
Error estimates for transport problems with high Péclet number using a continuous dependence assumption. J. Comput. Appl. Math. 309 (2017)
Matthew W. Scroggs, Timo Betcke, Erik Burman, Wojciech Smigaj, Elwin van't Wout
Software frameworks for integral equations in electromagnetic scattering based on Calderón identities. Comput. Math. Appl. 74 (11) (2017)
Erik Burman
A stabilized nonconforming finite element method for the elliptic Cauchy problem. Math. Comput. 86 (303) (2017)
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)
Gabriel R. Barrenechea, Erik Burman, Fotini Karakatsani
Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes. Numerische Mathematik 135 (2) (2017)
Pierre Cantin, Jérôme Bonelle, Erik Burman, Alexandre Ern
A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. Comput. Math. Appl. 72 (9) (2016)
Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi
Cut finite element methods for coupled bulk-surface problems. Numerische Mathematik 133 (2) (2016)
Erik Burman, Friedhelm Schieweck
Local CIP Stabilization for Composite Finite Elements. SIAM J. Numer. Anal. 54 (3) (2016)
Erik Burman
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Appl. Math. Lett. 49 (2015)

Erik Burman.css-eqlu8i{font-size:small;padding-left:4px;}

Publication Activity (10 Years)

Top Topics

Top Venues

Erik Burman