Erik Burman
Orcid: 0000-0003-4287-7241
According to our database1,
Erik Burman
authored at least 100 papers
between 2005 and 2024.
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Bibliography
2024
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach.
SIAM J. Numer. Anal., 2024
A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems.
CoRR, 2024
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method.
CoRR, 2024
Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method.
CoRR, 2024
2023
Implicit-Explicit Time Discretization for Oseen's Equation at High Reynolds Number with Application to Fractional Step Methods.
SIAM J. Numer. Anal., December, 2023
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method.
SIAM J. Numer. Anal., October, 2023
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions.
Math. Comput., August, 2023
Coupling finite and boundary element methods to solve the Poisson-Boltzmann equation for electrostatics in molecular solvation.
J. Comput. Chem., April, 2023
Some Observations on the Interaction Between Linear and Nonlinear Stabilization for Continuous Finite Element Methods Applied to Hyperbolic Conservation Laws.
SIAM J. Sci. Comput., February, 2023
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems.
J. Num. Math., 2023
An abstract framework for heterogeneous coupling: stability, approximation and applications.
CoRR, 2023
Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements.
CoRR, 2023
Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs.
CoRR, 2023
Finite element approximation of unique continuation of functions with finite dimensional trace.
CoRR, 2023
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
Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation.
CoRR, 2023
2022
SIAM J. Sci. Comput., 2022
Boundary Element Methods for Helmholtz Problems With Weakly Imposed Boundary Conditions.
SIAM J. Sci. Comput., 2022
SIAM J. Numer. Anal., 2022
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime.
Numerische Mathematik, 2022
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains.
Numerische Mathematik, 2022
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis.
Numerische Mathematik, 2022
Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection.
Numer. Algorithms, 2022
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow.
J. Num. Math., 2022
CoRR, 2022
Cut finite element method for divergence free approximation of incompressible flow: optimal error estimates and pressure independence.
CoRR, 2022
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics.
CoRR, 2022
Continuous Interior Penalty stabilization for divergence-free finite element methods.
CoRR, 2022
On the Design of Locking Free Ghost Penalty Stabilization and the Relation to CutFEM with Discrete Extension.
CoRR, 2022
2021
An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems.
SIAM J. Sci. Comput., 2021
A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation.
SIAM J. Numer. Anal., 2021
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation.
SIAM J. Numer. Anal., 2021
Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem.
J. Sci. Comput., 2021
J. Sci. Comput., 2021
CoRR, 2021
Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps.
CoRR, 2021
A mechanically consistent model for fluid-structure interactions with contact including seepage.
CoRR, 2021
Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization.
CoRR, 2021
2020
SIAM J. Numer. Anal., 2020
SIAM J. Control. Optim., 2020
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime.
Numerische Mathematik, 2020
Numerische Mathematik, 2020
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty.
CoRR, 2020
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics.
CoRR, 2020
2019
SIAM J. Sci. Comput., 2019
Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations.
SIAM J. Numer. Anal., 2019
Numerische Mathematik, 2019
Finite element approximation of the Laplace-Beltrami operator on a surface with boundary.
Numerische Mathematik, 2019
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation.
CoRR, 2019
Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem.
CoRR, 2019
L<sup>2</sup>-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow.
CoRR, 2019
A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method.
CoRR, 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
3D-2D Stokes-Darcy Coupling for the Modelling of Seepage with an Application to Fluid-Structure Interaction with Contact.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
2018
SIAM J. Numer. Anal., 2018
SIAM J. Numer. Anal., 2018
Numerische Mathematik, 2018
Stabilized nonconforming finite element methods for data assimilation in incompressible flows.
Math. Comput., 2018
Fictitious domain method with boundary value correction using penalty-free Nitsche method.
J. Num. Math., 2018
A Stabilized Cut Streamline Diffusion Finite Element Method for Convection-Diffusion Problems on Surfaces.
CoRR, 2018
2017
The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem.
SIAM J. Numer. Anal., 2017
Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes.
Numerische Mathematik, 2017
Math. Comput., 2017
Error estimates for transport problems with high Péclet number using a continuous dependence assumption.
J. Comput. Appl. Math., 2017
Software frameworks for integral equations in electromagnetic scattering based on Calderón identities.
Comput. Math. Appl., 2017
2016
Numerische Mathematik, 2016
A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization.
Comput. Math. Appl., 2016
2015
SIAM J. Sci. Comput., 2015
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation.
Appl. Math. Lett., 2015
2014
Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part II: Hyperbolic Equations.
SIAM J. Sci. Comput., 2014
2013
Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations.
SIAM J. Sci. Comput., 2013
2012
A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions.
SIAM J. Numer. Anal., 2012
2011
Duality Based A Posteriori Error Estimation for Quasi-Periodic Solutions Using Time Averages.
SIAM J. Sci. Comput., 2011
2010
Explicit Runge-Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems.
SIAM J. Numer. Anal., 2010
Numerische Mathematik, 2010
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations.
J. Sci. Comput., 2010
2009
A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation.
SIAM J. Numer. Anal., 2009
2008
SIAM J. Sci. Comput., 2008
SIAM J. Numer. Anal., 2008
Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis.
SIAM J. Numer. Anal., 2008
2007
Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence.
Numerische Mathematik, 2007
Continuous interior penalty <i>hp</i>-finite element methods for advection and advection-diffusion equations.
Math. Comput., 2007
Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems.
J. Sci. Comput., 2007
2006
A Domain Decomposition Method Based on Weighted Interior Penalties for Advection-Diffusion-Reaction Problems.
SIAM J. Numer. Anal., 2006
SIAM J. Numer. Anal., 2006
Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method.
SIAM J. Numer. Anal., 2006
2005
A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty.
SIAM J. Numer. Anal., 2005
Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence.
Math. Comput., 2005