World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
10198
World Ranking
1341
National Ranking
98

Engineering and Technology

D-Index
46
Citations
10299
World Ranking
5075
National Ranking
336

Overview

Erik Burman is affiliated with University College London in the United Kingdom. Their research primarily covers the fields of Engineering and Mathematics, with a significant focus on subfields such as Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials, Numerical Analysis, and Mathematical Physics.

The scientist's work concentrates on several main topics, including Advanced Numerical Methods in Computational Mathematics, Numerical methods in engineering, Advanced Mathematical Modeling in Engineering, Computational Fluid Dynamics and Aerodynamics, Numerical methods in inverse problems, Numerical methods for differential equations, and Electromagnetic Simulation and Numerical Methods.

Frequent co-authors collaborating with Burman include Mats G. Larson, Peter Hansbo, Johnny Guzmán, Lauri Oksanen, and Janosch Preuß.

Several key publication venues regularly feature their work:

  • arXiv (Cornell University)
  • Computer Methods in Applied Mechanics and Engineering
  • Numerische Mathematik
  • SIAM Journal on Numerical Analysis
  • SIAM Journal on Scientific Computing

Recent papers authored by Burman provide insights into the scope of their research:

  • "An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems", 2021, SIAM Journal on Scientific Computing
  • "The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics", 2023, Archives of Computational Methods in Engineering
  • "Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains", 2022, Numerische Mathematik
  • "Convergence Analysis of Hybrid High-Order Methods for the Wave Equation", 2021, Journal of Scientific Computing
  • "CutFEM based on extended finite element spaces", 2022, Numerische Mathematik

The list reflects a focus on numerical methods applied to partial differential equations and computational mechanics. The research includes both theoretical developments and practical computational techniques in engineering and applied mathematics contexts.

Best Publications

  • CutFEM: Discretizing geometry and partial differential equations

    Erik Burman;Susanne Claus;Peter Hansbo;Mats G. Larson

  • Quantitative benchmark computations of two-dimensional bubble dynamics

    S Hysing;S Turek;D Kuzmin;N Parolini

  • Fictitious domain finite element methods using cut elements

    Erik Burman;Peter Hansbo

  • Edge stabilization for Galerkin approximations of convection?diffusion?reaction problems

    Erik Burman;Peter F G Hansbo

  • Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method

    M. Braack;E. Burman

  • Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method

    Erik Burman;Peter F G Hansbo

  • Stabilized finite element methods for the generalized Oseen problem

    M. Braack;E. Burman;V. John;G. Lube

  • A unified stabilized method for Stokes' and Darcy's equations

    Erik Burman;Peter Hansbo

  • Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility

    Erik Burman;Miguel Angel Fernández

  • Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations

    Erik Burman;Alexandre Ern

  • Continuous Interior Penalty Finite Element Method for Oseen's Equations

    Erik Burman;Miguel A. Fernández;Peter Hansbo

  • A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity

    Roland Becker;Erik Burman;Peter F G Hansbo

  • Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem

    Erik Burman;Peter Hansbo

  • A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty

    Erik Burman

  • Edge stabilization for the generalized Stokes problem: A continuous interior penalty method

    Erik Burman;Peter F G Hansbo

  • Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence

    Erik Burman;Alexandre Ern

  • Continuous interior penalty finite element method for the time-dependent Navier–Stokes equations: space discretization and convergence

    Erik Burman;Miguel A. Fernández

  • Consistent SUPG-method for transient transport problems: Stability and convergence

    Erik Burman

  • An unfitted Nitsche method for incompressible fluid–structure interaction using overlapping meshes

    Erik Burman;Miguel Angel Fernández

  • Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation

    Erik Burman;Alexandre Ern

Frequent Co-Authors

Peter Hansbo
Peter Hansbo Jönköping University
Alexandre Ern
Alexandre Ern École des Ponts ParisTech
Mats G. Larson
Mats G. Larson Umeå University
Johnny Guzmán
Johnny Guzmán Brown University
Jacques Rappaz
Jacques Rappaz École Polytechnique Fédérale de Lausanne
Alfio Quarteroni
Alfio Quarteroni Polytechnic University of Milan
Ilia Rodushkin
Ilia Rodushkin Luleå University of Technology
Stefan Turek
Stefan Turek TU Dortmund University
Lutz Tobiska
Lutz Tobiska Otto-von-Guericke University Magdeburg
Rolf Stenberg
Rolf Stenberg Aalto University

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