Erik Burman

1. A penalty free non-symmetric Nitsche type method for the weak imposition\n of boundary conditions
   2011/06/28 by Erik Burman, Burman, Erik · 5 citations
   Computer Science · Engineering · Mathematics · #65N12 #65N15 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
2. CutFEM Based on Extended Finite Element Spaces
   2021/01/25 by Erik Burman, Burman, Erik, Peter Hansbo +3 · 5 citations
   Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
3. The augmented Lagrangian method as a framework for stabilised methods in computational mechanics
   2022/07/01 by Erik Burman, Peter Hansbo, Burman, Erik +3 · 3 citations
   Computer Science · Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
4. Edge-based nonlinear diffusion for finite element approximations of\n convection-diffusion equations and its relation to algebraic flux-correction\n schemes
   2015/09/29 by Gabriel R. Barrenechea, Barrenechea, Gabriel R., Erik Burman +3 · 2 citations
   Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
5. A penalty free Nitsche type method for the weak imposition of boundary conditions in compressible and incompressible elasticity
   2014/07/08 by Thomas Boiveau, Erik Burman, Boiveau, Thomas +1 · 2 citations
   Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
6. A Cut Discontinuous Galerkin Method for the Laplace-Beltrami Operator
   2015/07/21 by Erik Burman, Burman, Erik, Peter Hansbo +5 · 1 citation
   Computer Science · Engineering · #65N12 #65N15 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
7. Stabilized CutFEM for the Convection Problem on Surfaces
   2015/11/07 by Erik Burman, Burman, Erik, Peter Hansbo +5 · 1 citation
   Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Electromagnetic Simulation and Numerical Methods
8. Cut Finite Element Methods for Partial Differential Equations on\n Embedded Manifolds of Arbitrary Codimensions
   2016/10/05 by Erik Burman, Peter Hansbo, Burman, Erik +5 · 1 citation
   Engineering · Mathematics · Computer Science · #Numerical methods in engineering #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering
9. Fully discrete finite element data assimilation method for the heat\n equation
   2017/07/21 by Erik Burman, Burman, Erik, Jonathan Ish-Horowicz +3 · 1 citation
   Mathematics · Engineering · Computer Science · #Numerical methods in inverse problems #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering
10. A cut finite element method with boundary value correction for the\n incompressible Stokes' equations
    2018/01/23 by Erik Burman, Peter Hansbo, Burman, Erik +3 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
11. A Stable Cut Finite Element Method for Partial Differential Equations on\n Surfaces: The Helmholtz-Beltrami Operator
    2018/10/09 by Erik Burman, Peter Hansbo, Burman, Erik +5 · 1 citation
    Engineering · Computer Science · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems
12. Low Regularity Estimates for CutFEM Approximations of an Elliptic Problem with Mixed Boundary Conditions
    2020/07/06 by Erik Burman, Burman, Erik, Peter Hansbo +3 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
13. Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension
    2020/11/10 by Erik Burman, Peter Hansbo, Burman, Erik +3 · 1 citation
    Engineering · Mathematics · #65M12 #65M15 #65M60 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
14. Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow
    2021/04/03 by Erik Burman, Burman, Erik, Riccardo Puppi +1 · 1 citation
    Engineering · #Advanced Numerical Methods in Computational Mathematics #Fluid Dynamics and Turbulent Flows #Computational Fluid Dynamics and Aerodynamics
15. A Stabilized Cut Finite Element Method for the Three Field Stokes\n Problem
    2014/08/21 by Erik Burman, Susanne Claus, Burman, Erik +3 · 1 citation
    Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #Numerical methods in engineering
16. Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps
    2021/04/14 by Erik Burman, Burman, Erik · 1 citation
    Engineering · Mathematics · #65M12 #65M15 #65M20 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems
17. Unique continuation for the wave equation based on a discontinuous Galerkin time discretization
    2024/05/07 by Erik Burman, Janosch Preuß, Burman, Erik +1 · 3 citations
    Mathematics · Engineering · Physics and Astronomy · #Numerical methods in inverse problems #Stability and Controllability of Differential Equations #Model Reduction and Neural Networks