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Publications by Erik Burman

Error Estimates for Forward Euler Shock Capturing Finite Element Approximations of the One-Dimensional Burgers' Equation

Mathematical Models and Methods in Applied Sciences
ModelingApplied MathematicsSimulation
2015English

Blending Low-Order Stabilised Finite Element Methods: A Positivity-Preserving Local Projection Method for the Convection–diffusion Equation

Computer Methods in Applied Mechanics and Engineering
Mechanics of MaterialsMechanical EngineeringComputer Science ApplicationsComputational MechanicsAstronomyPhysics
2017English

Explicit Runge–Kutta Schemes and Finite Elements With Symmetric Stabilization for First-Order Linear PDE Systems

SIAM Journal on Numerical Analysis
Computational MathematicsApplied MathematicsNumerical Analysis
2010English

A Nonlinear Consistent Penalty Method Weakly Enforcing Positivity in the Finite Element Approximation of the Transport Equation

Computer Methods in Applied Mechanics and Engineering
Mechanics of MaterialsMechanical EngineeringComputer Science ApplicationsComputational MechanicsAstronomyPhysics
2017English

Stabilized CutFEM for the Convection Problem on Surfaces

Numerische Mathematik
Computational MathematicsApplied Mathematics
2018English

Finite Element Approximation of the Laplace–Beltrami Operator on a Surface With Boundary

Numerische Mathematik
Computational MathematicsApplied Mathematics
2018English

A Hierarchical NXFEM for Fictitious Domain Simulations

International Journal for Numerical Methods in Engineering
Applied MathematicsNumerical AnalysisEngineering
2010English

A Simple Finite Element Method for Elliptic Bulk Problems With Embedded Surfaces

Computational Geosciences
Computational TheoryComputer Science ApplicationsComputers in Earth SciencesComputational MathematicsMathematics
2018English

Finite Element Methods With Symmetric Stabilization for the Transient Convection–diffusion–reaction Equation

Computer Methods in Applied Mechanics and Engineering
Mechanics of MaterialsMechanical EngineeringComputer Science ApplicationsComputational MechanicsAstronomyPhysics
2009English

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

SIAM Journal on Numerical Analysis
Computational MathematicsApplied MathematicsNumerical Analysis
2005English

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