Erik Burman

Computational Mechanics · 2002–2017

A researcher in the Science corpus: 19 papers; trusts 23 researchers and is trusted by 44 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 74 citations into it; #533 of 10,001 by trust here, #792 by citations
• Computational Theory and Mathematics — 38 citations into it; #960 of 12,182 by trust here, #1,269 by citations
• Mechanics of Materials — 34 citations into it; #659 of 6,291 by trust here, #2,124 by citations
• Electrical and Electronic Engineering — 10 citations into it; #3,610 of 16,539 by trust here, #10,998 by citations
• Numerical Analysis — 10 citations into it; #2,515 of 3,586 by trust here, #2,242 by citations
• Statistical and Nonlinear Physics — 6 citations into it

Whom Erik Burman trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Peter Hansbo
2. Roland Becker
3. Anita Hansbo
4. Fabio Nobile
5. M. Fernández
6. Susanne C. Brenner
7. Clark R. Dohrmann
8. Maksymilian Dryja
9. Eric Béchet
10. Luca Formaggia

Who trusts Erik Burman overall

1. Volker John
2. Dominik Schillinger
3. Yuri Bazilevs
4. Petr Knobloch
5. Fushen Liu
6. Carlo D'Angelo
7. William J. Layton
8. Alexander Linke
9. Marco Discacciati
10. Gang Chen

Papers from Erik Burman's perspective

Ordered by how strongly the researchers Erik Burman trusts endorse each paper. Same corpus, a different order for every researcher.

1. An unfitted finite element method, based on Nitsche's method, for elliptic interface problems
2. A stabilized finite element method for the Stokes problem based on polynomial pressure projections
3. A finite element method for domain decomposition with non-matching grids
4. A discontinuous‐Galerkin‐based immersed boundary method
5. Fluid structure interaction with large structural displacements
6. A Newton method using exact jacobians for solving fluid-structure coupling
7. Numerical approximation of fluid-structure interaction problems with application to haemodynamics
8. Added-mass effect in the design of partitioned algorithms for fluid-structure problems
9. A finite element pressure gradient stabilization¶for the Stokes equations based on local projections
10. The finite cell method for three-dimensional problems of solid mechanics

Their papers

• Edge stabilization for Galerkin approximations of convection?diffusion?reaction problems (2004) — 362 citations
• Stabilized finite element methods for the generalized Oseen problem (2007) — 207 citations
• Fictitious domain finite element methods using cut elements (2012) — 516 citations
• A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity (2009) — 206 citations
• Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility (2009) — 234 citations
• Finite element methods with symmetric stabilization for the transient convection―diffusion-reaction equation (2009) — 53 citations
• Pressure projection stabilizations for Galerkin approximations of Stokes' and Darcy's problem (2008) — 65 citations
• Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems (2010) — 54 citations
• Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation (2002) — 104 citations
• Quantitative benchmark computations of two‐dimensional bubble dynamics (2009) — 608 citations
• Stabilized finite element schemes for incompressible flow using Scott--Vogelius elements (2008) — 51 citations
• A Cut Finite Element Method with Boundary Value Correction for the Incompressible Stokes Equations (2017) — 51 citations
• Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems (2016) — 47 citations
• CutFEM: Discretizing geometry and partial differential equations (2015) — 808 citations
• Consistent SUPG-method for transient transport problems: Stability and convergence (2010) — 149 citations
• Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian (2008) — 49 citations
• A unified stabilized method for Stokes' and Darcy's equations (2007) — 216 citations
• Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem (2005) — 117 citations
• Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes (2004) — 108 citations