## Burman, Erik

Compute Distance To:
 Author ID: burman.erik Published as: Burman, Erik; Burman, E.; Burman, Eric more...less Homepage: https://iris.ucl.ac.uk/iris/browse/profile?upi=ENBUR31 External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · IdRef
 Documents Indexed: 166 Publications since 1995 1 Contribution as Editor Co-Authors: 77 Co-Authors with 144 Joint Publications 1,775 Co-Co-Authors
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### Co-Authors

 23 single-authored 45 Hansbo, Peter 33 Larson, Mats G. 27 Ern, Alexandre 15 Fernández, Miguel Ángel 10 Stamm, Benjamin 9 Massing, André 9 Oksanen, Lauri 6 Larsson, Karl 5 Frei, Stefan 5 Guzmán, Johnny 4 Barrenechea, Gabriel R. 4 Claus, Susanne 4 Delay, Guillaume 4 Elfverson, Daniel 4 He, Cuiyu 4 Zahedi, Sara 3 Becker, Roland 3 Boiveau, Thomas 3 Braack, Malte 3 Durán, Omar 3 Feizmohammadi, Ali 3 Nechita, Mihai 3 Picasso, Marco 3 Rappaz, Jacques 3 Scroggs, Matthew W. 2 Betcke, Timo 2 Bonito, Andrea 2 El Alaoui, Linda 2 Gerosa, Fannie M. 2 Giovangigli, Vincent 2 Karakatsani, Fotini 2 Linke, Alexander 2 Parolini, Nicola 2 Quarteroni, Alfio M. 2 Zunino, Paolo 1 Ahmed, Naveed 1 Bertoluzza, Silvia 1 Bonelle, Jérôme 1 Bordas, Stéphane Pierre Alain 1 Boulakia, Muriel 1 Cantin, Pierre 1 Cassinelli, Andrea 1 Christiansen, Snorre Harald 1 Cicuttin, Matteo 1 da Silva, Andre F. C. 1 Ganesan, Sashikumaar 1 Hysing, Shuren 1 Jacot, Arthur 1 John, Volker 1 Kessler, Daniel P. 1 Kuzmin, Dmitri 1 Leykekhman, Dmitriy 1 Lube, Gert 1 Merdon, Christian 1 Moura, Rodrigo Costa 1 Mozolevsky, Igor E. 1 Münch, Arnaud 1 Olshanskii, Maxim A. 1 Puppi, Riccardo 1 Sainsaulieu, Lionel 1 Samvin, David 1 Sánchez, Manuel A. 1 Santos, Isaac P. 1 Sarkis, Marcus V. 1 Schieweck, Friedhelm 1 Sherwin, Spencer J. 1 Smigaj, Wojciech 1 Smith, Giles 1 Steins, Morgane 1 Stenberg, Rolf 1 Taschenberger, Nico 1 Tobiska, Lutz 1 Turek, Stefan 1 van ’t Wout, Elwin 1 Voisembert, Colette 1 Wu, Haijun 1 Zhu, Lingxue
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### Serials

 30 Computer Methods in Applied Mechanics and Engineering 18 SIAM Journal on Numerical Analysis 11 Numerische Mathematik 9 SIAM Journal on Scientific Computing 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 IMA Journal of Numerical Analysis 6 Mathematics of Computation 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Numerical Methods for Partial Differential Equations 4 Journal of Scientific Computing 3 International Journal for Numerical Methods in Engineering 2 Computers & Mathematics with Applications 2 Inverse Problems 2 Journal of Computational Physics 2 BIT 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Journal of Numerical Mathematics 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Mathematical Methods in the Applied Sciences 1 Calcolo 1 SIAM Journal on Control and Optimization 1 Applied Mathematics Letters 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales Mathématiques Blaise Pascal 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Computational Geosciences 1 Combustion Theory and Modelling 1 Communications in Mathematical Sciences 1 Lecture Notes in Computational Science and Engineering 1 Communications in Computational Physics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 GEM - International Journal on Geomathematics 1 Communications on Applied Mathematics and Computation
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### Fields

 146 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 59 Fluid mechanics (76-XX) 24 Mechanics of deformable solids (74-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

147 Publications have been cited 2,980 times in 1,568 Documents Cited by Year
CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604
Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André
2015
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
2012
Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L.
2009
Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems. Zbl 1085.76033
Burman, Erik; Hansbo, Peter
2004
Ghost penalty. Zbl 1204.65142
Burman, Erik
2010
Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method. Zbl 1109.35086
Braack, M.; Burman, E.
2006
Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method. Zbl 1231.65207
Burman, Erik; Hansbo, Peter
2010
Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322
Braack, M.; Burman, E.; John, V.; Lube, G.
2007
A unified stabilized method for Stokes’ and Darcy’s equations. Zbl 1101.76032
Burman, Erik; Hansbo, Peter
2007
Continuous interior penalty finite element method for Oseen’s equations. Zbl 1344.76049
Burman, Erik; Fernández, Miguel A.; Hansbo, Peter
2006
Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Zbl 1229.76045
Burman, Erik; Fernández, Miguel A.
2009
Continuous interior penalty $$hp$$-finite element methods for advection and advection-diffusion equations. Zbl 1118.65118
Burman, Erik; Ern, Alexandre
2007
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity. Zbl 1230.74169
Becker, Roland; Burman, Erik; Hansbo, Peter
2009
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
2014
Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence. Zbl 1078.65088
Burman, Erik; Ern, Alexandre
2005
A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty. Zbl 1111.65102
Burman, Erik
2005
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037
Burman, Erik; Hansbo, Peter
2005
Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes. Zbl 1049.65128
Burman, Erik; Ern, Alexandre
2004
Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation. Zbl 1101.76354
Burman, Erik; Ern, Alexandre
2002
Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence. Zbl 1117.76032
Burman, Erik; Fernández, Miguel A.
2007
An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Zbl 1423.74867
Burman, Erik; Fernández, Miguel A.
2014
A domain decomposition method based on weighted interior penalties for advection-diffusion-reaction problems. Zbl 1125.65113
Burman, Erik; Zunino, Paolo
2006
Edge stabilization for the generalized Stokes problem: a continuous interior penalty method. Zbl 1125.76038
Burman, Erik; Hansbo, Peter
2006
A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. Zbl 1262.65165
Burman, Erik
2012
Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems. Zbl 1226.65086
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
2010
Consistent SUPG-method for transient transport problems: stability and convergence. Zbl 1227.76047
Burman, Erik
2010
Pressure projection stabilizations for Galerkin approximations of Stokes’ and Darcy’s problem. Zbl 1139.76029
Burman, Erik
2008
Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems. Zbl 1201.65204
Burman, Erik; Hansbo, Peter
2010
Cut finite element methods for coupled bulk-surface problems. Zbl 1341.65044
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
2016
A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator. Zbl 1425.65152
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2015
Linear continuous interior penalty finite element method for Helmholtz equation with high wave number: One-dimensional analysis. Zbl 1364.65149
Burman, Erik; Wu, Haijun; Zhu, Lingxue
2016
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. Zbl 1286.65152
Burman, Erik
2013
Error estimates for stabilized finite element methods applied to ill-posed problems. (Estimations d’erreurs pour des méthodes d’éléments finis stabilisées appliquées à des problèmes mal posés.) Zbl 1297.65148
Burman, Erik
2014
Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements. Zbl 1148.76031
Burman, E.; Linke, A.
2008
Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation. Zbl 1228.76081
Burman, Erik; Fernández, Miguel A.
2009
An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201
Burman, Erik; Ern, Alexandre
2018
Stabilized explicit coupling for fluid-structure interaction using Nitsche’s method. Zbl 1126.74047
Burman, Erik; Fernández, Miguel A.
2007
Galerkin finite element methods with symmetric pressure stabilization for the transient Stokes equations: stability and convergence analysis. Zbl 1391.76308
Burman, Erik; Fernández, Miguel A.
2009
Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems. Zbl 1412.65204
Burman, Erik; Guzmán, Johnny; Sánchez, Manuel A.; Sarkis, Marcus
2018
Numerical approximation of large contrast problems with the unfitted Nitsche method. Zbl 1248.65121
Burman, Erik; Zunino, Paolo
2012
Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation. Zbl 1173.76332
Burman, Erik
2007
Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. Zbl 1352.74104
Burman, Erik; Fernández, Miguel A.
2014
A stabilized non-conforming finite element method for incompressible flow. Zbl 1115.76042
Burman, Erik; Hansbo, Peter
2006
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. II: Hyperbolic equations. Zbl 1457.65182
Burman, Erik
2014
Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes. Zbl 1395.65137
Barrenechea, Gabriel R.; Burman, Erik; Karakatsani, Fotini
2017
A cut finite element method with boundary value correction. Zbl 1380.65362
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2018
Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions. Zbl 1417.65199
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
2018
Low order discontinuous Galerkin methods for second order elliptic problems. Zbl 1190.65170
Burman, E.; Stamm, B.
2009
Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian. Zbl 1152.65073
Burman, Erik; Ern, Alexandre
2008
On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws. Zbl 1133.65075
Burman, Erik
2007
A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection-diffusion equations. Zbl 1112.65109
El Alaoui, L.; Ern, A.; Burman, E.
2007
A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity. Zbl 1433.74101
Boiveau, Thomas; Burman, Erik
2016
A stabilized nonconforming finite element method for the elliptic Cauchy problem. Zbl 1351.65074
Burman, Erik
2017
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
2017
Deriving robust unfitted finite element methods from augmented Lagrangian formulations. Zbl 1448.65217
Burman, Erik; Hansbo, Peter
2017
A cut discontinuous Galerkin method for the Laplace-Beltrami operator. Zbl 1433.65281
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
2017
A finite element level set method for viscous free-surface flows. Zbl 1229.76057
Parolini, N.; Burman, E.
2005
A hierarchical NXFEM for fictitious domain simulations. Zbl 1216.74018
Becker, Roland; Burman, Erik; Hansbo, Peter
2011
A stabilized cut finite element method for the three field Stokes problem. Zbl 1326.76057
Burman, Erik; Claus, Susanne; Massing, André
2015
Software frameworks for integral equations in electromagnetic scattering based on Calderón identities. Zbl 1397.65309
Scroggs, Matthew W.; Betcke, Timo; Burman, Erik; Śmigaj, Wojciech; van ’t Wout, Elwin
2017
Shape optimization using the cut finite element method. Zbl 1439.74316
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2018
Analysis of the space semi-discretized SUPG method for transient convection-diffusion equations. Zbl 1241.65098
Burman, Erik; Smith, Giles
2011
Weighted error estimates of the continuous interior penalty method for singularly perturbed problems. Zbl 1166.65054
Burman, Erik; Guzmán, Johnny; Leykekhman, Dmitriy
2009
Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem. Zbl 1398.76097
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
2017
Data assimilation for the heat equation using stabilized finite element methods. Zbl 1412.65111
Burman, Erik; Oksanen, Lauri
2018
Cut finite elements for convection in fractured domains. Zbl 1411.76055
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2019
A continuous interior penalty method for viscoelastic flows. Zbl 1162.76026
Bonito, Andrea; Burman, Erik
2008
Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations. Zbl 1203.65247
Burman, Erik; Quarteroni, Alfio; Stamm, Benjamin
2010
Anisotropic, adaptive finite elements for the computation of a solutal dendrite. Zbl 1039.76030
Burman, E.; Picasso, M.
2003
Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization. Zbl 1404.65253
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2018
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
2020
Stabilised finite element methods for ill-posed problems with conditional stability. Zbl 1357.65254
Burman, Erik
2016
A posteriori error estimation for interior penalty finite element approximations of the advection-reaction equation. Zbl 1205.65249
Burman, Erik
2009
Crank–Nicolson finite element methods using symmetric stabilization with an application to optimal control problems subject to transient advection–diffusion equations. Zbl 1279.49019
Burman, Erik
2011
Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. Zbl 1288.65153
Burman, Erik
2014
Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model. Zbl 1086.80007
Burman, E.; Jacot, A.; Picasso, M.
2004
Local discontinuous Galerkin method with reduced stabilization for diffusion equations. Zbl 1364.65240
Burman, E.; Stamm, B.
2009
The penalty-free Nitsche method and nonconforming finite elements for the Signorini problem. Zbl 1457.65183
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2017
Unique continuation for the Helmholtz equation using stabilized finite element methods. Zbl 1429.35053
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
2019
Duality based a posteriori error estimation for quasi-periodic solutions using time averages. Zbl 1298.65146
Braack, M.; Burman, E.; Taschenberger, N.
2011
Bubble stabilized discontinuous Galerkin method for Stokes’ problem. Zbl 1191.65149
Burman, Erik; Stamm, Benjamin
2010
Bunsen flame simulation by finite elements on adaptively refined, unstructured triangulations. Zbl 1068.80536
Burman, Erik; Ern, Alexandre; Giovangigli, Vincent
2004
The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders $$p \geqslant 2$$. Zbl 1128.65061
Burman, Erik; Ern, Alexandre; Mozolevski, Igor; Stamm, Benjamin
2007
Primal-dual mixed finite element methods for the elliptic Cauchy problem. Zbl 1408.65085
Burman, Erik; Larson, Mats G.; Oksanen, Lauri
2018
Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. Zbl 1407.65180
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl; Massing, André
2019
An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. Zbl 1475.65186
Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre
2021
Analysis of the PSPG method for the transient Stokes problem. Zbl 1230.76022
Burman, Erik; Fernández, Miguel A.
2011
Adaptive finite element methods for compressible two-phase flow. Zbl 1018.76024
Burman, E.
2000
Adaptive finite element methods for compressible flow. Zbl 0973.76040
Burman, Erik
2000
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123
Burman, Erik; Ern, Alexandre
2012
Existence of solutions to an anisotropic phase-field model. Zbl 1032.35053
Burman, Erik; Rappaz, Jacques
2003
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
2018
Robust error estimates for stabilized finite element approximations of the two dimensional Navier-Stokes’ equations at high Reynolds number. Zbl 1423.76214
Burman, Erik
2015
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Zbl 1382.65306
Burman, Erik
2015
Continuous interior penalty $$hp$$-finite element methods for transport operators. Zbl 1119.65406
Burman, Erik; Ern, Alexandre
2006
A continuous finite element method with face penalty to approximate Friedrichs’ systems. Zbl 1129.65083
Burman, Erik; Ern, Alexandre
2007
Minimal stabilization for discontinuous Galerkin finite element methods for hyperbolic problems. Zbl 1132.65084
Burman, E.; Stamm, B.
2007
Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment. Zbl 1133.65096
Burman, Erik; Stamm, Benjamin
2008
Stabilized CutFEM for the convection problem on surfaces. Zbl 1407.65283
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
2019
Numerical analysis of two operator splitting methods for an hyperbolic system of conservation laws with stiff relaxation terms. Zbl 0867.76055
Burman, Erik; Sainsaulieu, Lionel
1995
A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500
Burman, Erik; He, Cuiyu; Larson, Mats G.
2022
Gradient jump penalty stabilisation of spectral/$$h p$$ element discretisation for under-resolved turbulence simulations. Zbl 07442773
Moura, Rodrigo C.; Cassinelli, Andrea; da Silva, André F. C.; Burman, Erik; Sherwin, Spencer J.
2022
An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. Zbl 1475.65186
Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre
2021
Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248
Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane
2021
A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. Zbl 1477.65185
Ahmed, Naveed; Barrenechea, Gabriel R.; Burman, Erik; Guzmán, Johnny; Linke, Alexander; Merdon, Christian
2021
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. Zbl 07395696
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri
2021
3D-2D Stokes-Darcy coupling for the modelling of seepage with an application to fluid-structure interaction with contact. Zbl 1470.76029
Burman, Erik; Fernández, Miguel A.; Frei, Stefan; Gerosa, Fannie M.
2021
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
2020
Dirichlet boundary value correction using Lagrange multipliers. Zbl 1431.65213
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2020
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: Diffusion-dominated regime. Zbl 1437.65171
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
2020
A stabilized cut streamline diffusion finite element method for convection-diffusion problems on surfaces. Zbl 1441.76055
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André; Zahedi, Sara
2020
A fully discrete numerical control method for the wave equation. Zbl 1444.35110
Burman, Erik; Feizmohammadi, Ali; Oksanen, Lauri
2020
Well-posedness and $$H(\mathrm{div})$$-conforming finite element approximation of a linearised model for inviscid incompressible flow. Zbl 1444.65065
Barrenechea, Gabriel; Burman, Erik; Guzmán, Johnny
2020
A finite element data assimilation method for the wave equation. Zbl 1436.65132
Burman, Erik; Feizmohammadi, Ali; Oksanen, Lauri
2020
A cut finite element method for a model of pressure in fractured media. Zbl 1473.65289
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2020
A stable cut finite element method for partial differential equations on surfaces: the Helmholtz-Beltrami operator. Zbl 1439.65151
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
2020
Data assimilation finite element method for the linearized Navier-Stokes equations in the low Reynolds regime. Zbl 1445.35323
Boulakia, Muriel; Burman, Erik; Fernández, Miguel A.; Voisembert, Colette
2020
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. Zbl 07413174
Burman, Erik; Christiansen, Snorre H.; Hansbo, Peter
2020
Cut finite elements for convection in fractured domains. Zbl 1411.76055
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2019
Unique continuation for the Helmholtz equation using stabilized finite element methods. Zbl 1429.35053
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
2019
Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. Zbl 1407.65180
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl; Massing, André
2019
Stabilized CutFEM for the convection problem on surfaces. Zbl 1407.65283
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
2019
Augmented Lagrangian finite element methods for contact problems. Zbl 1422.65374
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2019
Hybridized CutFEM for elliptic interface problems. Zbl 1435.65193
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2019
A cut finite element method for elliptic bulk problems with embedded surfaces. Zbl 1419.76434
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Samvin, David
2019
A simple finite element method for elliptic bulk problems with embedded surfaces. Zbl 1411.65151
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2019
Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions. Zbl 1441.74152
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2019
Boundary element methods with weakly imposed boundary conditions. Zbl 1416.65485
Betcke, Timo; Burman, Erik; Scroggs, Matthew W.
2019
Primal dual mixed finite element methods for indefinite advection-diffusion equations. Zbl 1434.65239
Burman, Erik; He, Cuiyu
2019
An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201
Burman, Erik; Ern, Alexandre
2018
Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems. Zbl 1412.65204
Burman, Erik; Guzmán, Johnny; Sánchez, Manuel A.; Sarkis, Marcus
2018
A cut finite element method with boundary value correction. Zbl 1380.65362
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2018
Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions. Zbl 1417.65199
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
2018
Shape optimization using the cut finite element method. Zbl 1439.74316
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2018
Data assimilation for the heat equation using stabilized finite element methods. Zbl 1412.65111
Burman, Erik; Oksanen, Lauri
2018
Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization. Zbl 1404.65253
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2018
Primal-dual mixed finite element methods for the elliptic Cauchy problem. Zbl 1408.65085
Burman, Erik; Larson, Mats G.; Oksanen, Lauri
2018
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
2018
A cut finite element method with boundary value correction for the incompressible Stokes equations. Zbl 1425.76133
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2018
Stabilized nonconforming finite element methods for data assimilation in incompressible flows. Zbl 1404.76157
Burman, Erik; Hansbo, Peter
2018
Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes. Zbl 1395.65137
Barrenechea, Gabriel R.; Burman, Erik; Karakatsani, Fotini
2017
A stabilized nonconforming finite element method for the elliptic Cauchy problem. Zbl 1351.65074
Burman, Erik
2017
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
2017
Deriving robust unfitted finite element methods from augmented Lagrangian formulations. Zbl 1448.65217
Burman, Erik; Hansbo, Peter
2017
A cut discontinuous Galerkin method for the Laplace-Beltrami operator. Zbl 1433.65281
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
2017
Software frameworks for integral equations in electromagnetic scattering based on Calderón identities. Zbl 1397.65309
Scroggs, Matthew W.; Betcke, Timo; Burman, Erik; Śmigaj, Wojciech; van &rsquo;t Wout, Elwin
2017
Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem. Zbl 1398.76097
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
2017
The penalty-free Nitsche method and nonconforming finite elements for the Signorini problem. Zbl 1457.65183
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2017
Penalty-free Nitsche method for interface problems. Zbl 06881045
Boiveau, Thomas; Burman, Erik; Claus, Susanne
2017
Galerkin least squares finite element method for the obstacle problem. Zbl 1439.74395
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Stenberg, Rolf
2017
Blending low-order stabilised finite element methods: a positivity-preserving local projection method for the convection-diffusion equation. Zbl 1439.65144
Barrenechea, Gabriel R.; Burman, Erik; Karakatsani, Fotini
2017
The elliptic Cauchy problem revisited: control of boundary data in natural norms. (Le problème de Cauchy pour les équations elliptiques revisité: contrôle frontière en normes naturelles.) Zbl 1362.65096
Burman, Erik
2017
Error estimates for transport problems with high Péclet number using a continuous dependence assumption. Zbl 1457.76097
Burman, Erik; Santos, Isaac P.
2017
A cut finite element method for the Bernoulli free boundary value problem. Zbl 1439.65150
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2017
A nonlinear consistent penalty method weakly enforcing positivity in the finite element approximation of the transport equation. Zbl 1439.76053
Burman, Erik; Ern, Alexandre
2017
Cut finite element methods for coupled bulk-surface problems. Zbl 1341.65044
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
2016
Linear continuous interior penalty finite element method for Helmholtz equation with high wave number: One-dimensional analysis. Zbl 1364.65149
Burman, Erik; Wu, Haijun; Zhu, Lingxue
2016
A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity. Zbl 1433.74101
Boiveau, Thomas; Burman, Erik
2016
Stabilised finite element methods for ill-posed problems with conditional stability. Zbl 1357.65254
Burman, Erik
2016
A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. Zbl 1368.65248
Cantin, Pierre; Bonelle, Jérôme; Burman, Erik; Ern, Alexandre
2016
Local CIP stabilization for composite finite elements. Zbl 1342.65212
Burman, Erik; Schieweck, Friedhelm
2016
Full gradient stabilized cut finite element methods for surface partial differential equations. Zbl 1439.65152
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André; Zahedi, Sara
2016
CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604
Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André
2015
A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator. Zbl 1425.65152
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2015
A stabilized cut finite element method for the three field Stokes problem. Zbl 1326.76057
Burman, Erik; Claus, Susanne; Massing, André
2015
Robust error estimates for stabilized finite element approximations of the two dimensional Navier-Stokes’ equations at high Reynolds number. Zbl 1423.76214
Burman, Erik
2015
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Zbl 1382.65306
Burman, Erik
2015
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
2014
An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Zbl 1423.74867
Burman, Erik; Fernández, Miguel A.
2014
Error estimates for stabilized finite element methods applied to ill-posed problems. (Estimations d’erreurs pour des méthodes d’éléments finis stabilisées appliquées à des problèmes mal posés.) Zbl 1297.65148
Burman, Erik
2014
Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. Zbl 1352.74104
Burman, Erik; Fernández, Miguel A.
2014
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. II: Hyperbolic equations. Zbl 1457.65182
Burman, Erik
2014
Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. Zbl 1288.65153
Burman, Erik
2014
Robust error estimates in weak norms for advection dominated transport problems with rough data. Zbl 1317.65188
Burman, Erik
2014
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. Zbl 1286.65152
Burman, Erik
2013
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
2012
A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. Zbl 1262.65165
Burman, Erik
2012
Numerical approximation of large contrast problems with the unfitted Nitsche method. Zbl 1248.65121
Burman, Erik; Zunino, Paolo
2012
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123
Burman, Erik; Ern, Alexandre
2012
A hierarchical NXFEM for fictitious domain simulations. Zbl 1216.74018
Becker, Roland; Burman, Erik; Hansbo, Peter
2011
Analysis of the space semi-discretized SUPG method for transient convection-diffusion equations. Zbl 1241.65098
Burman, Erik; Smith, Giles
2011
Crank–Nicolson finite element methods using symmetric stabilization with an application to optimal control problems subject to transient advection–diffusion equations. Zbl 1279.49019
Burman, Erik
2011
Duality based a posteriori error estimation for quasi-periodic solutions using time averages. Zbl 1298.65146
Braack, M.; Burman, E.; Taschenberger, N.
2011
Analysis of the PSPG method for the transient Stokes problem. Zbl 1230.76022
Burman, Erik; Fernández, Miguel A.
2011
A finite element time relaxation method. Zbl 1305.76052
Becker, Roland; Burman, Erik; Hansbo, Peter
2011
Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes. Zbl 1261.65114
Burman, Erik; Stamm, Benjamin
2011
Ghost penalty. Zbl 1204.65142
Burman, Erik
2010
Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method. Zbl 1231.65207
Burman, Erik; Hansbo, Peter
2010
Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems. Zbl 1226.65086
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
2010
Consistent SUPG-method for transient transport problems: stability and convergence. Zbl 1227.76047
Burman, Erik
2010
Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems. Zbl 1201.65204
Burman, Erik; Hansbo, Peter
2010
Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations. Zbl 1203.65247
Burman, Erik; Quarteroni, Alfio; Stamm, Benjamin
2010
Bubble stabilized discontinuous Galerkin method for Stokes’ problem. Zbl 1191.65149
Burman, Erik; Stamm, Benjamin
2010
Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems. Zbl 1207.65135
Burman, Erik; Stamm, Benjamin
2010
Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L.
2009
Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Zbl 1229.76045
Burman, Erik; Fernández, Miguel A.
2009
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity. Zbl 1230.74169
Becker, Roland; Burman, Erik; Hansbo, Peter
2009
Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation. Zbl 1228.76081
Burman, Erik; Fernández, Miguel A.
2009
Galerkin finite element methods with symmetric pressure stabilization for the transient Stokes equations: stability and convergence analysis. Zbl 1391.76308
Burman, Erik; Fernández, Miguel A.
2009
Low order discontinuous Galerkin methods for second order elliptic problems. Zbl 1190.65170
Burman, E.; Stamm, B.
2009
...and 47 more Documents
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### Cited by 2,057 Authors

 109 Burman, Erik 43 Larson, Mats G. 41 Hansbo, Peter 27 Ern, Alexandre 27 Fernández, Miguel Ángel 25 John, Volker 24 Badia, Santiago 19 Olshanskii, Maxim A. 17 Barrenechea, Gabriel R. 17 Matthies, Gunar 17 Tobiska, Lutz 16 Massing, André 16 Schillinger, Dominik 15 Feng, Minfu 15 Linke, Alexander 14 Novo, Julia 14 Wall, Wolfgang A. 14 Yuan, Guangwei 13 Ahmed, Naveed 12 Codina, Ramon 12 Hughes, Thomas J. R. 12 Lube, Gert 12 Quarteroni, Alfio M. 11 Abgrall, Rémi 11 Bazilevs, Yuri 11 Bukač, Martina 11 Ganesan, Sashikumaar 11 Gravemeier, Volker 11 Guzmán, Johnny 11 Lehrenfeld, Christoph 11 Oñate Ibáñez de Navarra, Eugenio 11 Scovazzi, Guglielmo 11 Van Brummelen, Harald 11 Zahedi, Sara 11 Zunino, Paolo 10 Chacón Rebollo, Tomás 10 Chen, Jinru 10 Guermond, Jean-Luc 10 He, Yinnian 10 Rebholz, Leo G. 10 Reusken, Arnold 10 Sheng, Zhiqiang 10 Turek, Stefan 10 Wu, Haijun 10 Zheng, Haibiao 9 Antonietti, Paola Francesca 9 Becker, Roland 9 Chen, Gang 9 Georgoulis, Emmanuil H. 9 Knobloch, Petr 9 Kuzmin, Dmitri 9 Larsson, Karl 9 Lin, Tao 9 Oksanen, Lauri 9 Picasso, Marco 9 Rank, Ernst 9 Rozza, Gianluigi 9 Shu, Chi-Wang 9 Vergara, Christian 8 Cangiani, Andrea 8 Chouly, Franz 8 Feng, Xinlong 8 Frei, Stefan 8 Guo, Ruchi 8 Kahle, Christian 8 Kreiss, Gunilla 8 Popov, Boyan 8 Rubino, Samuele 8 Stamm, Benjamin 8 Verani, Marco 8 Verdugo, Francesc 8 Verhoosel, Clemens V. 8 Vohralík, Martin 8 Wang, Chunmei 7 Allendes, Alejandro 7 Annavarapu, Chandrasekhar 7 Baiges, Joan 7 Chen, Shaochun 7 Di Pietro, Daniele Antonio 7 Dolbow, John E. 7 Düster, Alexander 7 García-Archilla, Bosco 7 Giani, Stefano 7 Houston, Paul 7 Johansson, August 7 Korotov, Sergey 7 Mu, Lin 7 Nakshatrala, K. B. 7 Ruess, Martin 7 Sarkis, Marcus V. 7 Valentin, Frédéric 7 Wang, Junping 7 Zhu, Lingxue 6 Achchab, Boujemaa 6 Al Mahbub, Md. Abdullah 6 Auricchio, Ferdinando 6 Bordas, Stéphane Pierre Alain 6 Braack, Malte 6 Buffa, Annalisa 6 Çeşmelioğlu, Ayçıl ...and 1,957 more Authors
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### Cited in 141 Serials

 304 Computer Methods in Applied Mechanics and Engineering 174 Journal of Computational Physics 85 Journal of Scientific Computing 77 Computers & Mathematics with Applications 74 Journal of Computational and Applied Mathematics 52 SIAM Journal on Numerical Analysis 49 Applied Numerical Mathematics 47 SIAM Journal on Scientific Computing 43 Numerische Mathematik 39 Mathematics of Computation 38 Computers and Fluids 38 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 International Journal for Numerical Methods in Engineering 26 Applied Mathematics and Computation 26 Numerical Methods for Partial Differential Equations 24 Computational Mechanics 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 International Journal for Numerical Methods in Fluids 16 Advances in Computational Mathematics 14 Calcolo 14 Communications in Computational Physics 12 Applied Mathematics Letters 12 Computational Methods in Applied Mathematics 12 Advances in Applied Mathematics and Mechanics 10 Computational Geosciences 9 Applied Mathematical Modelling 8 BIT 8 Engineering Analysis with Boundary Elements 8 International Journal of Numerical Analysis and Modeling 8 Communications on Applied Mathematics and Computation 7 Inverse Problems 7 Journal of Mathematical Analysis and Applications 7 Journal of Numerical Mathematics 6 International Journal of Computer Mathematics 6 Computational and Applied Mathematics 6 S$$\vec{\text{e}}$$MA Journal 5 Mathematics and Computers in Simulation 5 Applied Mathematics and Mechanics. (English Edition) 5 Numerical Algorithms 5 Archives of Computational Methods in Engineering 4 International Journal of Computational Fluid Dynamics 4 Journal of Mathematical Fluid Mechanics 4 Discrete and Continuous Dynamical Systems. Series B 4 Advances in Difference Equations 4 Science China. Mathematics 3 Applicable Analysis 3 Journal of Fluid Mechanics 3 SIAM Journal on Control and Optimization 3 Applications of Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Abstract and Applied Analysis 3 European Journal of Mechanics. B. Fluids 3 SMAI Journal of Computational Mathematics 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Computing 2 Journal of Differential Equations 2 Journal of the Korean Mathematical Society 2 Kybernetika 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 Communications in Numerical Methods in Engineering 2 Mathematical Problems in Engineering 2 Combustion Theory and Modelling 2 International Journal of Computational Methods 2 Boundary Value Problems 2 Inverse Problems and Imaging 2 Advances in Mathematical Physics 2 International Journal for Numerical Methods in Biomedical Engineering 2 GEM - International Journal on Geomathematics 2 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Acta Mechanica 1 Fluid Dynamics 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Combinatorial Theory. Series A 1 Journal of Optimization Theory and Applications 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Computer Aided Geometric Design 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Computational Mathematics and Modeling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis 1 Computational Optimization and Applications 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 International Journal of Numerical Methods for Heat & Fluid Flow ...and 41 more Serials
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### Cited in 35 Fields

 1,234 Numerical analysis (65-XX) 777 Fluid mechanics (76-XX) 511 Partial differential equations (35-XX) 273 Mechanics of deformable solids (74-XX) 61 Biology and other natural sciences (92-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 38 Optics, electromagnetic theory (78-XX) 35 Classical thermodynamics, heat transfer (80-XX) 16 Geophysics (86-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Computer science (68-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Approximations and expansions (41-XX) 8 Probability theory and stochastic processes (60-XX) 8 Systems theory; control (93-XX) 7 Operations research, mathematical programming (90-XX) 6 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Differential geometry (53-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)

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