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Author ID: burman.erik Recent zbMATH articles by "Burman, Erik"
Published as: Burman, Erik; Burman, E.; Burman, Eric
Homepage: https://iris.ucl.ac.uk/iris/browse/profile?upi=ENBUR31
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all top 5

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
all top 5

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

Publications by Year

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
190
2015
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
156
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.
133
2009
Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems. Zbl 1085.76033
Burman, Erik; Hansbo, Peter
133
2004
Ghost penalty. Zbl 1204.65142
Burman, Erik
112
2010
Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method. Zbl 1109.35086
Braack, M.; Burman, E.
107
2006
Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method. Zbl 1231.65207
Burman, Erik; Hansbo, Peter
98
2010
Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322
Braack, M.; Burman, E.; John, V.; Lube, G.
97
2007
A unified stabilized method for Stokes’ and Darcy’s equations. Zbl 1101.76032
Burman, Erik; Hansbo, Peter
79
2007
Continuous interior penalty finite element method for Oseen’s equations. Zbl 1344.76049
Burman, Erik; Fernández, Miguel A.; Hansbo, Peter
74
2006
Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Zbl 1229.76045
Burman, Erik; Fernández, Miguel A.
72
2009
Continuous interior penalty \(hp\)-finite element methods for advection and advection-diffusion equations. Zbl 1118.65118
Burman, Erik; Ern, Alexandre
72
2007
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity. Zbl 1230.74169
Becker, Roland; Burman, Erik; Hansbo, Peter
63
2009
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
55
2014
Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence. Zbl 1078.65088
Burman, Erik; Ern, Alexandre
53
2005
A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty. Zbl 1111.65102
Burman, Erik
53
2005
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037
Burman, Erik; Hansbo, Peter
51
2005
Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes. Zbl 1049.65128
Burman, Erik; Ern, Alexandre
49
2004
Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation. Zbl 1101.76354
Burman, Erik; Ern, Alexandre
42
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.
41
2007
An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Zbl 1423.74867
Burman, Erik; Fernández, Miguel A.
41
2014
A domain decomposition method based on weighted interior penalties for advection-diffusion-reaction problems. Zbl 1125.65113
Burman, Erik; Zunino, Paolo
39
2006
Edge stabilization for the generalized Stokes problem: a continuous interior penalty method. Zbl 1125.76038
Burman, Erik; Hansbo, Peter
38
2006
A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. Zbl 1262.65165
Burman, Erik
37
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.
34
2010
Consistent SUPG-method for transient transport problems: stability and convergence. Zbl 1227.76047
Burman, Erik
28
2010
Pressure projection stabilizations for Galerkin approximations of Stokes’ and Darcy’s problem. Zbl 1139.76029
Burman, Erik
28
2008
Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems. Zbl 1201.65204
Burman, Erik; Hansbo, Peter
26
2010
Cut finite element methods for coupled bulk-surface problems. Zbl 1341.65044
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
25
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.
25
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
24
2016
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. Zbl 1286.65152
Burman, Erik
24
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
23
2014
Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements. Zbl 1148.76031
Burman, E.; Linke, A.
23
2008
Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation. Zbl 1228.76081
Burman, Erik; Fernández, Miguel A.
22
2009
An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201
Burman, Erik; Ern, Alexandre
22
2018
Stabilized explicit coupling for fluid-structure interaction using Nitsche’s method. Zbl 1126.74047
Burman, Erik; Fernández, Miguel A.
21
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.
20
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
19
2018
Numerical approximation of large contrast problems with the unfitted Nitsche method. Zbl 1248.65121
Burman, Erik; Zunino, Paolo
19
2012
Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation. Zbl 1173.76332
Burman, Erik
19
2007
Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. Zbl 1352.74104
Burman, Erik; Fernández, Miguel A.
18
2014
A stabilized non-conforming finite element method for incompressible flow. Zbl 1115.76042
Burman, Erik; Hansbo, Peter
18
2006
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. II: Hyperbolic equations. Zbl 1457.65182
Burman, Erik
18
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
18
2017
A cut finite element method with boundary value correction. Zbl 1380.65362
Burman, Erik; Hansbo, Peter; Larson, Mats G.
18
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
18
2018
Low order discontinuous Galerkin methods for second order elliptic problems. Zbl 1190.65170
Burman, E.; Stamm, B.
16
2009
Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian. Zbl 1152.65073
Burman, Erik; Ern, Alexandre
16
2008
On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws. Zbl 1133.65075
Burman, Erik
15
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.
15
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
14
2016
A stabilized nonconforming finite element method for the elliptic Cauchy problem. Zbl 1351.65074
Burman, Erik
13
2017
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
13
2017
Deriving robust unfitted finite element methods from augmented Lagrangian formulations. Zbl 1448.65217
Burman, Erik; Hansbo, Peter
13
2017
A cut discontinuous Galerkin method for the Laplace-Beltrami operator. Zbl 1433.65281
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
13
2017
A finite element level set method for viscous free-surface flows. Zbl 1229.76057
Parolini, N.; Burman, E.
12
2005
A hierarchical NXFEM for fictitious domain simulations. Zbl 1216.74018
Becker, Roland; Burman, Erik; Hansbo, Peter
11
2011
A stabilized cut finite element method for the three field Stokes problem. Zbl 1326.76057
Burman, Erik; Claus, Susanne; Massing, André
11
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
11
2017
Shape optimization using the cut finite element method. Zbl 1439.74316
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
11
2018
Analysis of the space semi-discretized SUPG method for transient convection-diffusion equations. Zbl 1241.65098
Burman, Erik; Smith, Giles
10
2011
Weighted error estimates of the continuous interior penalty method for singularly perturbed problems. Zbl 1166.65054
Burman, Erik; Guzmán, Johnny; Leykekhman, Dmitriy
10
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.
10
2017
Data assimilation for the heat equation using stabilized finite element methods. Zbl 1412.65111
Burman, Erik; Oksanen, Lauri
10
2018
Cut finite elements for convection in fractured domains. Zbl 1411.76055
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
10
2019
A continuous interior penalty method for viscoelastic flows. Zbl 1162.76026
Bonito, Andrea; Burman, Erik
9
2008
Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations. Zbl 1203.65247
Burman, Erik; Quarteroni, Alfio; Stamm, Benjamin
9
2010
Anisotropic, adaptive finite elements for the computation of a solutal dendrite. Zbl 1039.76030
Burman, E.; Picasso, M.
9
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.
9
2018
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
9
2020
Stabilised finite element methods for ill-posed problems with conditional stability. Zbl 1357.65254
Burman, Erik
8
2016
A posteriori error estimation for interior penalty finite element approximations of the advection-reaction equation. Zbl 1205.65249
Burman, Erik
8
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
8
2011
Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. Zbl 1288.65153
Burman, Erik
8
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.
8
2004
Local discontinuous Galerkin method with reduced stabilization for diffusion equations. Zbl 1364.65240
Burman, E.; Stamm, B.
8
2009
The penalty-free Nitsche method and nonconforming finite elements for the Signorini problem. Zbl 1457.65183
Burman, Erik; Hansbo, Peter; Larson, Mats G.
8
2017
Unique continuation for the Helmholtz equation using stabilized finite element methods. Zbl 1429.35053
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
8
2019
Duality based a posteriori error estimation for quasi-periodic solutions using time averages. Zbl 1298.65146
Braack, M.; Burman, E.; Taschenberger, N.
7
2011
Bubble stabilized discontinuous Galerkin method for Stokes’ problem. Zbl 1191.65149
Burman, Erik; Stamm, Benjamin
7
2010
Bunsen flame simulation by finite elements on adaptively refined, unstructured triangulations. Zbl 1068.80536
Burman, Erik; Ern, Alexandre; Giovangigli, Vincent
7
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
7
2007
Primal-dual mixed finite element methods for the elliptic Cauchy problem. Zbl 1408.65085
Burman, Erik; Larson, Mats G.; Oksanen, Lauri
7
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
7
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
7
2021
Analysis of the PSPG method for the transient Stokes problem. Zbl 1230.76022
Burman, Erik; Fernández, Miguel A.
6
2011
Adaptive finite element methods for compressible two-phase flow. Zbl 1018.76024
Burman, E.
6
2000
Adaptive finite element methods for compressible flow. Zbl 0973.76040
Burman, Erik
6
2000
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123
Burman, Erik; Ern, Alexandre
6
2012
Existence of solutions to an anisotropic phase-field model. Zbl 1032.35053
Burman, Erik; Rappaz, Jacques
6
2003
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
6
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
6
2015
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Zbl 1382.65306
Burman, Erik
5
2015
Continuous interior penalty \(hp\)-finite element methods for transport operators. Zbl 1119.65406
Burman, Erik; Ern, Alexandre
5
2006
A continuous finite element method with face penalty to approximate Friedrichs’ systems. Zbl 1129.65083
Burman, Erik; Ern, Alexandre
5
2007
Minimal stabilization for discontinuous Galerkin finite element methods for hyperbolic problems. Zbl 1132.65084
Burman, E.; Stamm, B.
5
2007
Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment. Zbl 1133.65096
Burman, Erik; Stamm, Benjamin
5
2008
Stabilized CutFEM for the convection problem on surfaces. Zbl 1407.65283
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
5
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
4
1995
A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500
Burman, Erik; He, Cuiyu; Larson, Mats G.
3
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.
1
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
7
2021
Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248
Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane
4
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
3
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
2
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.
2
2021
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
9
2020
Dirichlet boundary value correction using Lagrange multipliers. Zbl 1431.65213
Burman, Erik; Hansbo, Peter; Larson, Mats G.
4
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
4
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
4
2020
A fully discrete numerical control method for the wave equation. Zbl 1444.35110
Burman, Erik; Feizmohammadi, Ali; Oksanen, Lauri
3
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
3
2020
A finite element data assimilation method for the wave equation. Zbl 1436.65132
Burman, Erik; Feizmohammadi, Ali; Oksanen, Lauri
2
2020
A cut finite element method for a model of pressure in fractured media. Zbl 1473.65289
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2
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
1
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
1
2020
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. Zbl 07413174
Burman, Erik; Christiansen, Snorre H.; Hansbo, Peter
1
2020
Cut finite elements for convection in fractured domains. Zbl 1411.76055
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
10
2019
Unique continuation for the Helmholtz equation using stabilized finite element methods. Zbl 1429.35053
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
8
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
7
2019
Stabilized CutFEM for the convection problem on surfaces. Zbl 1407.65283
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
5
2019
Augmented Lagrangian finite element methods for contact problems. Zbl 1422.65374
Burman, Erik; Hansbo, Peter; Larson, Mats G.
4
2019
Hybridized CutFEM for elliptic interface problems. Zbl 1435.65193
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
4
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
3
2019
A simple finite element method for elliptic bulk problems with embedded surfaces. Zbl 1411.65151
Burman, Erik; Hansbo, Peter; Larson, Mats G.
3
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
3
2019
Boundary element methods with weakly imposed boundary conditions. Zbl 1416.65485
Betcke, Timo; Burman, Erik; Scroggs, Matthew W.
1
2019
Primal dual mixed finite element methods for indefinite advection-diffusion equations. Zbl 1434.65239
Burman, Erik; He, Cuiyu
1
2019
An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201
Burman, Erik; Ern, Alexandre
22
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
19
2018
A cut finite element method with boundary value correction. Zbl 1380.65362
Burman, Erik; Hansbo, Peter; Larson, Mats G.
18
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
18
2018
Shape optimization using the cut finite element method. Zbl 1439.74316
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
11
2018
Data assimilation for the heat equation using stabilized finite element methods. Zbl 1412.65111
Burman, Erik; Oksanen, Lauri
10
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.
9
2018
Primal-dual mixed finite element methods for the elliptic Cauchy problem. Zbl 1408.65085
Burman, Erik; Larson, Mats G.; Oksanen, Lauri
7
2018
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
6
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.
3
2018
Stabilized nonconforming finite element methods for data assimilation in incompressible flows. Zbl 1404.76157
Burman, Erik; Hansbo, Peter
2
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
18
2017
A stabilized nonconforming finite element method for the elliptic Cauchy problem. Zbl 1351.65074
Burman, Erik
13
2017
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
13
2017
Deriving robust unfitted finite element methods from augmented Lagrangian formulations. Zbl 1448.65217
Burman, Erik; Hansbo, Peter
13
2017
A cut discontinuous Galerkin method for the Laplace-Beltrami operator. Zbl 1433.65281
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
13
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 ’t Wout, Elwin
11
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.
10
2017
The penalty-free Nitsche method and nonconforming finite elements for the Signorini problem. Zbl 1457.65183
Burman, Erik; Hansbo, Peter; Larson, Mats G.
8
2017
Penalty-free Nitsche method for interface problems. Zbl 06881045
Boiveau, Thomas; Burman, Erik; Claus, Susanne
3
2017
Galerkin least squares finite element method for the obstacle problem. Zbl 1439.74395
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Stenberg, Rolf
3
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
3
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
2
2017
Error estimates for transport problems with high Péclet number using a continuous dependence assumption. Zbl 1457.76097
Burman, Erik; Santos, Isaac P.
1
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
1
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
1
2017
Cut finite element methods for coupled bulk-surface problems. Zbl 1341.65044
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
25
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
24
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
14
2016
Stabilised finite element methods for ill-posed problems with conditional stability. Zbl 1357.65254
Burman, Erik
8
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
3
2016
Local CIP stabilization for composite finite elements. Zbl 1342.65212
Burman, Erik; Schieweck, Friedhelm
2
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
2
2016
CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604
Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André
190
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.
25
2015
A stabilized cut finite element method for the three field Stokes problem. Zbl 1326.76057
Burman, Erik; Claus, Susanne; Massing, André
11
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
6
2015
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Zbl 1382.65306
Burman, Erik
5
2015
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
55
2014
An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Zbl 1423.74867
Burman, Erik; Fernández, Miguel A.
41
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
23
2014
Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. Zbl 1352.74104
Burman, Erik; Fernández, Miguel A.
18
2014
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. II: Hyperbolic equations. Zbl 1457.65182
Burman, Erik
18
2014
Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. Zbl 1288.65153
Burman, Erik
8
2014
Robust error estimates in weak norms for advection dominated transport problems with rough data. Zbl 1317.65188
Burman, Erik
3
2014
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. Zbl 1286.65152
Burman, Erik
24
2013
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
156
2012
A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. Zbl 1262.65165
Burman, Erik
37
2012
Numerical approximation of large contrast problems with the unfitted Nitsche method. Zbl 1248.65121
Burman, Erik; Zunino, Paolo
19
2012
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123
Burman, Erik; Ern, Alexandre
6
2012
A hierarchical NXFEM for fictitious domain simulations. Zbl 1216.74018
Becker, Roland; Burman, Erik; Hansbo, Peter
11
2011
Analysis of the space semi-discretized SUPG method for transient convection-diffusion equations. Zbl 1241.65098
Burman, Erik; Smith, Giles
10
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
8
2011
Duality based a posteriori error estimation for quasi-periodic solutions using time averages. Zbl 1298.65146
Braack, M.; Burman, E.; Taschenberger, N.
7
2011
Analysis of the PSPG method for the transient Stokes problem. Zbl 1230.76022
Burman, Erik; Fernández, Miguel A.
6
2011
A finite element time relaxation method. Zbl 1305.76052
Becker, Roland; Burman, Erik; Hansbo, Peter
2
2011
Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes. Zbl 1261.65114
Burman, Erik; Stamm, Benjamin
1
2011
Ghost penalty. Zbl 1204.65142
Burman, Erik
112
2010
Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method. Zbl 1231.65207
Burman, Erik; Hansbo, Peter
98
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.
34
2010
Consistent SUPG-method for transient transport problems: stability and convergence. Zbl 1227.76047
Burman, Erik
28
2010
Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems. Zbl 1201.65204
Burman, Erik; Hansbo, Peter
26
2010
Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations. Zbl 1203.65247
Burman, Erik; Quarteroni, Alfio; Stamm, Benjamin
9
2010
Bubble stabilized discontinuous Galerkin method for Stokes’ problem. Zbl 1191.65149
Burman, Erik; Stamm, Benjamin
7
2010
Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems. Zbl 1207.65135
Burman, Erik; Stamm, Benjamin
3
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.
133
2009
Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Zbl 1229.76045
Burman, Erik; Fernández, Miguel A.
72
2009
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity. Zbl 1230.74169
Becker, Roland; Burman, Erik; Hansbo, Peter
63
2009
Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation. Zbl 1228.76081
Burman, Erik; Fernández, Miguel A.
22
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.
20
2009
Low order discontinuous Galerkin methods for second order elliptic problems. Zbl 1190.65170
Burman, E.; Stamm, B.
16
2009
...and 47 more Documents
all top 5

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
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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
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1 Acta Mechanica
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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
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1 Journal of Mathematical Sciences (New York)
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