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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
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
all top 5

Co-Authors

26 single-authored
55 Hansbo, Peter
43 Larson, Mats G.
28 Ern, Alexandre
18 Fernández, Miguel Ángel
13 Oksanen, Lauri
10 Guzmán, Johnny
10 Stamm, Benjamin
9 Massing, André
8 Larsson, Karl
5 Barrenechea, Gabriel R.
5 Delay, Guillaume
5 Frei, Stefan
5 He, Cuiyu
4 Betcke, Timo
4 Claus, Susanne
4 Elfverson, Daniel
4 Feizmohammadi, Ali
4 Nechita, Mihai
4 Scroggs, Matthew W.
4 Zahedi, Sara
3 Becker, Roland
3 Bertoluzza, Silvia
3 Boiveau, Thomas
3 Braack, Malte
3 Durán, Omar
3 Durst, Rebecca F.
3 Gerosa, Fannie M.
3 Picasso, Marco
3 Preuß, Janosch
3 Rappaz, Jacques
2 Bonito, Andrea
2 El Alaoui, Linda
2 Garg, Deepika
2 Giovangigli, Vincent
2 Karakatsani, Fotini
2 Linke, Alexander
2 Münch, Arnaud
2 Parolini, Nicola
2 Quarteroni, Alfio M.
2 Zunino, Paolo
1 Ahmed, Naveed
1 Bonelle, Jérôme
1 Bordas, Stéphane Pierre Alain
1 Bosy, Michał
1 Boulakia, Muriel
1 Cáceres, Ernesto
1 Cantin, Pierre
1 Cassinelli, Andrea
1 Christiansen, Snorre Harald
1 Cicuttin, Matteo
1 da Silva, Andre F. C.
1 Ganesan, Sashikumaar
1 Gillissen, Jurriaan J. J.
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 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

32 Computer Methods in Applied Mechanics and Engineering
20 SIAM Journal on Numerical Analysis
13 Numerische Mathematik
11 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
7 Mathematics of Computation
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Numerical Methods for Partial Differential Equations
4 Journal of Scientific Computing
3 International Journal for Numerical Methods in Engineering
3 Journal of Numerical Mathematics
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 Vietnam Journal of Mathematics
2 GEM - International Journal on Geomathematics
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 Numerical Algorithms
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Annales Mathématiques Blaise Pascal
1 Journal of Inverse and Ill-Posed Problems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

166 Publications have been cited 3,883 times in 1,997 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
282
2015
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
197
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.
174
2009
Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems. Zbl 1085.76033
Burman, Erik; Hansbo, Peter
161
2004
Ghost penalty. Zbl 1204.65142
Burman, Erik
154
2010
Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method. Zbl 1231.65207
Burman, Erik; Hansbo, Peter
122
2010
Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method. Zbl 1109.35086
Braack, M.; Burman, E.
121
2006
Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322
Braack, M.; Burman, E.; John, V.; Lube, G.
107
2007
Continuous interior penalty \(hp\)-finite element methods for advection and advection-diffusion equations. Zbl 1118.65118
Burman, Erik; Ern, Alexandre
92
2007
Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Zbl 1229.76045
Burman, Erik; Fernández, Miguel A.
88
2009
A unified stabilized method for Stokes’ and Darcy’s equations. Zbl 1101.76032
Burman, Erik; Hansbo, Peter
87
2007
Continuous interior penalty finite element method for Oseen’s equations. Zbl 1344.76049
Burman, Erik; Fernández, Miguel A.; Hansbo, Peter
85
2006
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity. Zbl 1230.74169
Becker, Roland; Burman, Erik; Hansbo, Peter
75
2009
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
72
2014
A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty. Zbl 1111.65102
Burman, Erik
65
2005
Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence. Zbl 1078.65088
Burman, Erik; Ern, Alexandre
62
2005
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037
Burman, Erik; Hansbo, Peter
58
2005
Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes. Zbl 1049.65128
Burman, Erik; Ern, Alexandre
55
2004
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.
53
2007
An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Zbl 1423.74867
Burman, Erik; Fernández, Miguel A.
51
2014
Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation. Zbl 1101.76354
Burman, Erik; Ern, Alexandre
51
2002
A domain decomposition method based on weighted interior penalties for advection-diffusion-reaction problems. Zbl 1125.65113
Burman, Erik; Zunino, Paolo
48
2006
A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. Zbl 1262.65165
Burman, Erik
48
2012
Edge stabilization for the generalized Stokes problem: a continuous interior penalty method. Zbl 1125.76038
Burman, Erik; Hansbo, Peter
46
2006
Consistent SUPG-method for transient transport problems: stability and convergence. Zbl 1227.76047
Burman, Erik
44
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.
43
2010
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.
36
2015
An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201
Burman, Erik; Ern, Alexandre
35
2018
Shape optimization using the cut finite element method. Zbl 1439.74316
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
35
2018
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. Zbl 1286.65152
Burman, Erik
30
2013
Cut finite element methods for coupled bulk-surface problems. Zbl 1341.65044
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
30
2016
Pressure projection stabilizations for Galerkin approximations of Stokes’ and Darcy’s problem. Zbl 1139.76029
Burman, Erik
30
2008
A cut finite element method with boundary value correction. Zbl 1380.65362
Burman, Erik; Hansbo, Peter; Larson, Mats G.
30
2018
Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems. Zbl 1201.65204
Burman, Erik; Hansbo, Peter
30
2010
Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. Zbl 1352.74104
Burman, Erik; Fernández, Miguel A.
28
2014
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.
28
2009
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
27
2018
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
26
2016
Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements. Zbl 1148.76031
Burman, E.; Linke, A.
26
2008
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
24
2014
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
24
2018
Numerical approximation of large contrast problems with the unfitted Nitsche method. Zbl 1248.65121
Burman, Erik; Zunino, Paolo
24
2012
Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation. Zbl 1228.76081
Burman, Erik; Fernández, Miguel A.
24
2009
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
23
2017
A cut discontinuous Galerkin method for the Laplace-Beltrami operator. Zbl 1433.65281
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
23
2017
An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. Zbl 1475.65186
Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre
23
2021
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. II: Hyperbolic equations. Zbl 1457.65182
Burman, Erik
22
2014
Stabilized explicit coupling for fluid-structure interaction using Nitsche’s method. Zbl 1126.74047
Burman, Erik; Fernández, Miguel A.
22
2007
Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation. Zbl 1173.76332
Burman, Erik
21
2007
A stabilized non-conforming finite element method for incompressible flow. Zbl 1115.76042
Burman, Erik; Hansbo, Peter
20
2006
Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian. Zbl 1152.65073
Burman, Erik; Ern, Alexandre
19
2008
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
19
2017
A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity. Zbl 1433.74101
Boiveau, Thomas; Burman, Erik
18
2016
Low order discontinuous Galerkin methods for second order elliptic problems. Zbl 1190.65170
Burman, E.; Stamm, B.
18
2009
A posteriori error estimation for interior penalty finite element approximations of the advection-reaction equation. Zbl 1205.65249
Burman, Erik
17
2009
On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws. Zbl 1133.65075
Burman, Erik
16
2007
Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations. Zbl 1203.65247
Burman, Erik; Quarteroni, Alfio; Stamm, Benjamin
16
2010
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.
15
2018
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
15
2016
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 stabilized nonconforming finite element method for the elliptic Cauchy problem. Zbl 1351.65074
Burman, Erik
14
2017
Deriving robust unfitted finite element methods from augmented Lagrangian formulations. Zbl 1448.65217
Burman, Erik; Hansbo, Peter
14
2017
Data assimilation for the heat equation using stabilized finite element methods. Zbl 1412.65111
Burman, Erik; Oksanen, Lauri
14
2018
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
14
2020
Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem. Zbl 1398.76097
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
13
2017
Analysis of the space semi-discretized SUPG method for transient convection-diffusion equations. Zbl 1241.65098
Burman, Erik; Smith, Giles
13
2011
A finite element level set method for viscous free-surface flows. Zbl 1229.76057
Parolini, N.; Burman, E.
13
2005
Weighted error estimates of the continuous interior penalty method for singularly perturbed problems. Zbl 1166.65054
Burman, Erik; Guzmán, Johnny; Leykekhman, Dmitriy
13
2009
A stabilized cut finite element method for the three field Stokes problem. Zbl 1326.76057
Burman, Erik; Claus, Susanne; Massing, André
12
2015
Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. Zbl 1288.65153
Burman, Erik
12
2014
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
12
2017
Cut finite elements for convection in fractured domains. Zbl 1411.76055
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
12
2019
A hierarchical NXFEM for fictitious domain simulations. Zbl 1216.74018
Becker, Roland; Burman, Erik; Hansbo, Peter
11
2011
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
10
2019
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123
Burman, Erik; Ern, Alexandre
10
2012
Galerkin least squares finite element method for the obstacle problem. Zbl 1439.74395
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Stenberg, Rolf
10
2017
Unique continuation for the Helmholtz equation using stabilized finite element methods. Zbl 1429.35053
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
10
2019
Stabilised finite element methods for ill-posed problems with conditional stability. Zbl 1357.65254
Burman, Erik
9
2016
Minimal stabilization for discontinuous Galerkin finite element methods for hyperbolic problems. Zbl 1132.65084
Burman, E.; Stamm, B.
9
2007
Anisotropic, adaptive finite elements for the computation of a solutal dendrite. Zbl 1039.76030
Burman, E.; Picasso, M.
9
2003
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
9
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
9
2015
Analysis of the PSPG method for the transient Stokes problem. Zbl 1230.76022
Burman, Erik; Fernández, Miguel A.
9
2011
The penalty-free Nitsche method and nonconforming finite elements for the Signorini problem. Zbl 1457.65183
Burman, Erik; Hansbo, Peter; Larson, Mats G.
9
2017
A continuous interior penalty method for viscoelastic flows. Zbl 1162.76026
Bonito, Andrea; Burman, Erik
9
2008
Hybridized CutFEM for elliptic interface problems. Zbl 1435.65193
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
9
2019
Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248
Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane
9
2021
Local discontinuous Galerkin method with reduced stabilization for diffusion equations. Zbl 1364.65240
Burman, E.; Stamm, B.
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
Duality based a posteriori error estimation for quasi-periodic solutions using time averages. Zbl 1298.65146
Braack, M.; Burman, E.; Taschenberger, N.
8
2011
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
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
8
2020
Robust error estimates in weak norms for advection dominated transport problems with rough data. Zbl 1317.65188
Burman, Erik
7
2014
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Zbl 1382.65306
Burman, Erik
7
2015
Bunsen flame simulation by finite elements on adaptively refined, unstructured triangulations. Zbl 1068.80536
Burman, Erik; Ern, Alexandre; Giovangigli, Vincent
7
2004
A continuous finite element method with face penalty to approximate Friedrichs’ systems. Zbl 1129.65083
Burman, Erik; Ern, Alexandre
7
2007
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
Existence of solutions to an anisotropic phase-field model. Zbl 1032.35053
Burman, Erik; Rappaz, Jacques
7
2003
Primal-dual mixed finite element methods for the elliptic Cauchy problem. Zbl 1408.65085
Burman, Erik; Larson, Mats G.; Oksanen, Lauri
7
2018
Stabilized CutFEM for the convection problem on surfaces. Zbl 1407.65283
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
7
2019
Extension operators for trimmed spline spaces. Zbl 07644174
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2
2023
Gradient jump penalty stabilisation of spectral/\( h p\) element discretisation for under-resolved turbulence simulations. Zbl 1507.76118
Moura, Rodrigo C.; Cassinelli, Andrea; da Silva, André F. C.; Burman, Erik; Sherwin, Spencer J.
6
2022
Hybrid high-order methods for the acoustic wave equation in the time domain. Zbl 1499.65483
Burman, Erik; Duran, Omar; Ern, Alexandre
6
2022
A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500
Burman, Erik; He, Cuiyu; Larson, Mats G.
4
2022
Explicit time stepping for the wave equation using CutFEM with discrete extension. Zbl 1493.65146
Burman, Erik; Hansbo, Peter; Larson, Mats G.
4
2022
CutFEM based on extended finite element spaces. Zbl 1497.65221
Burman, Erik; Hansbo, Peter; Larson, Mats G.
4
2022
A mechanically consistent model for fluid-structure interactions with contact including seepage. Zbl 1507.74116
Burman, Erik; Fernández, Miguel A.; Frei, Stefan; Gerosa, Fannie M.
2
2022
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. Zbl 07488297
Burman, Erik; Guzmán, Johnny
2
2022
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. Zbl 07493698
Burman, Erik; Frei, Stefan; Massing, Andre
2
2022
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: Convection-dominated regime. Zbl 1486.35165
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
2
2022
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. Zbl 1496.65157
Burman, Erik; Durst, Rebecca; Fernández, Miguel A.; Guzmán, Johnny
1
2022
Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization. Zbl 1492.76071
Burman, Erik; Hansbo, Peter; Larson, Mats G.
1
2022
Unfitted hybrid high-order methods for the wave equation. Zbl 1507.65202
Burman, Erik; Duran, Omar; Ern, Alexandre
1
2022
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. Zbl 1491.65126
Burman, Erik; Puppi, Riccardo
1
2022
An a posteriori error estimate of the outer normal derivative using dual weights. Zbl 1503.65307
Bertoluzza, Silvia; Burman, Erik; He, Cuiyu
1
2022
Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps. Zbl 07600693
Burman, Erik
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
23
2021
Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248
Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane
9
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
7
2021
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. Zbl 1487.65131
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri
6
2021
A hybridized high-order method for unique continuation subject to the Helmholtz equation. Zbl 1481.65207
Burman, Erik; Delay, Guillaume; Ern, Alexandre
4
2021
An unfitted hybrid high-order method for the Stokes interface problem. Zbl 1518.65126
Burman, Erik; Delay, Guillaume; Ern, Alexandre
3
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
The unfitted HHO method for the Stokes problem on curved domains. Zbl 1470.76051
Burman, Erik; Delay, Guillaume; Ern, Alexandre
1
2021
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
14
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
8
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
7
2020
Dirichlet boundary value correction using Lagrange multipliers. Zbl 1431.65213
Burman, Erik; Hansbo, Peter; Larson, Mats G.
7
2020
A cut finite element method for a model of pressure in fractured media. Zbl 1473.65289
Burman, Erik; Hansbo, Peter; Larson, Mats G.
4
2020
A finite element data assimilation method for the wave equation. Zbl 1436.65132
Burman, Erik; Feizmohammadi, Ali; Oksanen, Lauri
4
2020
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. Zbl 1506.74392
Burman, Erik; Christiansen, Snorre H.; Hansbo, Peter
4
2020
A fully discrete numerical control method for the wave equation. Zbl 1444.35110
Burman, Erik; Feizmohammadi, Ali; Oksanen, Lauri
4
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
4
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
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
Weak imposition of Signorini boundary conditions on the boundary element method. Zbl 1451.65213
Burman, Erik; Frei, Stefan; Scroggs, Matthew W.
1
2020
Cut finite elements for convection in fractured domains. Zbl 1411.76055
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
12
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
10
2019
Unique continuation for the Helmholtz equation using stabilized finite element methods. Zbl 1429.35053
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
10
2019
Hybridized CutFEM for elliptic interface problems. Zbl 1435.65193
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
9
2019
Stabilized CutFEM for the convection problem on surfaces. Zbl 1407.65283
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
7
2019
A simple finite element method for elliptic bulk problems with embedded surfaces. Zbl 1411.65151
Burman, Erik; Hansbo, Peter; Larson, Mats G.
6
2019
Augmented Lagrangian finite element methods for contact problems. Zbl 1422.65374
Burman, Erik; Hansbo, Peter; Larson, Mats G.
6
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
4
2019
Boundary element methods with weakly imposed boundary conditions. Zbl 1416.65485
Betcke, Timo; Burman, Erik; Scroggs, Matthew W.
3
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
Primal dual mixed finite element methods for indefinite advection-diffusion equations. Zbl 1434.65239
Burman, Erik; He, Cuiyu
2
2019
An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201
Burman, Erik; Ern, Alexandre
35
2018
Shape optimization using the cut finite element method. Zbl 1439.74316
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
35
2018
A cut finite element method with boundary value correction. Zbl 1380.65362
Burman, Erik; Hansbo, Peter; Larson, Mats G.
30
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
27
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
24
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.
15
2018
Data assimilation for the heat equation using stabilized finite element methods. Zbl 1412.65111
Burman, Erik; Oksanen, Lauri
14
2018
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
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
A cut finite element method with boundary value correction for the incompressible Stokes equations. Zbl 1425.76133
Burman, Erik; Hansbo, Peter; Larson, Mats G.
5
2018
Stabilized nonconforming finite element methods for data assimilation in incompressible flows. Zbl 1404.76157
Burman, Erik; Hansbo, Peter
2
2018
A cut cell hybrid high-order method for elliptic problems with curved boundaries. Zbl 1427.65350
Burman, Erik; Ern, Alexandre
1
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
23
2017
A cut discontinuous Galerkin method for the Laplace-Beltrami operator. Zbl 1433.65281
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
23
2017
Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6–8, 2016. Zbl 1392.65006
19
2017
A stabilized nonconforming finite element method for the elliptic Cauchy problem. Zbl 1351.65074
Burman, Erik
14
2017
Deriving robust unfitted finite element methods from augmented Lagrangian formulations. Zbl 1448.65217
Burman, Erik; Hansbo, Peter
14
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.
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
12
2017
Galerkin least squares finite element method for the obstacle problem. Zbl 1439.74395
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Stenberg, Rolf
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.
9
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
7
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
7
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
3
2017
Penalty-free Nitsche method for interface problems. Zbl 1497.65219
Boiveau, Thomas; Burman, Erik; Claus, Susanne
3
2017
Error estimates for transport problems with high Péclet number using a continuous dependence assumption. Zbl 1457.76097
Burman, Erik; Santos, Isaac P.
2
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
2
2017
Cut finite element methods for coupled bulk-surface problems. Zbl 1341.65044
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara
30
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
26
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
18
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
15
2016
Stabilised finite element methods for ill-posed problems with conditional stability. Zbl 1357.65254
Burman, Erik
9
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
CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604
Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André
282
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.
36
2015
A stabilized cut finite element method for the three field Stokes problem. Zbl 1326.76057
Burman, Erik; Claus, Susanne; Massing, André
12
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
9
2015
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Zbl 1382.65306
Burman, Erik
7
2015
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
72
2014
An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Zbl 1423.74867
Burman, Erik; Fernández, Miguel A.
51
2014
Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. Zbl 1352.74104
Burman, Erik; Fernández, Miguel A.
28
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
24
2014
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. II: Hyperbolic equations. Zbl 1457.65182
Burman, Erik
22
2014
Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. Zbl 1288.65153
Burman, Erik
12
2014
Robust error estimates in weak norms for advection dominated transport problems with rough data. Zbl 1317.65188
Burman, Erik
7
2014
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. Zbl 1286.65152
Burman, Erik
30
2013
Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099
Burman, Erik; Hansbo, Peter
197
2012
A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. Zbl 1262.65165
Burman, Erik
48
2012
Numerical approximation of large contrast problems with the unfitted Nitsche method. Zbl 1248.65121
Burman, Erik; Zunino, Paolo
24
2012
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123
Burman, Erik; Ern, Alexandre
10
2012
Analysis of the space semi-discretized SUPG method for transient convection-diffusion equations. Zbl 1241.65098
Burman, Erik; Smith, Giles
13
2011
A hierarchical NXFEM for fictitious domain simulations. Zbl 1216.74018
Becker, Roland; Burman, Erik; Hansbo, Peter
11
2011
...and 66 more Documents
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Cited by 2,635 Authors

127 Burman, Erik
56 Larson, Mats G.
49 Hansbo, Peter
33 Ern, Alexandre
29 Fernández, Miguel Ángel
29 John, Volker
27 Badia, Santiago
25 Olshanskii, Maxim A.
20 Feng, Minfu
20 Schillinger, Dominik
19 Massing, André
18 Abgrall, Rémi
18 Barrenechea, Gabriel R.
18 Chen, Jinru
17 Linke, Alexander
17 Matthies, Gunar
17 Tobiska, Lutz
15 Bukač, Martina
15 Guzmán, Johnny
15 Novo, Julia
15 Van Brummelen, Harald
15 Wall, Wolfgang A.
15 Yuan, Guangwei
15 Zunino, Paolo
14 Codina, Ramon
14 Larsson, Karl
14 Lehrenfeld, Christoph
14 Quarteroni, Alfio M.
14 Reusken, Arnold
14 Scovazzi, Guglielmo
14 Zahedi, Sara
13 Ahmed, Naveed
13 Knobloch, Petr
13 Wang, Chunmei
13 Wu, Haijun
12 Ganesan, Sashikumaar
12 Guermond, Jean-Luc
12 Guo, Ruchi
12 He, Yinnian
12 Hughes, Thomas J. R.
12 Lube, Gert
12 Oñate Ibáñez de Navarra, Eugenio
12 Rank, Ernst
11 Bazilevs, Yuri
11 Chacón Rebollo, Tomás
11 Düster, Alexander
11 Georgoulis, Emmanuil H.
11 Gravemeier, Volker
11 Kuzmin, Dmitri
11 Oksanen, Lauri
11 Sheng, Zhiqiang
11 Shu, Chi-Wang
11 Turek, Stefan
11 Verhoosel, Clemens V.
10 Braack, Malte
10 Chen, Gang
10 Chouly, Franz
10 Frei, Stefan
10 Kollmannsberger, Stefan
10 Lin, Tao
10 Rebholz, Leo G.
10 Ricchiuto, Mario
10 Rozza, Gianluigi
10 Rubino, Samuele
10 Vergara, Christian
10 Wang, Feng
10 Wang, Junping
10 Zheng, Haibiao
9 Antonietti, Paola Francesca
9 Baiges, Joan
9 Becker, Roland
9 Cangiani, Andrea
9 Feng, Xinlong
9 Li, Jian
9 Picasso, Marco
9 Rui, Hongxing
9 Stoter, Stein K. F.
9 Verdugo, Francesc
9 Zhang, Jin
9 Zhang, Xu
8 Buffa, Annalisa
8 Çeşmelioğlu, Ayçıl
8 Evans, John A.
8 Garcke, Harald
8 Hou, Yanren
8 Kahle, Christian
8 Kreiss, Gunilla
8 Liu, Xiaowei
8 Lozinski, Alexei
8 Popov, Boyan
8 Reali, Alessandro
8 Stamm, Benjamin
8 Verani, Marco
8 Vohralík, Martin
8 Yuan, Long
8 Zhu, Shengfeng
7 Allendes, Alejandro
7 Annavarapu, Chandrasekhar
7 Auricchio, Ferdinando
7 Chen, Long
...and 2,535 more Authors
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Cited in 164 Serials

389 Computer Methods in Applied Mechanics and Engineering
226 Journal of Computational Physics
117 Journal of Scientific Computing
102 Computers & Mathematics with Applications
86 Journal of Computational and Applied Mathematics
70 SIAM Journal on Numerical Analysis
60 SIAM Journal on Scientific Computing
55 Applied Numerical Mathematics
52 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
48 Numerische Mathematik
46 Computers and Fluids
44 Mathematics of Computation
42 International Journal for Numerical Methods in Engineering
39 Numerical Methods for Partial Differential Equations
30 Applied Mathematics and Computation
27 Computational Mechanics
24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
18 Advances in Computational Mathematics
18 Computational Methods in Applied Mathematics
16 International Journal for Numerical Methods in Fluids
16 Calcolo
16 Communications in Computational Physics
13 Applied Mathematics Letters
13 Advances in Applied Mathematics and Mechanics
12 Journal of Numerical Mathematics
11 Applied Mathematical Modelling
11 Computational Geosciences
10 BIT
10 Mathematics and Computers in Simulation
10 Engineering Analysis with Boundary Elements
10 International Journal of Numerical Analysis and Modeling
10 Communications on Applied Mathematics and Computation
9 Inverse Problems
9 International Journal of Computer Mathematics
9 Computational and Applied Mathematics
8 Journal of Mathematical Analysis and Applications
7 SMAI Journal of Computational Mathematics
6 Numerical Algorithms
6 International Journal of Computational Fluid Dynamics
6 S\(\vec{\text{e}}\)MA Journal
5 Applied Mathematics and Mechanics. (English Edition)
5 Journal of Mathematical Fluid Mechanics
5 Archives of Computational Methods in Engineering
5 Discrete and Continuous Dynamical Systems. Series B
5 Science China. Mathematics
4 Journal of Fluid Mechanics
4 Applications of Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 European Journal of Mechanics. B. Fluids
4 Advances in Difference Equations
4 GEM - International Journal on Geomathematics
3 Applicable Analysis
3 SIAM Journal on Control and Optimization
3 Japan Journal of Industrial and Applied Mathematics
3 SIAM Journal on Mathematical Analysis
3 ETNA. Electronic Transactions on Numerical Analysis
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
3 International Journal of Computational Methods
3 Boundary Value Problems
3 Inverse Problems and Imaging
2 Fluid Dynamics
2 International Journal of Engineering Science
2 Journal of Engineering Mathematics
2 Journal of Mathematical Biology
2 Mathematical Methods in the Applied Sciences
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2 Computing
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2 Journal of the Korean Mathematical Society
2 Kybernetika
2 Chinese Annals of Mathematics. Series B
2 Bulletin of the Iranian Mathematical Society
2 Journal of Computational Mathematics
2 Computational Mathematics and Mathematical Physics
2 SIAM Review
2 Communications in Numerical Methods in Engineering
2 Vietnam Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Combustion Theory and Modelling
2 Lobachevskii Journal of Mathematics
2 Nonlinear Analysis. Real World Applications
2 Foundations of Computational Mathematics
2 Acta Numerica
2 Advances in Mathematical Physics
2 International Journal for Numerical Methods in Biomedical Engineering
2 International Journal of Advances in Engineering Sciences and Applied Mathematics
2 Mathematics in Engineering
2 Journal of Computational Physics: X
1 Acta Mechanica
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of Optimization Theory and Applications
1 Meccanica
1 Mathematica Numerica Sinica
1 Computer Aided Geometric Design
...and 64 more Serials
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Cited in 39 Fields

1,611 Numerical analysis (65-XX)
977 Fluid mechanics (76-XX)
697 Partial differential equations (35-XX)
356 Mechanics of deformable solids (74-XX)
70 Biology and other natural sciences (92-XX)
59 Calculus of variations and optimal control; optimization (49-XX)
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35 Classical thermodynamics, heat transfer (80-XX)
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19 Global analysis, analysis on manifolds (58-XX)
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17 Approximations and expansions (41-XX)
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11 Operator theory (47-XX)
10 Operations research, mathematical programming (90-XX)
10 Systems theory; control (93-XX)
8 Probability theory and stochastic processes (60-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
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3 General and overarching topics; collections (00-XX)
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