Edit Profile (opens in new tab) Burman, Erik Compute Distance To: Compute 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 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1352.65604Burman, 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 1316.65099Burman, Erik; Hansbo, Peter 156 2012 Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276Hysing, 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 1085.76033Burman, Erik; Hansbo, Peter 133 2004 Ghost penalty. Zbl 1204.65142Burman, Erik 112 2010 Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method. Zbl 1109.35086Braack, M.; Burman, E. 107 2006 Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method. Zbl 1231.65207Burman, Erik; Hansbo, Peter 98 2010 Stabilized finite element methods for the generalized Oseen problem. Zbl 1120.76322Braack, M.; Burman, E.; John, V.; Lube, G. 97 2007 A unified stabilized method for Stokes’ and Darcy’s equations. Zbl 1101.76032Burman, Erik; Hansbo, Peter 79 2007 Continuous interior penalty finite element method for Oseen’s equations. Zbl 1344.76049Burman, Erik; Fernández, Miguel A.; Hansbo, Peter 74 2006 Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Zbl 1229.76045Burman, Erik; Fernández, Miguel A. 72 2009 Continuous interior penalty \(hp\)-finite element methods for advection and advection-diffusion equations. Zbl 1118.65118Burman, Erik; Ern, Alexandre 72 2007 A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity. Zbl 1230.74169Becker, Roland; Burman, Erik; Hansbo, Peter 63 2009 Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437Burman, Erik; Hansbo, Peter 55 2014 Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence. Zbl 1078.65088Burman, Erik; Ern, Alexandre 53 2005 A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty. Zbl 1111.65102Burman, Erik 53 2005 Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Zbl 1077.76037Burman, Erik; Hansbo, Peter 51 2005 Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes. Zbl 1049.65128Burman, Erik; Ern, Alexandre 49 2004 Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation. Zbl 1101.76354Burman, Erik; Ern, Alexandre 42 2002 Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence. Zbl 1117.76032Burman, Erik; Fernández, Miguel A. 41 2007 An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Zbl 1423.74867Burman, Erik; Fernández, Miguel A. 41 2014 A domain decomposition method based on weighted interior penalties for advection-diffusion-reaction problems. Zbl 1125.65113Burman, Erik; Zunino, Paolo 39 2006 Edge stabilization for the generalized Stokes problem: a continuous interior penalty method. Zbl 1125.76038Burman, Erik; Hansbo, Peter 38 2006 A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. Zbl 1262.65165Burman, Erik 37 2012 Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems. Zbl 1226.65086Burman, Erik; Ern, Alexandre; Fernández, Miguel A. 34 2010 Consistent SUPG-method for transient transport problems: stability and convergence. Zbl 1227.76047Burman, Erik 28 2010 Pressure projection stabilizations for Galerkin approximations of Stokes’ and Darcy’s problem. Zbl 1139.76029Burman, Erik 28 2008 Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems. Zbl 1201.65204Burman, Erik; Hansbo, Peter 26 2010 Cut finite element methods for coupled bulk-surface problems. Zbl 1341.65044Burman, 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 1425.65152Burman, 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 1364.65149Burman, Erik; Wu, Haijun; Zhu, Lingxue 24 2016 Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. Zbl 1286.65152Burman, 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 1297.65148Burman, Erik 23 2014 Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements. Zbl 1148.76031Burman, E.; Linke, A. 23 2008 Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation. Zbl 1228.76081Burman, Erik; Fernández, Miguel A. 22 2009 An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201Burman, Erik; Ern, Alexandre 22 2018 Stabilized explicit coupling for fluid-structure interaction using Nitsche’s method. Zbl 1126.74047Burman, Erik; Fernández, Miguel A. 21 2007 Galerkin finite element methods with symmetric pressure stabilization for the transient Stokes equations: stability and convergence analysis. Zbl 1391.76308Burman, Erik; Fernández, Miguel A. 20 2009 Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems. Zbl 1412.65204Burman, Erik; Guzmán, Johnny; Sánchez, Manuel A.; Sarkis, Marcus 19 2018 Numerical approximation of large contrast problems with the unfitted Nitsche method. Zbl 1248.65121Burman, Erik; Zunino, Paolo 19 2012 Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation. Zbl 1173.76332Burman, Erik 19 2007 Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. Zbl 1352.74104Burman, Erik; Fernández, Miguel A. 18 2014 A stabilized non-conforming finite element method for incompressible flow. Zbl 1115.76042Burman, Erik; Hansbo, Peter 18 2006 Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. II: Hyperbolic equations. Zbl 1457.65182Burman, Erik 18 2014 Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes. Zbl 1395.65137Barrenechea, Gabriel R.; Burman, Erik; Karakatsani, Fotini 18 2017 A cut finite element method with boundary value correction. Zbl 1380.65362Burman, Erik; Hansbo, Peter; Larson, Mats G. 18 2018 Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions. Zbl 1417.65199Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André 18 2018 Low order discontinuous Galerkin methods for second order elliptic problems. Zbl 1190.65170Burman, E.; Stamm, B. 16 2009 Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian. Zbl 1152.65073Burman, Erik; Ern, Alexandre 16 2008 On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws. Zbl 1133.65075Burman, Erik 15 2007 A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection-diffusion equations. Zbl 1112.65109El 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 1433.74101Boiveau, Thomas; Burman, Erik 14 2016 A stabilized nonconforming finite element method for the elliptic Cauchy problem. Zbl 1351.65074Burman, 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 1448.65217Burman, Erik; Hansbo, Peter 13 2017 A cut discontinuous Galerkin method for the Laplace-Beltrami operator. Zbl 1433.65281Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André 13 2017 A finite element level set method for viscous free-surface flows. Zbl 1229.76057Parolini, N.; Burman, E. 12 2005 A hierarchical NXFEM for fictitious domain simulations. Zbl 1216.74018Becker, Roland; Burman, Erik; Hansbo, Peter 11 2011 A stabilized cut finite element method for the three field Stokes problem. Zbl 1326.76057Burman, Erik; Claus, Susanne; Massing, André 11 2015 Software frameworks for integral equations in electromagnetic scattering based on Calderón identities. Zbl 1397.65309Scroggs, Matthew W.; Betcke, Timo; Burman, Erik; Śmigaj, Wojciech; van ’t Wout, Elwin 11 2017 Shape optimization using the cut finite element method. Zbl 1439.74316Burman, 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 1241.65098Burman, Erik; Smith, Giles 10 2011 Weighted error estimates of the continuous interior penalty method for singularly perturbed problems. Zbl 1166.65054Burman, Erik; Guzmán, Johnny; Leykekhman, Dmitriy 10 2009 Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem. Zbl 1398.76097Burman, Erik; Ern, Alexandre; Fernández, Miguel A. 10 2017 Data assimilation for the heat equation using stabilized finite element methods. Zbl 1412.65111Burman, Erik; Oksanen, Lauri 10 2018 Cut finite elements for convection in fractured domains. Zbl 1411.76055Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl 10 2019 A continuous interior penalty method for viscoelastic flows. Zbl 1162.76026Bonito, Andrea; Burman, Erik 9 2008 Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations. Zbl 1203.65247Burman, Erik; Quarteroni, Alfio; Stamm, Benjamin 9 2010 Anisotropic, adaptive finite elements for the computation of a solutal dendrite. Zbl 1039.76030Burman, E.; Picasso, M. 9 2003 Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization. Zbl 1404.65253Burman, Erik; Hansbo, Peter; Larson, Mats G. 9 2018 A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102Burman, Erik; Fernández, Miguel A.; Frei, Stefan 9 2020 Stabilised finite element methods for ill-posed problems with conditional stability. Zbl 1357.65254Burman, Erik 8 2016 A posteriori error estimation for interior penalty finite element approximations of the advection-reaction equation. Zbl 1205.65249Burman, 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 1279.49019Burman, Erik 8 2011 Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. Zbl 1288.65153Burman, Erik 8 2014 Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model. Zbl 1086.80007Burman, E.; Jacot, A.; Picasso, M. 8 2004 Local discontinuous Galerkin method with reduced stabilization for diffusion equations. Zbl 1364.65240Burman, E.; Stamm, B. 8 2009 The penalty-free Nitsche method and nonconforming finite elements for the Signorini problem. Zbl 1457.65183Burman, Erik; Hansbo, Peter; Larson, Mats G. 8 2017 Unique continuation for the Helmholtz equation using stabilized finite element methods. Zbl 1429.35053Burman, Erik; Nechita, Mihai; Oksanen, Lauri 8 2019 Duality based a posteriori error estimation for quasi-periodic solutions using time averages. Zbl 1298.65146Braack, M.; Burman, E.; Taschenberger, N. 7 2011 Bubble stabilized discontinuous Galerkin method for Stokes’ problem. Zbl 1191.65149Burman, Erik; Stamm, Benjamin 7 2010 Bunsen flame simulation by finite elements on adaptively refined, unstructured triangulations. Zbl 1068.80536Burman, 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 1128.65061Burman, Erik; Ern, Alexandre; Mozolevski, Igor; Stamm, Benjamin 7 2007 Primal-dual mixed finite element methods for the elliptic Cauchy problem. Zbl 1408.65085Burman, Erik; Larson, Mats G.; Oksanen, Lauri 7 2018 Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. Zbl 1407.65180Burman, 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 1475.65186Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre 7 2021 Analysis of the PSPG method for the transient Stokes problem. Zbl 1230.76022Burman, Erik; Fernández, Miguel A. 6 2011 Adaptive finite element methods for compressible two-phase flow. Zbl 1018.76024Burman, E. 6 2000 Adaptive finite element methods for compressible flow. Zbl 0973.76040Burman, Erik 6 2000 Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123Burman, Erik; Ern, Alexandre 6 2012 Existence of solutions to an anisotropic phase-field model. Zbl 1032.35053Burman, Erik; Rappaz, Jacques 6 2003 Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149Boiveau, 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 1423.76214Burman, Erik 6 2015 A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Zbl 1382.65306Burman, Erik 5 2015 Continuous interior penalty \(hp\)-finite element methods for transport operators. Zbl 1119.65406Burman, Erik; Ern, Alexandre 5 2006 A continuous finite element method with face penalty to approximate Friedrichs’ systems. Zbl 1129.65083Burman, Erik; Ern, Alexandre 5 2007 Minimal stabilization for discontinuous Galerkin finite element methods for hyperbolic problems. Zbl 1132.65084Burman, E.; Stamm, B. 5 2007 Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment. Zbl 1133.65096Burman, Erik; Stamm, Benjamin 5 2008 Stabilized CutFEM for the convection problem on surfaces. Zbl 1407.65283Burman, 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 0867.76055Burman, Erik; Sainsaulieu, Lionel 4 1995 A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500Burman, Erik; He, Cuiyu; Larson, Mats G. 3 2022 Gradient jump penalty stabilisation of spectral/\( h p\) element discretisation for under-resolved turbulence simulations. Zbl 07442773Moura, 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 1475.65186Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre 7 2021 Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane 4 2021 A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. Zbl 1477.65185Ahmed, 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 07395696Burman, 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 1470.76029Burman, Erik; Fernández, Miguel A.; Frei, Stefan; Gerosa, Fannie M. 2 2021 A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102Burman, Erik; Fernández, Miguel A.; Frei, Stefan 9 2020 Dirichlet boundary value correction using Lagrange multipliers. Zbl 1431.65213Burman, 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 1437.65171Burman, Erik; Nechita, Mihai; Oksanen, Lauri 4 2020 A stabilized cut streamline diffusion finite element method for convection-diffusion problems on surfaces. Zbl 1441.76055Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André; Zahedi, Sara 4 2020 A fully discrete numerical control method for the wave equation. Zbl 1444.35110Burman, 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 1444.65065Barrenechea, Gabriel; Burman, Erik; Guzmán, Johnny 3 2020 A finite element data assimilation method for the wave equation. Zbl 1436.65132Burman, Erik; Feizmohammadi, Ali; Oksanen, Lauri 2 2020 A cut finite element method for a model of pressure in fractured media. Zbl 1473.65289Burman, 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 1439.65151Burman, 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 1445.35323Boulakia, Muriel; Burman, Erik; Fernández, Miguel A.; Voisembert, Colette 1 2020 Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. Zbl 07413174Burman, Erik; Christiansen, Snorre H.; Hansbo, Peter 1 2020 Cut finite elements for convection in fractured domains. Zbl 1411.76055Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl 10 2019 Unique continuation for the Helmholtz equation using stabilized finite element methods. Zbl 1429.35053Burman, Erik; Nechita, Mihai; Oksanen, Lauri 8 2019 Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. Zbl 1407.65180Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl; Massing, André 7 2019 Stabilized CutFEM for the convection problem on surfaces. Zbl 1407.65283Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara 5 2019 Augmented Lagrangian finite element methods for contact problems. Zbl 1422.65374Burman, Erik; Hansbo, Peter; Larson, Mats G. 4 2019 Hybridized CutFEM for elliptic interface problems. Zbl 1435.65193Burman, 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 1419.76434Burman, Erik; Hansbo, Peter; Larson, Mats G.; Samvin, David 3 2019 A simple finite element method for elliptic bulk problems with embedded surfaces. Zbl 1411.65151Burman, Erik; Hansbo, Peter; Larson, Mats G. 3 2019 Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions. Zbl 1441.74152Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl 3 2019 Boundary element methods with weakly imposed boundary conditions. Zbl 1416.65485Betcke, Timo; Burman, Erik; Scroggs, Matthew W. 1 2019 Primal dual mixed finite element methods for indefinite advection-diffusion equations. Zbl 1434.65239Burman, Erik; He, Cuiyu 1 2019 An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201Burman, Erik; Ern, Alexandre 22 2018 Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems. Zbl 1412.65204Burman, Erik; Guzmán, Johnny; Sánchez, Manuel A.; Sarkis, Marcus 19 2018 A cut finite element method with boundary value correction. Zbl 1380.65362Burman, Erik; Hansbo, Peter; Larson, Mats G. 18 2018 Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions. Zbl 1417.65199Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André 18 2018 Shape optimization using the cut finite element method. Zbl 1439.74316Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl 11 2018 Data assimilation for the heat equation using stabilized finite element methods. Zbl 1412.65111Burman, Erik; Oksanen, Lauri 10 2018 Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization. Zbl 1404.65253Burman, Erik; Hansbo, Peter; Larson, Mats G. 9 2018 Primal-dual mixed finite element methods for the elliptic Cauchy problem. Zbl 1408.65085Burman, Erik; Larson, Mats G.; Oksanen, Lauri 7 2018 Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats 6 2018 A cut finite element method with boundary value correction for the incompressible Stokes equations. Zbl 1425.76133Burman, Erik; Hansbo, Peter; Larson, Mats G. 3 2018 Stabilized nonconforming finite element methods for data assimilation in incompressible flows. Zbl 1404.76157Burman, 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 1395.65137Barrenechea, Gabriel R.; Burman, Erik; Karakatsani, Fotini 18 2017 A stabilized nonconforming finite element method for the elliptic Cauchy problem. Zbl 1351.65074Burman, 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 1448.65217Burman, Erik; Hansbo, Peter 13 2017 A cut discontinuous Galerkin method for the Laplace-Beltrami operator. Zbl 1433.65281Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André 13 2017 Software frameworks for integral equations in electromagnetic scattering based on Calderón identities. Zbl 1397.65309Scroggs, 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 1398.76097Burman, Erik; Ern, Alexandre; Fernández, Miguel A. 10 2017 The penalty-free Nitsche method and nonconforming finite elements for the Signorini problem. Zbl 1457.65183Burman, Erik; Hansbo, Peter; Larson, Mats G. 8 2017 Penalty-free Nitsche method for interface problems. Zbl 06881045Boiveau, Thomas; Burman, Erik; Claus, Susanne 3 2017 Galerkin least squares finite element method for the obstacle problem. Zbl 1439.74395Burman, 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 1439.65144Barrenechea, 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 1362.65096Burman, Erik 2 2017 Error estimates for transport problems with high Péclet number using a continuous dependence assumption. Zbl 1457.76097Burman, Erik; Santos, Isaac P. 1 2017 A cut finite element method for the Bernoulli free boundary value problem. Zbl 1439.65150Burman, 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 1439.76053Burman, Erik; Ern, Alexandre 1 2017 Cut finite element methods for coupled bulk-surface problems. Zbl 1341.65044Burman, 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 1364.65149Burman, 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 1433.74101Boiveau, Thomas; Burman, Erik 14 2016 Stabilised finite element methods for ill-posed problems with conditional stability. Zbl 1357.65254Burman, Erik 8 2016 A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. Zbl 1368.65248Cantin, Pierre; Bonelle, Jérôme; Burman, Erik; Ern, Alexandre 3 2016 Local CIP stabilization for composite finite elements. Zbl 1342.65212Burman, Erik; Schieweck, Friedhelm 2 2016 Full gradient stabilized cut finite element methods for surface partial differential equations. Zbl 1439.65152Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André; Zahedi, Sara 2 2016 CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604Burman, 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 1425.65152Burman, Erik; Hansbo, Peter; Larson, Mats G. 25 2015 A stabilized cut finite element method for the three field Stokes problem. Zbl 1326.76057Burman, 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 1423.76214Burman, Erik 6 2015 A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Zbl 1382.65306Burman, Erik 5 2015 Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437Burman, Erik; Hansbo, Peter 55 2014 An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Zbl 1423.74867Burman, 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 1297.65148Burman, Erik 23 2014 Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. Zbl 1352.74104Burman, Erik; Fernández, Miguel A. 18 2014 Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. II: Hyperbolic equations. Zbl 1457.65182Burman, Erik 18 2014 Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. Zbl 1288.65153Burman, Erik 8 2014 Robust error estimates in weak norms for advection dominated transport problems with rough data. Zbl 1317.65188Burman, Erik 3 2014 Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. Zbl 1286.65152Burman, Erik 24 2013 Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method. Zbl 1316.65099Burman, Erik; Hansbo, Peter 156 2012 A penalty-free nonsymmetric Nitsche-type method for the weak imposition of boundary conditions. Zbl 1262.65165Burman, Erik 37 2012 Numerical approximation of large contrast problems with the unfitted Nitsche method. Zbl 1248.65121Burman, Erik; Zunino, Paolo 19 2012 Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123Burman, Erik; Ern, Alexandre 6 2012 A hierarchical NXFEM for fictitious domain simulations. Zbl 1216.74018Becker, Roland; Burman, Erik; Hansbo, Peter 11 2011 Analysis of the space semi-discretized SUPG method for transient convection-diffusion equations. Zbl 1241.65098Burman, 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 1279.49019Burman, Erik 8 2011 Duality based a posteriori error estimation for quasi-periodic solutions using time averages. Zbl 1298.65146Braack, M.; Burman, E.; Taschenberger, N. 7 2011 Analysis of the PSPG method for the transient Stokes problem. Zbl 1230.76022Burman, Erik; Fernández, Miguel A. 6 2011 A finite element time relaxation method. Zbl 1305.76052Becker, Roland; Burman, Erik; Hansbo, Peter 2 2011 Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes. Zbl 1261.65114Burman, Erik; Stamm, Benjamin 1 2011 Ghost penalty. Zbl 1204.65142Burman, Erik 112 2010 Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method. Zbl 1231.65207Burman, Erik; Hansbo, Peter 98 2010 Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems. Zbl 1226.65086Burman, Erik; Ern, Alexandre; Fernández, Miguel A. 34 2010 Consistent SUPG-method for transient transport problems: stability and convergence. Zbl 1227.76047Burman, Erik 28 2010 Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems. Zbl 1201.65204Burman, Erik; Hansbo, Peter 26 2010 Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations. Zbl 1203.65247Burman, Erik; Quarteroni, Alfio; Stamm, Benjamin 9 2010 Bubble stabilized discontinuous Galerkin method for Stokes’ problem. Zbl 1191.65149Burman, Erik; Stamm, Benjamin 7 2010 Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems. Zbl 1207.65135Burman, Erik; Stamm, Benjamin 3 2010 Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276Hysing, 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 1229.76045Burman, Erik; Fernández, Miguel A. 72 2009 A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity. Zbl 1230.74169Becker, Roland; Burman, Erik; Hansbo, Peter 63 2009 Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation. Zbl 1228.76081Burman, Erik; Fernández, Miguel A. 22 2009 Galerkin finite element methods with symmetric pressure stabilization for the transient Stokes equations: stability and convergence analysis. Zbl 1391.76308Burman, Erik; Fernández, Miguel A. 20 2009 Low order discontinuous Galerkin methods for second order elliptic problems. Zbl 1190.65170Burman, E.; Stamm, B. 16 2009 ...and 47 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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