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ORCIDErik Burman
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2020 – today
- 2025
[i54]Erik Burman, Peter Hansbo, Mats G. Larson:
Hybridized Augmented Lagrangian Methods for Contact Problems. CoRR abs/2501.16882 (2025)- [i53]Erik Burman, Buyang Li, Rong Tang:
Dynamic Ritz Projection for Finite Element Methods in Fluid-Structure Interaction. CoRR abs/2502.16967 (2025) - 2024
- [j68]Erik Burman
, Peter Hansbo, Mats G. Larson:
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach. SIAM J. Numer. Anal. 62(2): 893-918 (2024) - [j67]Silvia Bertoluzza, Erik Burman, Cuiyu He:
WAN Discretization of PDEs: Best Approximation, Stabilization, and Essential Boundary Conditions. SIAM J. Sci. Comput. 46(6): 688- (2024) - [i52]Erik Burman, Lauri Oksanen, Ziyao Zhao:
Computational unique continuation with finite dimensional Neumann trace. CoRR abs/2402.13695 (2024) - [i51]Stefan Frei, Erik Burman, Edward R. Johnson:
Attached and separated rotating flow over a finite height ridge. CoRR abs/2402.15615 (2024) - [i50]Erik Burman, Mingfei Lu, Lauri Oksanen:
Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method. CoRR abs/2403.16914 (2024) - [i49]Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu:
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method. CoRR abs/2404.01594 (2024) - [i48]Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu:
A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems. CoRR abs/2404.01599 (2024) - [i47]Erik Burman, Janosch Preuß:
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization. CoRR abs/2405.04615 (2024) - [i46]Erik Burman, Deepika Garg, Johnny Guzmán:
Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number. CoRR abs/2405.12562 (2024) - [i45]Erik Burman, Mingfei Lu:
On inf-sup stability and optimal convergence of the quasi-reversibility method for unique continuation subject to Poisson's equation. CoRR abs/2409.20448 (2024) - [i44]Erik Burman, Mats G. Larson, Karl Larsson, Carl Lundholm:
Stabilizing and Solving Inverse Problems using Data and Machine Learning. CoRR abs/2412.04409 (2024) - 2023
- [j66]Michal Bosy, Matthew W. Scroggs, Timo Betcke, Erik Burman, Christopher D. Cooper:
Coupling finite and boundary element methods to solve the Poisson-Boltzmann equation for electrostatics in molecular solvation. J. Comput. Chem. 45(11): 787-797 (2023) - [j65]Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán:
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. J. Num. Math. 31(1): 59-77 (2023) - [j64]Erik Burman, Peter Hansbo, Mats G. Larson:
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions. Math. Comput. 93(345): 35-54 (2023) - [j63]Erik Burman, Guillaume Delay, Alexandre Ern:
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method. SIAM J. Numer. Anal. 61(5): 2534-2557 (2023) - [j62]Erik Burman, Deepika Garg, Johnny Guzmán:
Implicit-Explicit Time Discretization for Oseen's Equation at High Reynolds Number with Application to Fractional Step Methods. SIAM J. Numer. Anal. 61(6): 2859-2886 (2023) - [j61]Erik Burman:
Some Observations on the Interaction Between Linear and Nonlinear Stabilization for Continuous Finite Element Methods Applied to Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 45(1): 96- (2023) - [i43]Erik Burman, Deepika Garg, Janosch Preuß:
Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation. CoRR abs/2301.05600 (2023) - [i42]Erik Burman:
A primal dual mixed finite element method for inverse identification of the diffusion coefficient and its relation to the Kohn-Vogelius penalty method. CoRR abs/2304.10467 (2023) - [i41]Erik Burman, Lauri Oksanen:
Finite element approximation of unique continuation of functions with finite dimensional trace. CoRR abs/2305.06800 (2023) - [i40]Silvia Bertoluzza, Erik Burman, Cuiyu He:
Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs. CoRR abs/2307.05012 (2023) - [i39]Erik Burman, Janosch Preuß:
Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements. CoRR abs/2307.05210 (2023) - [i38]Erik Burman, Mihai Nechita, Lauri Oksanen:
Optimal finite element approximation of unique continuation. CoRR abs/2311.07440 (2023) - [i37]Silvia Bertoluzza, Erik Burman:
An abstract framework for heterogeneous coupling: stability, approximation and applications. CoRR abs/2312.11733 (2023) - 2022
- [j60]Erik Burman, Riccardo Puppi:
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. J. Num. Math. 30(2): 141-162 (2022) - [j59]Timo Betcke, Michal Bosy, Erik Burman:
Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection. Numer. Algorithms 91(3): 997-1019 (2022) - [j58]Erik Burman, Stefan Frei, André Massing:
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. Numerische Mathematik 150(2): 423-478 (2022) - [j57]Erik Burman, Mihai Nechita, Lauri Oksanen:
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime. Numerische Mathematik 150(3): 769-801 (2022) - [j56]Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán:
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. Numerische Mathematik 151(4): 807-840 (2022) - [j55]Erik Burman, Peter Hansbo, Mats G. Larson:
CutFEM based on extended finite element spaces. Numerische Mathematik 152(2): 331-369 (2022) - [j54]Silvia Bertoluzza, Erik Burman, Cuiyu He:
An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights. SIAM J. Numer. Anal. 60(1): 475-501 (2022) - [j53]Erik Burman, Peter Hansbo, Mats G. Larson:
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension. SIAM J. Sci. Comput. 44(3): 1254- (2022) - [j52]Timo Betcke, Erik Burman, Matthew W. Scroggs:
Boundary Element Methods for Helmholtz Problems With Weakly Imposed Boundary Conditions. SIAM J. Sci. Comput. 44(5): 2895- (2022) - [i36]Erik Burman, Peter Hansbo, Mats G. Larson:
On the Design of Locking Free Ghost Penalty Stabilization and the Relation to CutFEM with Discrete Extension. CoRR abs/2205.01340 (2022) - [i35]Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres, Johnny Guzmán:
Continuous Interior Penalty stabilization for divergence-free finite element methods. CoRR abs/2205.06373 (2022) - [i34]Erik Burman, Peter Hansbo, Mats G. Larson, Karl Larsson:
Extension Operators for Trimmed Spline Spaces. CoRR abs/2205.06543 (2022) - [i33]Erik Burman, Peter Hansbo, Mats G. Larson:
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics. CoRR abs/2207.00294 (2022) - [i32]Erik Burman, Peter Hansbo, Mats G. Larson:
Cut finite element method for divergence free approximation of incompressible flow: optimal error estimates and pressure independence. CoRR abs/2207.04734 (2022) - [i31]Erik Burman, Janosch Preuß:
Unique continuation for the Lamé system using stabilized finite element methods. CoRR abs/2212.05792 (2022) - 2021
- [j51]Erik Burman, Omar Durán, Alexandre Ern, Morgane Steins:
Convergence Analysis of Hybrid High-Order Methods for the Wave Equation. J. Sci. Comput. 87(3): 91 (2021) - [j50]Erik Burman, Cuiyu He, Mats G. Larson:
Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem. J. Sci. Comput. 88(2): 35 (2021) - [j49]Erik Burman, Guillaume Delay, Alexandre Ern:
A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation. SIAM J. Numer. Anal. 59(5): 2368-2392 (2021) - [j48]Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon:
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. SIAM J. Numer. Anal. 59(5): 2746-2774 (2021) - [j47]Erik Burman, Matteo Cicuttin, Guillaume Delay, Alexandre Ern:
An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems. SIAM J. Sci. Comput. 43(2): A859-A882 (2021) - [i30]Erik Burman, Peter Hansbo, Mats G. Larson:
CutFEM Based on Extended Finite Element Spaces. CoRR abs/2101.10052 (2021) - [i29]Erik Burman, Peter Hansbo, Mats G. Larson:
Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization. CoRR abs/2102.00043 (2021) - [i28]Erik Burman, Miguel A. Fernández, Stefan Frei, Fannie M. Gerosa:
A mechanically consistent model for fluid-structure interactions with contact including seepage. CoRR abs/2103.11243 (2021) - [i27]Erik Burman, Riccardo Puppi:
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. CoRR abs/2104.01366 (2021) - [i26]Erik Burman:
Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps. CoRR abs/2104.06880 (2021) - [i25]Timo Betcke, Michal Bosy, Erik Burman:
Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection. CoRR abs/2106.01720 (2021) - [i24]Erik Burman, Ali Feizmohammadi, Arnaud Münch, Lauri Oksanen:
Spacetime finite element methods for control problems subject to the wave equation. CoRR abs/2109.07890 (2021) - [i23]Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán:
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. CoRR abs/2110.08181 (2021) - 2020
- [j46]Erik Burman, Peter Hansbo, Mats G. Larson:
Cut Bogner-Fox-Schmit elements for plates. Adv. Model. Simul. Eng. Sci. 7(1): 27 (2020) - [j45]Erik Burman, Ali Feizmohammadi, Lauri Oksanen:
A finite element data assimilation method for the wave equation. Math. Comput. 89(324): 1681-1709 (2020) - [j44]Erik Burman, Mihai Nechita, Lauri Oksanen:
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime. Numerische Mathematik 144(3): 451-477 (2020) - [j43]Erik Burman, Peter Hansbo, Mats G. Larson:
A cut finite element method for a model of pressure in fractured media. Numerische Mathematik 146(4): 783-818 (2020) - [j42]Erik Burman, Ali Feizmohammadi, Lauri Oksanen:
A Fully Discrete Numerical Control Method for the Wave Equation. SIAM J. Control. Optim. 58(3): 1519-1546 (2020) - [j41]Erik Burman, Stefan Frei, Matthew W. Scroggs:
Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method. SIAM J. Numer. Anal. 58(4): 2334-2350 (2020) - [i22]Erik Burman, Snorre Christiansen, Peter Hansbo:
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. CoRR abs/2003.10746 (2020) - [i21]Timo Betcke, Erik Burman, Matthew W. Scroggs:
Boundary element methods for Helmholtz problems with weakly imposed boundary conditions. CoRR abs/2004.13424 (2020) - [i20]Erik Burman, Peter Hansbo, Mats G. Larson:
A cut finite element method for a model of pressure in fractured media. CoRR abs/2006.01521 (2020) - [i19]Erik Burman, Mihai Nechita, Lauri Oksanen:
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime. CoRR abs/2006.13201 (2020) - [i18]Erik Burman, Peter Hansbo, Mats G. Larson:
Low Regularity Estimates for CutFEM Approximations of an Elliptic Problem with Mixed Boundary Conditions. CoRR abs/2007.02562 (2020) - [i17]Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán:
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. CoRR abs/2007.03846 (2020) - [i16]Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon:
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation. CoRR abs/2007.04012 (2020) - [i15]Silvia Bertoluzza, Erik Burman, Cuiyu He:
An a posteriori error estimate of the outer normal derivative using dual weights. CoRR abs/2008.07690 (2020) - [i14]Erik Burman, J. J. J. Gillissen, Lauri Oksanen:
Stability estimate for scalar image velocimetry. CoRR abs/2008.09451 (2020) - [i13]Erik Burman, Cuiyu He, Mats G. Larson:
Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem. CoRR abs/2008.09668 (2020) - [i12]Erik Burman, Peter Hansbo, Mats G. Larson:
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension. CoRR abs/2011.05386 (2020) - [i11]Erik Burman, Johnny Guzmán:
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. CoRR abs/2012.05727 (2020)
2010 – 2019
- 2019
- [j40]Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi:
Stabilized CutFEM for the convection problem on surfaces. Numerische Mathematik 141(1): 103-139 (2019) - [j39]Erik Burman, Peter Hansbo, Mats G. Larson, Karl Larsson, André Massing:
Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. Numerische Mathematik 141(1): 141-172 (2019) - [j38]Erik Burman, Cuiyu He:
Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations. SIAM J. Numer. Anal. 57(6): 2785-2811 (2019) - [j37]Timo Betcke, Erik Burman, Matthew W. Scroggs:
Boundary Element Methods with Weakly Imposed Boundary Conditions. SIAM J. Sci. Comput. 41(3): A1357-A1384 (2019) - [j36]Erik Burman, Daniel Elfverson, Peter Hansbo, Mats G. Larson, Karl Larsson:
Hybridized CutFEM for Elliptic Interface Problems. SIAM J. Sci. Comput. 41(5): A3354-A3380 (2019) - [c3]Erik Burman, Miguel A. Fernández, Stefan Frei, Fannie M. Gerosa:
3D-2D Stokes-Darcy Coupling for the Modelling of Seepage with an Application to Fluid-Structure Interaction with Contact. ENUMATH 2019: 215-223 - [c2]Erik Burman, Guillaume Delay, Alexandre Ern:
The Unfitted HHO Method for the Stokes Problem on Curved Domains. ENUMATH 2019: 389-397 - [c1]Erik Burman, Peter Hansbo, Mats G. Larson:
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. ENUMATH 2019: 509-519 - [i10]Erik Burman, Cuiyu He, Mats G. Larson:
A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method. CoRR abs/1906.00879 (2019) - [i9]Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán:
L2-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow. CoRR abs/1907.05699 (2019) - [i8]Erik Burman, Stefan Frei, Matthew W. Scroggs:
Weak imposition of Signorini boundary conditions on the boundary element method. CoRR abs/1908.05580 (2019) - [i7]Erik Burman, Stefan Frei, André Massing:
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. CoRR abs/1910.03054 (2019) - [i6]Erik Burman, Mats G. Larson, Peter Hansbo:
Cut Bogner-Fox-Schmit Elements for Plates. CoRR abs/1911.00239 (2019) - [i5]Erik Burman, Rebecca Durst, Johnny Guzmán:
Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem. CoRR abs/1911.06760 (2019) - [i4]Erik Burman, Ali Feizmohammadi, Arnaud Münch, Lauri Oksanen:
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. CoRR abs/1912.00891 (2019) - [i3]Erik Burman, Peter Hansbo, Mats G. Larson:
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries. CoRR abs/1912.07013 (2019) - [i2]Erik Burman, Miguel A. Fernández, Stefan Frei, Fannie M. Gerosa:
3D-2D Stokes-Darcy coupling for the modelling of seepage with an application to fluid-structure interaction with contact. CoRR abs/1912.08503 (2019) - 2018
- [j35]Thomas Boiveau, Erik Burman, Susanne Claus, Mats G. Larson:
Fictitious domain method with boundary value correction using penalty-free Nitsche method. J. Num. Math. 26(2): 77-95 (2018) - [j34]Erik Burman, Peter Hansbo, Mats G. Larson:
A cut finite element method with boundary value correction. Math. Comput. 87(310): 633-657 (2018) - [j33]Erik Burman, Peter Hansbo:
Stabilized nonconforming finite element methods for data assimilation in incompressible flows. Math. Comput. 87(311): 1029-1050 (2018) - [j32]Erik Burman, Lauri Oksanen:
Data assimilation for the heat equation using stabilized finite element methods. Numerische Mathematik 139(3): 505-528 (2018) - [j31]Erik Burman, Alexandre Ern:
An Unfitted Hybrid High-Order Method for Elliptic Interface Problems. SIAM J. Numer. Anal. 56(3): 1525-1546 (2018) - [j30]Erik Burman, Mats G. Larson, Lauri Oksanen:
Primal-Dual Mixed Finite Element Methods for the Elliptic Cauchy Problem. SIAM J. Numer. Anal. 56(6): 3480-3509 (2018) - [i1]Erik Burman, Peter Hansbo, Mats G. Larson, André Massing, Sara Zahedi:
A Stabilized Cut Streamline Diffusion Finite Element Method for Convection-Diffusion Problems on Surfaces. CoRR abs/1807.01480 (2018) - 2017
- [j29]Matthew W. Scroggs, Timo Betcke, Erik Burman, Wojciech Smigaj, Elwin van't Wout:
Software frameworks for integral equations in electromagnetic scattering based on Calderón identities. Comput. Math. Appl. 74(11): 2897-2914 (2017) - [j28]Erik Burman, Isaac P. Santos:
Error estimates for transport problems with high Péclet number using a continuous dependence assumption. J. Comput. Appl. Math. 309: 267-286 (2017) - [j27]Erik Burman:
A stabilized nonconforming finite element method for the elliptic Cauchy problem. Math. Comput. 86(303): 75-96 (2017) - [j26]Gabriel R. Barrenechea, Erik Burman, Fotini Karakatsani:
Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes. Numerische Mathematik 135(2): 521-545 (2017) - [j25]Erik Burman, Peter Hansbo, Mats G. Larson:
The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem. SIAM J. Numer. Anal. 55(6): 2523-2539 (2017) - 2016
- [j24]Pierre Cantin, Jérôme Bonelle, Erik Burman, Alexandre Ern:
A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. Comput. Math. Appl. 72(9): 2057-2071 (2016) - [j23]Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi:
Cut finite element methods for coupled bulk-surface problems. Numerische Mathematik 133(2): 203-231 (2016) - [j22]Erik Burman, Friedhelm Schieweck:
Local CIP Stabilization for Composite Finite Elements. SIAM J. Numer. Anal. 54(3): 1967-1992 (2016) - 2015
- [j21]Erik Burman:
A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Appl. Math. Lett. 49: 141-146 (2015) - [j20]Erik Burman, Susanne Claus, André Massing:
A Stabilized Cut Finite Element Method for the Three Field Stokes Problem. SIAM J. Sci. Comput. 37(4) (2015) - 2014
- [j19]Erik Burman:
Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part II: Hyperbolic Equations. SIAM J. Sci. Comput. 36(4) (2014) - 2013
- [j18]Erik Burman:
Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations. SIAM J. Sci. Comput. 35(6) (2013) - 2012
- [j17]Erik Burman:
A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions. SIAM J. Numer. Anal. 50(4): 1959-1981 (2012) - 2011
- [j16]Malte Braack, Erik Burman, Nico Taschenberger:
Duality Based A Posteriori Error Estimation for Quasi-Periodic Solutions Using Time Averages. SIAM J. Sci. Comput. 33(5): 2199-2216 (2011) - 2010
- [j15]Erik Burman, Alfio Quarteroni, Benjamin Stamm:
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations. J. Sci. Comput. 43(3): 293-312 (2010) - [j14]Erik Burman, Benjamin Stamm:
Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems. Numerische Mathematik 116(2): 213-241 (2010) - [j13]Erik Burman, Alexandre Ern, Miguel A. Fernández:
Explicit Runge-Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems. SIAM J. Numer. Anal. 48(6): 2019-2042 (2010)
2000 – 2009
- 2009
- [j12]Erik Burman:
A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation. SIAM J. Numer. Anal. 47(5): 3584-3607 (2009) - 2008
- [j11]Erik Burman, Miguel A. Fernández:
Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis. SIAM J. Numer. Anal. 47(1): 409-439 (2008) - [j10]Erik Burman, Benjamin Stamm:
Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems. SIAM J. Numer. Anal. 47(1): 508-533 (2008) - [j9]Andrea Bonito, Erik Burman:
A Continuous Interior Penalty Method for Viscoelastic Flows. SIAM J. Sci. Comput. 30(3): 1156-1177 (2008) - 2007
- [j8]Erik Burman, Benjamin Stamm:
Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems. J. Sci. Comput. 33(2): 183-208 (2007) - [j7]Erik Burman, Alexandre Ern:
Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations. Math. Comput. 76(259): 1119-1140 (2007) - [j6]Erik Burman, Miguel A. Fernández:
Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence. Numerische Mathematik 107(1): 39-77 (2007) - 2006
- [j5]Malte Braack, Erik Burman:
Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method. SIAM J. Numer. Anal. 43(6): 2544-2566 (2006) - [j4]Erik Burman, Miguel A. Fernández, Peter Hansbo:
Continuous Interior Penalty Finite Element Method for Oseen's Equations. SIAM J. Numer. Anal. 44(3): 1248-1274 (2006) - [j3]Erik Burman, Paolo Zunino:
A Domain Decomposition Method Based on Weighted Interior Penalties for Advection-Diffusion-Reaction Problems. SIAM J. Numer. Anal. 44(4): 1612-1638 (2006) - 2005
- [j2]Erik Burman, Alexandre Ern:
Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence. Math. Comput. 74(252): 1637-1652 (2005) - [j1]Erik Burman:
A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty. SIAM J. Numer. Anal. 43(5): 2012-2033 (2005)
Coauthor Index
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