Erik Burman

Erik Burman

University College London

H-index: 47

Europe-United Kingdom

About Erik Burman

Erik Burman, With an exceptional h-index of 47 and a recent h-index of 35 (since 2020), a distinguished researcher at University College London, specializes in the field of Applied Mathematics, Numerical Analysis, Computational Mathematics, Scientific computing.

His recent articles reflect a diverse array of research interests and contributions to the field:

Solving the unique continuation problem for Schr\" odinger equations with low regularity solutions using a stabilized finite element method

Continuous interior penalty stabilization for divergence-free finite element methods

Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach

Attached and separated rotating flow over a finite height ridge

Coupling finite and boundary element methods to solve the Poisson–Boltzmann equation for electrostatics in molecular solvation

Computational unique continuation with finite dimensional Neumann trace

A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems

Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation

Erik Burman Information

University

Position

Chair of Computational Mathematics

Citations(all)

10161

Citations(since 2020)

5015

Cited By

7388

hIndex(all)

47

hIndex(since 2020)

35

i10Index(all)

144

i10Index(since 2020)

109

Email

University Profile Page

University College London

Google Scholar

View Google Scholar Profile

Erik Burman Skills & Research Interests

Applied Mathematics

Numerical Analysis

Computational Mathematics

Scientific computing

Top articles of Erik Burman

Title

Journal

Author(s)

Publication Date

Solving the unique continuation problem for Schr\" odinger equations with low regularity solutions using a stabilized finite element method

arXiv preprint arXiv:2403.16914

Erik Burman

Mingfei Lu

Lauri Oksanen

2024/3/25

Continuous interior penalty stabilization for divergence-free finite element methods

IMA Journal of Numerical Analysis

Gabriel R Barrenechea

Erik Burman

Ernesto Cáceres

Johnny Guzmán

2024/3

Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach

arXiv preprint arXiv:2207.04734

Erik Burman

Peter Hansbo

Mats G Larson

2022/7/11

Attached and separated rotating flow over a finite height ridge

arXiv preprint arXiv:2402.15615

Stefan Frei

Erik Burman

Edward R Johnson

2024/2/23

Coupling finite and boundary element methods to solve the Poisson–Boltzmann equation for electrostatics in molecular solvation

Journal of Computational Chemistry

Michał Bosy

Matthew W Scroggs

Timo Betcke

Erik Burman

Christopher D Cooper

2024/4/30

Computational unique continuation with finite dimensional Neumann trace

arXiv preprint arXiv:2402.13695

Erik Burman

Lauri Oksanen

Ziyao Zhao

2024/2/21

A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems

arXiv preprint arXiv:2404.01599

Erik Burman

Rebecca Durst

Miguel A Fernández

Johnny Guzmán

Sijing Liu

2024/4/2

Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation

ESAIM: Mathematical Modelling and Numerical Analysis

Erik Burman

Deepika Garg

Janosch Preuss

2024/1/1

Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method

arXiv preprint arXiv:2404.01594

Erik Burman

Rebecca Durst

Miguel A Fernández

Johnny Guzmán

Sijing Liu

2024/4/2

Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions

Mathematics of Computation

Erik Burman

Peter Hansbo

Mats Larson

2024/1

A stability estimate for data assimilation subject to the heat equation with initial datum

Comptes Rendus. Mathématique

Erik Burman

Guillaume Delay

Alexandre Ern

Lauri Oksanen

2023

Finite element approximation of unique continuation of functions with finite dimensional trace

arXiv preprint arXiv:2305.06800

Erik Burman

Lauri Oksanen

2023/5/11

Optimal finite element approximation of unique continuation

arXiv preprint arXiv:2311.07440

Erik Burman

Mihai Nechita

Lauri Oksanen

2023/11/13

Implicit-explicit time discretization for oseen’s equation at high reynolds number with application to fractional step methods

SIAM Journal on Numerical Analysis

Erik Burman

Deepika Garg

Johnny Guzman

2023/12/31

Extension operators for trimmed spline spaces

Computer Methods in Applied Mechanics and Engineering

Erik Burman

Peter Hansbo

Mats G Larson

Karl Larsson

2023/1/1

The augmented Lagrangian method as a framework for stabilised methods in computational mechanics

Erik Burman

Peter Hansbo

Mats G Larson

2023/5

The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method

SIAM Journal on Numerical Analysis

Erik Burman

Guillaume Delay

Alexandre Ern

2023/10/31

An abstract framework for heterogeneous coupling: stability, approximation and applications

arXiv preprint arXiv:2312.11733

Silvia Bertoluzza

Erik Burman

2023/12/18

Spacetime finite element methods for control problems subject to the wave equation

ESAIM: Control, Optimisation and Calculus of Variations

Erik Burman

Ali Feizmohammadi

Arnaud Münch

Lauri Oksanen

2023

Robin-Robin loose coupling for incompressible fluid-structure interaction: non-linear setting and nearly-optimal error analysis

Erik Burman

Rebecca Durst

Miguel Angel Fernández

Johnny Guzmán

Oscar Ruz

2023/10/25

See List of Professors in Erik Burman University(University College London)

Co-Authors

H-index: 45
Mats G Larson

Mats G Larson

Umeå universitet

H-index: 35
Paolo Zunino

Paolo Zunino

University of Pittsburgh

H-index: 34
Roland Becker

Roland Becker

Université de Pau et des Pays de l'Adour

H-index: 33
Johnny Guzman

Johnny Guzman

Brown University

H-index: 30
Marco Picasso

Marco Picasso

École Polytechnique Fédérale de Lausanne

H-index: 26
Malte Braack

Malte Braack

Christian-Albrechts-Universität zu Kiel

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