What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Finite element method
- Geometry
His primary areas of investigation include Finite element method, Mathematical analysis, Galerkin method, Penalty method and Geometry.
His Finite element method research integrates issues from Partial differential equation, Numerical stability, Applied mathematics, Discretization and Incompressible flow.
His Partial differential equation study deals with Mixed finite element method intersecting with Smoothed finite element method and Meshfree methods.
In the subject of general Mathematical analysis, his work in Fictitious domain method is often linked to Elasticity, thereby combining diverse domains of study.
His Galerkin method study incorporates themes from Limit, Element, Maximum principle, Numerical analysis and Discontinuous Galerkin method.
In his study, Matrix, Finite volume method, Reynolds number, Upper and lower bounds and Condition number is inextricably linked to Boundary value problem, which falls within the broad field of Geometry.
His most cited work include:
- CutFEM: Discretizing geometry and partial differential equations (329 citations)
- Quantitative benchmark computations of two-dimensional bubble dynamics (316 citations)
- Fictitious domain finite element methods using cut elements (257 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Finite element method, Mathematical analysis, Applied mathematics, Discretization and Numerical analysis.
In general Finite element method, his work in Mixed finite element method is often linked to A priori and a posteriori linking many areas of study.
Erik Burman interconnects Navier–Stokes equations, Galerkin method, Stability and Discontinuous Galerkin method in the investigation of issues within Mathematical analysis.
His Applied mathematics research incorporates elements of Geometry, Polygon mesh, Order, Norm and Mathematical optimization.
His research in Discretization focuses on subjects like Space, which are connected to Laplace operator.
His studies in Numerical analysis integrate themes in fields like Conservation law and Relaxation.
He most often published in these fields:
- Finite element method (64.50%)
- Mathematical analysis (63.91%)
- Applied mathematics (32.54%)
What were the highlights of his more recent work (between 2018-2021)?
- Applied mathematics (32.54%)
- Finite element method (64.50%)
- Mathematical analysis (63.91%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Applied mathematics, Finite element method, Mathematical analysis, Boundary and Discretization.
Erik Burman has included themes like Wave equation, Polygon mesh and Order in his Applied mathematics study.
Erik Burman integrates many fields, such as Finite element method and Eulerian path, in his works.
Erik Burman has researched Mathematical analysis in several fields, including Convection, Compressibility, Stability, Scalar and Reynolds number.
His research in Boundary intersects with topics in Fluid–structure interaction, Mechanics, Boundary value problem and Augmented Lagrangian method.
His biological study spans a wide range of topics, including Space and Piecewise affine.
Between 2018 and 2021, his most popular works were:
- Cut Finite Elements for Convection in Fractured Domains (11 citations)
- Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. (7 citations)
- An unfitted hybrid high-order method for the Stokes interface problem (6 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Geometry
Erik Burman mainly focuses on Mathematical analysis, Finite element method, Applied mathematics, Boundary value problem and Polygon mesh.
The Mathematical analysis study combines topics in areas such as Compressibility, Continuum mechanics and Piecewise affine.
Erik Burman combines Finite element method and Commutator in his studies.
His Boundary value problem study integrates concerns from other disciplines, such as Boundary, System of linear equations and Stability.
His Polygon mesh study combines topics in areas such as Norm and Robustness.
His studies deal with areas such as Type, Pressure gradient, Residual, Reynolds number and Least squares as well as Discretization.
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