What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Geometry
N. Sukumar focuses on Finite element method, Mathematical analysis, Extended finite element method, Applied mathematics and Geometry.
His study of Smoothed finite element method is a part of Finite element method.
His work on Boundary value problem as part of general Mathematical analysis research is frequently linked to Gaussian quadrature and Gauss–Kronrod quadrature formula, bridging the gap between disciplines.
He combines subjects such as Mixed finite element method and Stress intensity factor with his study of Extended finite element method.
His Applied mathematics study also includes fields such as
- Regular polygon, which have a strong connection to Numerical integration, Galerkin method, Polytope and Polyhedron,
- Mathematical optimization which intersects with area such as Computational mathematics, Polygon mesh, Polygon, Volume mesh and Mesh generation.
His Geometry research is multidisciplinary, incorporating perspectives in Element, Classification of discontinuities, Numerical analysis and Partition of unity.
His most cited work include:
- Extended finite element method for three-dimensional crack modelling (849 citations)
- MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD (847 citations)
- Arbitrary branched and intersecting cracks with the eXtended Finite Element Method (731 citations)
What are the main themes of his work throughout his whole career to date?
N. Sukumar mostly deals with Finite element method, Mathematical analysis, Extended finite element method, Partition of unity and Geometry.
His work deals with themes such as Fracture mechanics and Fracture, which intersect with Finite element method.
Within one scientific family, N. Sukumar focuses on topics pertaining to Galerkin method under Mathematical analysis, and may sometimes address concerns connected to Basis function, Interpolation and Polygonal chain.
The study incorporates disciplines such as Laplace's equation, Mixed finite element method, Stress intensity factor and Neumann boundary condition in addition to Extended finite element method.
The Partition of unity study combines topics in areas such as Computational physics, ABINIT, Density functional theory and Schrödinger equation.
He studied Geometry and Numerical analysis that intersect with Discontinuous Galerkin method.
He most often published in these fields:
- Finite element method (50.00%)
- Mathematical analysis (39.34%)
- Extended finite element method (31.15%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (17.21%)
- Element (6.56%)
- Mathematical analysis (39.34%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Applied mathematics, Element, Mathematical analysis, Tetrahedron and Numerical integration.
N. Sukumar works mostly in the field of Applied mathematics, limiting it down to topics relating to Nonlinear system and, in certain cases, Bilinear form and Discretization, as a part of the same area of interest.
His Element research is multidisciplinary, relying on both Deformation, Geometry, Classification of discontinuities and Fracture.
Mathematical analysis is closely attributed to Extended finite element method in his research.
When carried out as part of a general Extended finite element method research project, his work on Spectral element method is frequently linked to work in Geomechanics, therefore connecting diverse disciplines of study.
His study on Numerical integration also encompasses disciplines like
- Boundary and related Partial differential equation, Boundary value problem and Transfinite interpolation,
- Regular polygon which is related to area like Affine transformation and Polytope.
Between 2017 and 2021, his most popular works were:
- Extended virtual element method for the Laplace problem with singularities and discontinuities (15 citations)
- Modeling curved interfaces without element‐partitioning in the extended finite element method (10 citations)
- Modeling branched and intersecting faults in reservoir-geomechanics models with the extended finite element method (4 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Geometry
His main research concerns Geometry, Element, Extended finite element method, Geology and Mathematical analysis.
His Geometry research incorporates elements of Penalty method, Finite element method and Deformation.
His study in Fracture extends to Element with its themes.
While working in this field, N. Sukumar studies both Extended finite element method and Geomechanics.
His study in Mathematical analysis is interdisciplinary in nature, drawing from both Projection, Matrix and Stiffness matrix.
As part of one scientific family, N. Sukumar deals mainly with the area of Projection, narrowing it down to issues related to the Basis function, and often Applied mathematics.
This overview was generated by a machine learning system which analysed the scientist’s
body of work. If you have any feedback, you can
contact us
here.
