What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Composite material
- Mathematical analysis
Timon Rabczuk mainly focuses on Mathematical analysis, Fracture mechanics, Structural engineering, Finite element method and Extended finite element method.
The study incorporates disciplines such as Geometry, Shell, Finite strain theory and Meshfree methods in addition to Mathematical analysis.
His Fracture mechanics research is multidisciplinary, incorporating elements of Multiscale modeling, Mechanics, Regularization and Local mesh refinement.
His Structural engineering research integrates issues from Vibration and Imaging phantom.
His Finite element method research includes themes of Smoothing, Algorithm and Applied mathematics.
His Extended finite element method research is multidisciplinary, incorporating perspectives in Quadrilateral, Mixed finite element method, Piezoelectricity, Fracture and Discretization.
His most cited work include:
- Cracking particles: A simplified meshfree method for arbitrary evolving cracks (872 citations)
- Review: Meshless methods: A review and computer implementation aspects (821 citations)
- A three dimensional large deformation meshfree method for arbitrary evolving cracks (663 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Finite element method, Mathematical analysis, Composite material, Structural engineering and Applied mathematics.
The Finite element method study combines topics in areas such as Discretization, Algorithm and Smoothing.
His work carried out in the field of Mathematical analysis brings together such families of science as Geometry, Isogeometric analysis, Shell and Partition of unity.
Timon Rabczuk has included themes like Graphene and Molecular dynamics in his Composite material study.
Particularly relevant to Fracture mechanics is his body of work in Structural engineering.
His Applied mathematics research incorporates themes from Mathematical optimization and Nonlinear system.
He most often published in these fields:
- Finite element method (19.79%)
- Mathematical analysis (18.12%)
- Composite material (18.83%)
What were the highlights of his more recent work (between 2019-2021)?
- Finite element method (19.79%)
- Applied mathematics (14.06%)
- Boundary value problem (6.08%)
In recent papers he was focusing on the following fields of study:
Timon Rabczuk mostly deals with Finite element method, Applied mathematics, Boundary value problem, Composite material and Isogeometric analysis.
His Finite element method study incorporates themes from Flexural strength, Uniaxial tension and Multiscale modeling.
In his study, Buckling is strongly linked to Artificial neural network, which falls under the umbrella field of Applied mathematics.
His research on Composite material often connects related areas such as Vibration.
His Isogeometric analysis research incorporates themes from Discretization, Mathematical analysis, Flexoelectricity, Topology optimization and Nonlinear system.
Timon Rabczuk has researched Nonlinear system in several fields, including Structural engineering and Mechanics.
Between 2019 and 2021, his most popular works were:
- An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications (129 citations)
- Three-dimensional mesoscale computational modeling of soil-rock mixtures with concave particles (63 citations)
- Transfer learning enhanced physics informed neural network for phase-field modeling of fracture (44 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Composite material
- Artificial intelligence
His primary areas of investigation include Boundary value problem, Finite element method, Applied mathematics, Density functional theory and Machine learning.
His Boundary value problem study combines topics in areas such as Vibration, Partial differential equation, Material properties, Numerical integration and Mechanics.
Timon Rabczuk combines subjects such as Acoustics, Ultimate tensile strength, Plasticity, Benchmark and Discretization with his study of Finite element method.
Timon Rabczuk has included themes like Energy functional, System of linear equations, Variational principle, Isogeometric analysis and Partial derivative in his Applied mathematics study.
His work carried out in the field of Density functional theory brings together such families of science as Phonon, Thermal, Graphene and Molecular dynamics.
His research integrates issues of Mathematical analysis and Timoshenko beam theory in his study of Composite material.
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.
