What is he best known for?
The fields of study he is best known for:
- Finite element method
- Mathematical analysis
- Thermodynamics
Gui-Rong Liu spends much of his time researching Finite element method, Mathematical analysis, Numerical analysis, Smoothed finite element method and Geometry.
His research in Finite element method intersects with topics in Smoothing, Discretization and Applied mathematics.
His work in Mathematical analysis covers topics such as Radial basis function which are related to areas like Polynomial basis.
His work carried out in the field of Numerical analysis brings together such families of science as Mechanics, Exact solutions in general relativity, Meshfree methods, Tetrahedron and Upper and lower bounds.
His study in Smoothed finite element method is interdisciplinary in nature, drawing from both Stiffness matrix and Mixed finite element method.
His Geometry study combines topics from a wide range of disciplines, such as Quadrilateral, Penalty method, Vibration, Deflection and Variational principle.
His most cited work include:
- Smoothed Particle Hydrodynamics: A Meshfree Particle Method (1225 citations)
- Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments (929 citations)
- A point interpolation meshless method based on radial basis functions (727 citations)
What are the main themes of his work throughout his whole career to date?
Gui-Rong Liu mainly investigates Finite element method, Mathematical analysis, Numerical analysis, Smoothed finite element method and Smoothing.
The concepts of his Finite element method study are interwoven with issues in Upper and lower bounds, Geometry and Applied mathematics.
His study looks at the relationship between Applied mathematics and topics such as Mathematical optimization, which overlap with Algorithm.
His Mathematical analysis study incorporates themes from Solid mechanics and Displacement.
His Numerical analysis research incorporates themes from Structural engineering and Mechanics.
His research investigates the connection between Smoothed finite element method and topics such as Mixed finite element method that intersect with problems in Extended finite element method.
He most often published in these fields:
- Finite element method (59.77%)
- Mathematical analysis (52.46%)
- Numerical analysis (36.29%)
What were the highlights of his more recent work (between 2015-2021)?
- Finite element method (59.77%)
- Smoothing (29.40%)
- Smoothed finite element method (29.68%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Finite element method, Smoothing, Smoothed finite element method, Applied mathematics and Mechanics.
His biological study spans a wide range of topics, including Upper and lower bounds, Mathematical analysis and Solid mechanics.
Gui-Rong Liu has included themes like Incompressible flow and Compressibility in his Mathematical analysis study.
The Smoothing study combines topics in areas such as Computational fluid dynamics and Boundary.
His studies in Smoothed finite element method integrate themes in fields like Quadrilateral, Stiffness matrix and Algorithm, Computation.
Gui-Rong Liu combines subjects such as Interpolation, Probabilistic logic, Mesh generation, Mathematical optimization and Numerical analysis with his study of Applied mathematics.
Between 2015 and 2021, his most popular works were:
- Smoothed Finite Element Methods (S-FEM): An Overview and Recent Developments (104 citations)
- An Overview on Meshfree Methods: For Computational Solid Mechanics (77 citations)
- A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh (49 citations)
In his most recent research, the most cited papers focused on:
- Thermodynamics
- Finite element method
- Mathematical analysis
Gui-Rong Liu focuses on Finite element method, Applied mathematics, Smoothing, Smoothed finite element method and Upper and lower bounds.
His Finite element method research is multidisciplinary, relying on both Discretization and Mathematical analysis.
His Applied mathematics research is multidisciplinary, incorporating perspectives in Probabilistic analysis of algorithms, Interpolation, Mesh generation, Mathematical optimization and Numerical analysis.
His Smoothing research includes elements of Stiffness matrix, Boundary, Instability and Smoothed-particle hydrodynamics.
His studies deal with areas such as Quadrilateral, System of linear equations, Mechanics, Computation and Solver as well as Smoothed finite element method.
His work deals with themes such as Solid mechanics and Node, which intersect with Upper and lower bounds.
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