His scientific interests lie mostly in Boundary element method, Mathematical analysis, Integral equation, Fast multipole method and Composite material. His research in Boundary element method intersects with topics in Fiber-reinforced composite, Degrees of freedom, Computational science, Potential theory and Calculus. The Mathematical analysis study combines topics in areas such as Elasticity, Thin film and Acoustic wave.
Yijun Liu combines subjects such as Helmholtz equation and Computational physics with his study of Acoustic wave. His research investigates the connection with Integral equation and areas like Geometry which intersect with concerns in Boundary integral equations, Scattering theory and Fissure. Finite element method and Continuum mechanics is closely connected to Material properties in his research, which is encompassed under the umbrella topic of Stiffness.
His primary scientific interests are in Boundary element method, Mathematical analysis, Fast multipole method, Composite material and Integral equation. His Boundary element method research incorporates themes from Singular integral, Geometry and Applied mathematics. As part of one scientific family, Yijun Liu deals mainly with the area of Mathematical analysis, narrowing it down to issues related to the Scattering, and often Computation and Line integral.
His research integrates issues of Transverse plane and Finite element method in his study of Composite material. As part of the same scientific family, he usually focuses on Carbon nanotube, concentrating on Nanocomposite and intersecting with Continuum mechanics. The concepts of his Stiffness study are interwoven with issues in Representative elementary volume and Material properties.
Yijun Liu mainly investigates Boundary element method, Mathematical analysis, Discretization, Fast multipole method and Displacement. Boundary integral equations is the focus of his Boundary element method research. His work carried out in the field of Mathematical analysis brings together such families of science as Geometry, Elasticity, Deflection and Constant.
His studies in Discretization integrate themes in fields like Singular integral, Quadratic equation, Acoustic wave, Traction and Position. Yijun Liu works mostly in the field of Displacement, limiting it down to topics relating to Domain and, in certain cases, Classification of discontinuities and Heat flux, as a part of the same area of interest. His study in System of linear equations is interdisciplinary in nature, drawing from both Peridynamics, Stiffness and Stiff equation.
Yijun Liu spends much of his time researching Boundary element method, Mathematical analysis, Discretization, Fast multipole method and System of linear equations. His research ties Calculus and Boundary element method together. Yijun Liu has included themes like Quadratic equation, Displacement, Reduction and Degrees of freedom in his Mathematical analysis study.
His work deals with themes such as Computational complexity theory, Line integral and Linear system, which intersect with Discretization. Yijun Liu interconnects Linear elasticity and Stress intensity factor in the investigation of issues within Geometry. His Finite element method research is multidisciplinary, relying on both Finite difference method and Applied mathematics.
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Fast multipole boundary element method : theory and applications in engineering
Evaluations of the effective material properties of carbon nanotube-based composites using a nanoscale representative volume element
Y.J Liu;X.L Chen.
Mechanics of Materials (2003)
Square representative volume elements for evaluating the effective material properties of carbon nanotube-based composites
X.L. Chen;Y.J. Liu.
Computational Materials Science (2004)
The fast multipole boundary element method for potential problems: A tutorial
Y.J. Liu;N. Nishimura.
Engineering Analysis With Boundary Elements (2006)
Revolutionizing biodegradable metals
Yeoheung Yun;Zhongyun Dong;Namheon Lee;Yijun Liu.
Materials Today (2009)
ANALYSIS OF SHELL-LIKE STRUCTURES BY THE BOUNDARY ELEMENT METHOD BASED ON 3-D ELASTICITY: FORMULATION AND VERIFICATION
International Journal for Numerical Methods in Engineering (1998)
A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems
Yijun Liu;F. J. Rizzo.
Applied Mechanics and Engineering (1992)
Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method
J. F. Luo;Y. J. Liu;E. J. Berger.
Computational Mechanics (1998)
Recent Advances and Emerging Applications of the Boundary Element Method
Yijun Liu;Subrata Mukherjee;Naoshi Nishimura;Martin Schanz.
Applied Mechanics Reviews (2011)
An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation
L. Shen;Y. J. Liu.
Computational Mechanics (2007)
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