What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Partial differential equation
Xiu Ye mainly focuses on Discontinuous Galerkin method, Mathematical analysis, Galerkin method, Extended finite element method and Mixed finite element method.
Xiu Ye has included themes like Norm, Numerical analysis and Partial differential equation in his Discontinuous Galerkin method study.
The study incorporates disciplines such as Superconvergence, Polytope, Piecewise linear function, Lipschitz continuity and Calculus in addition to Partial differential equation.
Xiu Ye specializes in Mathematical analysis, namely Elliptic curve.
His work deals with themes such as Polyhedron, Applied mathematics, Piecewise and Weakened weak form, which intersect with Galerkin method.
Xiu Ye mostly deals with Spectral element method in his studies of Mixed finite element method.
His most cited work include:
- A weak Galerkin mixed finite element method for second order elliptic problems (309 citations)
- A weak Galerkin finite element method for second-order elliptic problems (284 citations)
- Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems (161 citations)
What are the main themes of his work throughout his whole career to date?
Xiu Ye mainly investigates Mathematical analysis, Galerkin method, Applied mathematics, Discontinuous Galerkin method and Norm.
His Mathematical analysis research is multidisciplinary, incorporating elements of Mixed finite element method and Extended finite element method.
His Mixed finite element method research integrates issues from Superconvergence and Spectral method.
His Galerkin method research incorporates elements of Polyhedron, Partial differential equation and Biharmonic equation.
His Applied mathematics research includes themes of Mathematical optimization, Polygon mesh, Order and Piecewise.
His Discontinuous Galerkin method research incorporates themes from Piecewise linear function, Calculus and Weakened weak form.
He most often published in these fields:
- Mathematical analysis (52.94%)
- Galerkin method (52.94%)
- Applied mathematics (43.38%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (43.38%)
- Galerkin method (52.94%)
- Polygon mesh (17.65%)
In recent papers he was focusing on the following fields of study:
Xiu Ye spends much of his time researching Applied mathematics, Galerkin method, Polygon mesh, Discontinuous Galerkin method and Norm.
His studies deal with areas such as Numerical analysis, Numerical approximation, Partial differential equation and Theory of computation as well as Applied mathematics.
His work on Galerkin finite element method as part of general Galerkin method research is frequently linked to Element, thereby connecting diverse disciplines of science.
Xiu Ye interconnects Mixed finite element method, Mathematical analysis and Extended finite element method in the investigation of issues within Discontinuous Galerkin method.
His Mathematical analysis study incorporates themes from Uniform convergence and Degree.
His Norm study combines topics from a wide range of disciplines, such as Rate of convergence, Boundary value problem and Degree of a polynomial.
Between 2017 and 2021, his most popular works were:
- A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems (29 citations)
- A stabilizer-free weak Galerkin finite element method on polytopal meshes (17 citations)
- Weak Galerkin method for the Biot’s consolidation model (15 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Partial differential equation
Xiu Ye focuses on Applied mathematics, Galerkin method, Discontinuous Galerkin method, Polygon mesh and Norm.
Many of his studies on Applied mathematics involve topics that are commonly interrelated, such as Order.
The various areas that Xiu Ye examines in his Galerkin method study include Angle condition and Finite element approximations.
He combines subjects such as Mixed finite element method and Extended finite element method with his study of Discontinuous Galerkin method.
His work on Spectral element method and hp-FEM as part of general Mixed finite element method study is frequently linked to A priori and a posteriori and Finite volume method, therefore connecting diverse disciplines of science.
As a part of the same scientific study, Xiu Ye usually deals with the Norm, concentrating on Boundary value problem and frequently concerns with Finite element space.
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