What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Numerical analysis
Yinnian He mostly deals with Mathematical analysis, Mixed finite element method, Numerical analysis, Extended finite element method and Navier–Stokes equations.
His Mathematical analysis research includes themes of Quadrilateral, Galerkin method and Discontinuous Galerkin method.
The concepts of his Mixed finite element method study are interwoven with issues in Parallel algorithm, Algorithm and Geometry.
His Numerical analysis study combines topics in areas such as Stokes flow, Finite difference method and Backward Euler method.
His Extended finite element method research is multidisciplinary, relying on both CFD-DEM and Boundary knot method.
He has included themes like Crank–Nicolson method, Iterative method, Nonlinear system, Pressure-correction method and Oseen equations in his Navier–Stokes equations study.
His most cited work include:
- Two-Level Method Based on Finite Element and Crank--Nicolson Extrapolation for the Time-Dependent Navier--Stokes Equations (182 citations)
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations (165 citations)
- On large time-stepping methods for the Cahn--Hilliard equation (154 citations)
What are the main themes of his work throughout his whole career to date?
Yinnian He focuses on Mathematical analysis, Navier–Stokes equations, Mixed finite element method, Applied mathematics and Discretization.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Discontinuous Galerkin method and Galerkin method, Nonlinear system.
His Navier–Stokes equations research is multidisciplinary, incorporating elements of Iterative method, Numerical tests, Numerical stability and Oseen equations.
His Mixed finite element method research incorporates elements of Algorithm, Geometry, Uniqueness and Extended finite element method.
Yinnian He combines subjects such as Order and Mathematical optimization with his study of Applied mathematics.
His research in Discretization intersects with topics in Scheme, Penalty method and Euler's formula.
He most often published in these fields:
- Mathematical analysis (87.15%)
- Navier–Stokes equations (33.33%)
- Mixed finite element method (28.92%)
What were the highlights of his more recent work (between 2018-2021)?
- Applied mathematics (28.11%)
- Mathematical analysis (87.15%)
- Discretization (27.31%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Applied mathematics, Mathematical analysis, Discretization, Convection–diffusion equation and Discontinuous Galerkin method.
The study incorporates disciplines such as Scheme, Uniqueness, Computer simulation, Nonlinear system and Temporal discretization in addition to Applied mathematics.
His study in Polygon mesh extends to Mathematical analysis with its themes.
His research integrates issues of Mixed finite element method, Partial differential equation, Collocation method and Interpolation in his study of Discretization.
His Convection–diffusion equation research incorporates themes from Basis, Robin boundary condition and Order reduction.
His Discontinuous Galerkin method study integrates concerns from other disciplines, such as Biot number, Coarse space and Algebraic number.
Between 2018 and 2021, his most popular works were:
- A divergence free weak virtual element method for the Stokes–Darcy problem on general meshes (16 citations)
- Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method (15 citations)
- Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method (15 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Partial differential equation
- Numerical analysis
Yinnian He spends much of his time researching Applied mathematics, Discretization, A priori and a posteriori, Discontinuous Galerkin method and Mixed finite element method.
His studies in Applied mathematics integrate themes in fields like Temporal discretization, Convection–diffusion equation, Uniqueness and Nonlinear system.
His Discretization study incorporates themes from Derivative, Partial differential equation, Surface, Numerical analysis and Laplace operator.
His work deals with themes such as Multiphysics, Conservation of mass, Computer simulation and Deformation, which intersect with Mixed finite element method.
His studies deal with areas such as Mathematical analysis and Piecewise as well as Polygon mesh.
Yinnian He does research in Mathematical analysis, focusing on Norm specifically.
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