Zhimin Zhang mostly deals with Applied mathematics, Finite element method, Mathematical analysis, Superconvergence and Numerical analysis. His Applied mathematics research incorporates themes from Exponential function, Mathematical optimization, Galerkin method and Calculus. His research in Finite element method intersects with topics in Upper and lower bounds, Partial differential equation, Eigenvalues and eigenvectors and Laplace operator.
The concepts of his Mathematical analysis study are interwoven with issues in Geometry and Discontinuous Galerkin method. His studies deal with areas such as Estimator, Polygon mesh, Order and Degree of a polynomial as well as Superconvergence. His biological study spans a wide range of topics, including Order, Gradient method and Boundary value problem, Laplace's equation.
Mathematical analysis, Applied mathematics, Superconvergence, Finite element method and Eigenvalues and eigenvectors are his primary areas of study. His work blends Mathematical analysis and Rate of convergence studies together. The Applied mathematics study combines topics in areas such as Function, Estimator, Mathematical optimization and Laplace transform.
His study looks at the intersection of Superconvergence and topics like Norm with Galerkin method. Zhimin Zhang combines subjects such as Space, Geometry, Order and Numerical analysis with his study of Finite element method. His research integrates issues of Sobolev space, Sequence and Laplace operator in his study of Eigenvalues and eigenvectors.
Zhimin Zhang mainly investigates Applied mathematics, Finite element method, Mathematical analysis, Rate of convergence and Superconvergence. The various areas that Zhimin Zhang examines in his Applied mathematics study include Galerkin method, Series expansion, Singularity, Norm and Estimator. His Finite element method research is multidisciplinary, relying on both Zero, Holomorphic function, Fredholm operator, Space and Approximation theory.
His Numerical analysis study, which is part of a larger body of work in Mathematical analysis, is frequently linked to Lattice Boltzmann methods, bridging the gap between disciplines. His Numerical analysis study integrates concerns from other disciplines, such as Eigenfunction and Sobolev space. His Superconvergence research includes elements of Polynomial, Collocation method, Interpolation, Jacobi polynomials and Discontinuous Galerkin method.
Zhimin Zhang spends much of his time researching Applied mathematics, Rate of convergence, Series expansion, Norm and Estimator. He interconnects Superconvergence, Linear system, Galerkin method, Poisson distribution and Singularity in the investigation of issues within Applied mathematics. The study incorporates disciplines such as Fractional operator, Maxwell's equations and Numerical tests in addition to Superconvergence.
His Estimator research focuses on Sample size determination and how it connects with Function. Zhimin Zhang works mostly in the field of Order, limiting it down to topics relating to Initial value problem and, in certain cases, Finite element method, as a part of the same area of interest. In his research, Eigenvalues and eigenvectors is intimately related to Mathematical analysis, which falls under the overarching field of Finite element method.
A New Finite Element Gradient Recovery Method: Superconvergence Property
Zhimin Zhang;Ahmed Naga.
SIAM Journal on Scientific Computing (2005)
Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
Shidong Jiang;Jiwei Zhang;Qian Zhang;Zhimin Zhang.
Communications in Computational Physics (2017)
Finite element and difference approximation of some linear stochastic partial differential equations
E. J. Allen;S. J. Novosel;Z. Zhang.
Stochastics An International Journal of Probability and Stochastic Processes (1998)
Analysis of recovery type a posteriori error estimators for mildly structured grids
Jinchao Xu;Zhimin Zhang.
Mathematics of Computation (2003)
A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
Ahmed Naga;Zhimin Zhang.
SIAM Journal on Numerical Analysis (2004)
Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
Mathematics of Computation (2003)
Analysis of a Class of Superconvergence Patch Recovery Techniques for Linear and Bilinear Finite Elements
Bo Li;Zhimin Zhang.
Numerical Methods for Partial Differential Equations (1999)
Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
SIAM Journal on Numerical Analysis (1997)
Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method (II)
Zhimin Zhang;Jianzhong Zhu.
Computer Methods in Applied Mechanics and Engineering (1998)
Ultraconvergence of the patch recovery technique II
Mathematics of Computation (2000)
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