Zhilin Li
Orcid: 0000-0002-1636-5376Affiliations:
- North Carolina State University, Department of Mathematics, Raleigh, USA
According to our database1,
Zhilin Li
authored at least 67 papers
between 1997 and 2023.
Collaborative distances:
Collaborative distances:
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on zbmath.org
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on orcid.org
On csauthors.net:
Bibliography
2023
Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods.
Appl. Math. Comput., December, 2023
Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms.
J. Sci. Comput., June, 2023
Math. Comput. Simul., 2023
A Neumann interface optimal control problem with elliptic PDE constraints and its discretization and numerical analysis.
CoRR, 2023
Appl. Math. Lett., 2023
2022
A new parameter free partially penalized immersed finite element and the optimal convergence analysis.
Numerische Mathematik, 2022
Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations.
Numer. Algorithms, 2022
A generalized modulus-based Newton method for solving a class of non-linear complementarity problems with P-matrices.
Numer. Algorithms, 2022
A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients.
J. Comput. Phys., 2022
A new patch up technique for elliptic partial differential equation with irregularities.
J. Comput. Appl. Math., 2022
CoRR, 2022
High order two-grid finite difference methods for interface and internal layer problems.
CoRR, 2022
2021
A High Order Compact FD Framework for Elliptic BVPs Involving Singular Sources, Interfaces, and Irregular Domains.
J. Sci. Comput., 2021
The local tangential lifting method for moving interface problems on surfaces with applications.
J. Comput. Phys., 2021
J. Comput. Phys., 2021
Partially penalized IFE methods and convergence analysis for elasticity interface problems.
J. Comput. Appl. Math., 2021
Intell. Data Anal., 2021
Convergence study of IB methods for Stokes equations with non-periodic boundary conditions.
CoRR, 2021
An immersed CR-P<sub>0</sub> element for Stokes interface problems and the optimal convergence analysis.
CoRR, 2021
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems.
CoRR, 2021
Fourth order compact FD methods for convection diffusion equations with variable coefficients.
Appl. Math. Lett., 2021
2020
SIAM J. Sci. Comput., 2020
2019
A direct method for accurate solution and gradient computations for elliptic interface problems.
Numer. Algorithms, 2019
2018
Multiscale Model. Simul., 2018
On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method.
J. Sci. Comput., 2018
Error analysis of the immersed interface method for Stokes equations with an interface.
Appl. Math. Lett., 2018
2017
Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients.
SIAM J. Numer. Anal., 2017
J. Sci. Comput., 2017
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems.
Comput. Math. Appl., 2017
Int. J. Appl. Math. Comput. Sci., 2017
2016
Numer. Algorithms, 2016
A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems with Random Input.
J. Sci. Comput., 2016
Augmented immersed finite element methods for some elliptic partial differential equations.
Int. J. Comput. Math., 2016
2015
Math. Comput., 2015
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces.
J. Comput. Phys., 2015
J. Comput. Phys., 2015
A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions.
J. Comput. Phys., 2015
Int. J. Comput. Math., 2015
An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions.
Comput. Math. Appl., 2015
The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow.
Appl. Math. Comput., 2015
2014
J. Sci. Comput., 2014
2011
The IIM in polar coordinates and its application to electro capacitance tomography problems.
Numer. Algorithms, 2011
2009
A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations.
J. Comput. Phys., 2009
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains.
J. Comput. Phys., 2009
2008
An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane.
J. Comput. Phys., 2008
A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow.
Adv. Comput. Math., 2008
2007
Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions.
SIAM J. Numer. Anal., 2007
A Finite Difference Method and Analysis for 2D Nonlinear Poisson-Boltzmann Equations.
J. Sci. Comput., 2007
2006
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources.
Appl. Math. Lett., 2006
2005
Higher-Order, Cartesian Grid Based Finite Difference Schemes for Elliptic Equations on Irregular Domains.
SIAM J. Sci. Comput., 2005
2004
Proceedings of the Numerical Analysis and Its Applications, Third International Conference, 2004
2003
SIAM J. Sci. Comput., 2003
New Cartesian grid methods for interface problems using the finite element formulation.
Numerische Mathematik, 2003
Solving a Nonlinear Problem in Magneto-Rheological Fluids Using the Immersed Interface Method.
J. Sci. Comput., 2003
2002
SIAM J. Sci. Comput., 2002
2001
Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients.
SIAM J. Sci. Comput., 2001
A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane.
Appl. Math. Lett., 2001
2000
A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals.
Proceedings of the Numerical Analysis and Its Applications, 2000
1997
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension.
SIAM J. Sci. Comput., 1997