Zi-Cai Li

发表

Splitting-Shooting Methods for Nonlinear Transformations of Digitized Patterns

Yuan Yan Tang, Ching Y. Suen, Tien D. Bui, 1990, IEEE Trans. Pattern Anal. Mach. Intell..

Comparisons of method of fundamental solutions, method of particular solutions and the MFS-QR; stability analysis

Liping Zhang, Hung-Tsai Huang, Ming-Gong Lee, 2021 .

New algorithms for geometric transformations of digital images and patterns

Ching Y. Suen, Zi-Cai Li, H. Wang, 2002, Object recognition supported by user interaction for service robots.

The null-field method of Dirichlet problems of Laplace's equation on circular domains with circular holes

Hung-Tsai Huang, Ming-Gong Lee, Zi-Cai Li, 2012 .

Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs

Tao Lü, Zi-Cai Li, Jin Huang, 2009 .

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

Zi-Cai Li, Zi-Cai Li, 1998 .

Boundary penalty finite element methods for blending surfaces, III. Superconvergence and stability and examples

Zi-Cai Li, Zi-Cai Li, Chia-Shen Chang, 1999 .

The method of fundamental solutions for annular shaped domains

Zi-Cai Li, Zi-Cai Li, 2009 .

Study on effective condition number for collocation methods

Hung-Tsai Huang, Zi-Cai Li, 2008 .

Neumann problems of 2D Laplace's equation by method of fundamental solutions

Hung-Tsai Huang, Ming-Gong Lee, Zi-Cai Li, 2017 .

The method of fundamental solutions for the Helmholtz equation

Yimin Wei, Hung-Tsai Huang, Zi-Cai Li, 2019, Applied Numerical Mathematics.

Boundary penalty finite element methods for blending surfaces — II: biharmonic equations

Zi-Cai Li, Zi-Cai Li, 1999 .

Stability analysis via condition number and effective condition number for the first kind boundary integral equations by advanced quadrature methods, a comparison

Yimin Wei, Hung-Tsai Huang, Zi-Cai Li, 2011 .

Boundary methods for mixed boundary problems of Laplace׳s equation in elliptic domains with elliptic holes☆

Ming-Gong Lee, Zi-Cai Li, Li-Ping Zhang, 2016 .

Two-grid discretization schemes for nonlinear Schrödinger equations

C.-S. Chien, Hung-Tsai Huang, Zi-Cai Li, 2008 .

Collocation Trefftz methods for the stokes equations with singularity

Ming-Gong Lee, Zi-Cai Li, John Y. Chiang, 2013 .

Advanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace's equation with discontinuity solutions

Alexander H.-D. Cheng, Zi-Cai Li, Jin Huang, 2010 .

Error analysis for hybrid Trefftz methods coupling traction conditions in linear elastostatics

Zi-Cai Li, 2012 .

Boundary Methods for Dirichlet Problems of Laplace's Equation in Elliptic Domains with Elliptic Holes

Yimin Wei, Ming-Gong Lee, Zi-Cai Li, 2015 .

New expansions of numerical eigenvalues by Wilson's element

Qun Lin, Hung-Tsai Huang, Zi-Cai Li, 2009 .

Superconvergence of Solution Derivatives for the Shortley–Weller Difference Approximation of Poisson's Equation. II. Singularity Problems

Qing Fang, Hsin-Yun Hu, Zi-Cai Li, 2003 .

The Laplace equation in three dimensions by the method of fundamental solutions and the method of particular solutions

Hung-Tsai Huang, Zi-Cai Li, Liping Zhang, 2020 .

An approach combining the Ritz‐Galerkin and finite difference methods

Zi-Cai Li, Zi-Cai Li, 1989 .

Superconvergence of coupling techniques in combined methods for elliptic equations with singularities

Zi-Cai Li, Zi-Cai Li, 2001 .

Splitting-integrating methods for the image transformations T and T−1T☆

Zi-Cai Li, Zi-Cai Li, 1996 .

Penalty combinations of the Ritz-Galerkin and finite difference methods for singularity problems

Zi-Cai Li, Zi-Cai Li, 1997 .

Superconvergence of solution derivatives for the Shortley-Weller difference approximation of Poisson's equation. Part I: smoothness problems

Qing Fang, Zi-Cai Li, Tetsuro Yamamoto, 2003 .

Effective condition number for finite difference method

C.-S. Chien, Hung-Tsai Huang, Zi-Cai Li, 2007 .

Particular solutions of Laplace's equations on polygons and new models involving mild singularities

Tzon-Tzer Lu, Hsin-Yun Hu, Alexander H.-D. Cheng, 2005 .

Effective condition number for weighted linear least squares problems and applications to the Trefftz method

Yimin Wei, Hung-Tsai Huang, Tzon-Tzer Lu, 2012 .

Effective condition number and superconvergence of the Trefftz method coupled with high order FEM for singularity problems

Hung-Tsai Huang, Zi-Cai Li, Zi-Cai Li, 2006 .

Effective condition number of the Hermite finite element methods for biharmonic equations

Hung-Tsai Huang, Zi-Cai Li, Jin Huang, 2008 .

The Trefftz method for the Helmholtz equation with degeneracy

Zi-Cai Li, Zi-Cai Li, 2008 .

Comparisons of fundamental solutions and particular solutions for Trefftz methods

Hung-Tsai Huang, Lih-Jier Young, Alexander H.-D. Cheng, 2010 .

The collocation Trefftz method for biharmonic equations with crack singularities

Tzon-Tzer Lu, Hsin-Yun Hu, Zi-Cai Li, 2004 .

Boundary methods for solving elliptic problems with singularities and interfaces

Rudolf Mathon, Zi-Cai Li, R. Mathon, 1987 .

Models of corner and crack singularity of linear elastostatics and their numerical solutions

Lih-Jier Young, Ming-Gong Lee, Zi-Cai Li, 2010 .

New error estimates of biquadratic Lagrange elements for Poisson's equation

Hung-Tsai Huang, Zi-Cai Li, Aihui Zhou, 2006 .

Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics

Lih-Jier Young, Ming-Gong Lee, Zi-Cai Li, 2010 .

Effective condition number for the finite element method using local mesh refinements

Hung-Tsai Huang, Zi-Cai Li, 2009 .

Highly accurate solutions of Motz's and the cracked beam problems

Tzon-Tzer Lu, Hsin-Yun Hu, Zi-Cai Li, 2004 .