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Zhiqiang Cai
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Year
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
T Hou, XH Wu, Z Cai
Mathematics of computation 68 (227), 913-943, 1999
7741999
On the finite volume element method
Z Cai
Numerische Mathematik 58 (1), 713-735, 1990
5081990
First-order system least squares for second-order partial differential equations: Part I
Z Cai, R Lazarov, TA Manteuffel, SF McCormick
SIAM Journal on Numerical Analysis 31 (6), 1785-1799, 1994
4411994
The finite volume element method for diffusion equations on general triangulations
Z Cai, J Mandel, S McCormick
SIAM Journal on Numerical Analysis 28 (2), 392-402, 1991
3091991
First-order system least squares for second-order partial differential equations: Part II
Z Cai, TA Manteuffel, SF McCormick
SIAM Journal on Numerical Analysis 34 (2), 425-454, 1997
2911997
On the accuracy of the finite volume element method for diffusion equations on composite grids
Z Cai, S McCormick
SIAM Journal on Numerical Analysis 27 (3), 636-655, 1990
2331990
First-order system least squares for the Stokes equations, with application to linear elasticity
Z Cai, TA Manteuffel, SF McCormick
SIAM Journal on Numerical Analysis 34 (5), 1727-1741, 1997
2131997
Control‐volume mixed finite element methods
Z Cai, JE Jones, SF McCormick, TF Russell
Computational Geosciences 1, 289-315, 1997
1881997
Discontinuous Galerkin finite element methods for interface problems: a priori and a posteriori error estimations
Z Cai, X Ye, S Zhang
SIAM journal on numerical analysis 49 (5), 1761-1787, 2011
1472011
Least-squares methods for linear elasticity
Z Cai, G Starke
SIAM Journal on Numerical Analysis 42 (2), 826-842, 2004
1472004
Least-squares methods for incompressible Newtonian fluid flow: Linear stationary problems
Z Cai, B Lee, P Wang
SIAM Journal on Numerical Analysis 42 (2), 843-859, 2004
1342004
Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
P Bochev, Z Cai, TA Manteuffel, SF McCormick
SIAM Journal on Numerical Analysis 35 (3), 990-1009, 1998
1331998
A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier–Stokes equations
Z Cai, J Douglas, X Ye
Calcolo 36, 215-232, 1999
1181999
A finite element method using singular functions for the Poisson equation: corner singularities
Z Cai, S Kim
SIAM Journal on Numerical Analysis 39 (1), 286-299, 2001
1142001
Mixed finite element methods for incompressible flow: stationary Stokes equations
Z Cai, C Tong, PS Vassilevski, C Wang
Numerical Methods for Partial Differential Equations: An International …, 2010
1042010
Recovery-based error estimator for interface problems: conforming linear elements
Z Cai, S Zhang
SIAM Journal on Numerical Analysis 47 (3), 2132-2156, 2009
1022009
First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity
Z Cai, TA Manteuffel, SF McCormick
Electronic Transactions on Numerical Analysis (ETNA) 3, 150-159, 1995
961995
First-order system least squares for the stress-displacement formulation: linear elasticity
Z Cai, G Starke
SIAM journal on numerical analysis 41 (2), 715-730, 2003
942003
First-order system least squares (FOSLS) for planar linear elasticity: Pure traction problem
Z Cai, TA Manteuffel, SF McCormick, SV Parter
SIAM journal on numerical analysis 35 (1), 320-335, 1998
861998
Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic PDEs
Z Cai, J Chen, M Liu, X Liu
Journal of Computational Physics 420, 109707, 2020
842020
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