So-Hsiang Chou
Recent Publications and Technical Reports (1996-)
-
1996-1.
S. H. Chou and Q. Li,
Numerical analysis of a mixed finite element method for a flow-transport
problem
Numer. Methods Partial Differential Equations 12 (1996), no. 2, 221--233.
-
1996-2.
S. H. Chou and Q. Li,
Characteristic-Galerkin and Mixed Finite Element Approximation of Contamination by Compressible Nuclear
Waste-Disposal in Porous Media
Numer. Methods Partial Differential Equations 12 (1996), No. 3, 315-332.
-
1996-3.
C. W. Chiang and S. H. Chou,
Global weight selection procedures for hybrid
difference methods.
Soochow J. Math. 22 (1996), no. 1, 49--57
-
1997-1.
S. H. Chou,
Analysis and Covergence of a Covolume Method for the Generalized
Stokes Problem
Mathematics of Computation 217, Vol. 66, pp. 85-104 (1997).
-
1997-2.
S. H. Chou and D. Y. Kwak,
Analysis and Convergence of a MAC-like Scheme for the Generalized
Stokes Problem
Numer. Methods Partial Differential Equations, Vol 13, No. 2, 147-163, (1997).
-
1997-3.
S. H. Chou and P. S. Vassilevski,
A Note on the Wielandt and Kantorovich Inequalities
-
1998-1.
S. H. Chou and D. Y. Kwak,
A Covolume Method Based on Rotated Bilinears for the Generalized
Stokes Problem
SIAM J. Numer. Anal., Vol. 35, No. 2, pp. 497-507, (1998)
-
1998-2.
S. H. Chou and T. A. Porsching,
A Note on the Restarted CG Method and Reduced Space
Additive Correction
Comput. Math. Applic., Vol. 35, No. 9, 129-136, (1998).
-
1998-3.
G. Peng, H. Xi, C. Duncan, S. H. Chou,
Lattice Boltzmann method on irregular meshes,
Physical Review E, Vol. 58, No. 4, pp. 4124-4127, (1998).
-
1998-4.
S. H. Chou, D. Y. Kwak and P. S. Vassilevski,
Mixed Covolume Methods for Elliptic Problems on Triangular Grids
SIAM J. Numer. Anal., Vol. 35, No. 5, pp. 1850-1861, (1998)
-
1998-5.
S. H. Chou and Q. Li,
A Mixed Finite Element Approximation for Compressible Flow of
Contamination from Nuclear Waste in Porous Media
Acta Math Scientia, Vol. 18, No. 2, pp. 146-157, (1998).
-
1999-1.
S. H. Chou and P. S. Vassilevski,
An Upwinding Cell--Centered Method with Piecewise Constant
Velocity over Covolumes Numer. Methods
Partial Differential Equations, Vol. 15, No 1, pp. 49-62, (1999)
-
1999-2. G. Peng, H. Xi, C. Duncan, and S. H. Chou,
A Finite Volume Scheme for the Lattice Boltzmann Method on Unstructured Meshes.
Physical Review E, 59, 4675-4682 (1999)
- 1999-3.
S. H. Chou and P. S. Vassilevski,
A General Mixed Covolume Framework for Constructing Conservative Schemes for
Elliptic Problems.
Math. Comp.,
Vol. 68, pp. 991-1011 (1999).
-
1999-4.
S. H. Chou, D. Y. Kwak and P. S. Vassilevski,
An Upwinding Mixed Covolume Method for Nonsymmetric Elliptic Problems.
Proceedings of the eigth KAIST Math Workshop on Finite
Element Method, pp. 73-87, Korea Advanced Institute of Science and
Technology, Applied Mathematics Research Center, Taejon, Korea (1999)
- 1999-5. G. Peng, H. Xi, and S. H. Chou, On Boundary
Conditions in the Finite Volume Lattice Boltzmann Method on Unstructured Meshes
, Int. J. Mod. Phys. C 1003--1017 (1999)
-
1999-6.
So-Hsiang Chou, Do. Y. Kwak and Panayot S. Vassilevski,
Mixed Upwinding Covolume Methods for Convection-Diffusion Equations
SIAM J. Sci. Computing, Vol. 21, No. 1, 145-165, (1999).
-
1999-7. H. Xi, G. Peng, and S.-H. Chou,
Finite-volume lattice Boltzmann method,
Phys. Rev. E 59 (1999) 6202--6207.
-
1999-8. Haowen Xi, Gongwen Peng, and So-Hsiang Chou,
Finite-volume
Lattice Boltzmann Schemes in Two and Three Dimensions Phys. Rev. E 60(1999)
3380-3388.
-
2000-1.
S. H. Chou and D. Y. Kwak,
Mixed Covolume Methods on Rectangular Grids for Elliptic Problems
SIAM J. Numer. Anal., Vol 37, No 3, 758-771, (2000).
-
2000-2.
S. H. Chou and Q. Li,
Error Estimates in L^2 ,H^1 and L^\infty in Covolume Methods for Elliptic and
Parabolic Problems: A Unified Approach
Mathematics of Computation 69, No. 229, 103-120, (2000).
-
2000-3.
S. H. Chou and S. Tang,
Conservative
$P1$ Conforming and Nonconforming Galerkin FEMs: Effective Flux Evaluation via a Non--mixed Method Approach
SIAM J. Numer. Anal., Vol. 38, No 2., 660--680, (2000).
-
2001-1.
S. H. Chou and Q. Li,
Max-norm error estimates for FEM for nonlinear Sobolev equations
J. KSIAM, Vol. 5, No 2.,25-37, (2001).
-
2001-2.
S. H. Chou and S. Tang,
Comparing two approaches of analyzing mixed finite volume
methods
J. KSIAM, Vol 5, No. 1, 55-78, (2001).
-
2001-3.
S. H. Chou, D. Y. Kwak, and K. Kim
A General framework for constructing and analyzing mixed finite volume methods on quadrilateral
grids:
the overlapping covolume case
SIAM J. Numer. Anal., Vol 39, No. 4, 1170-1196, (2001)
-
2002-1.
S. H. Chou and S. He
On the regularity and uniformness conditions on quadrilateral grids
Comput. Methods Appl. Mech. Engrg. 191, 5149-5158, (2002)
-
2002-2.
S. H. Chou, D. Y. Kwak, and K. Y. Kim
Flux recovery from primal hybrid finite element methods
Vol. 40, No. 2, SIAM J. Numer. Anal. 403-415, (2002).
-
2002-3. So-Hsiang Chou and Do Y. Kwak, Multigrid Algorithms for a
Vertex--Centered
Covolume Method for
Elliptic Problems,
Numer. Math. 90 (2002), no. 3, 441--458
-
2003-1. S. H. Chou, D. Y. Kwak, and Q. Li.
L^p error estimates and
superconvergence for covolume or finite volume element methods,
Numerical Methods for Partial Differential Equations, Vol 19, 463-486,
(2003).
-
2003-2. So-Hsiang Chou, Do Y. Kwak, and K. Y. Kim.
Mixed finite volume methods on nonstaggered quadrilateral grids for
elliptic problems, Mathematics of Computation, Vol 72, 525--539, (2003).
-
2003-3. So-Hsiang Chou and Jianguo Huang.
A domain decomposition algorithm for general covolume methods for elliptic
problems , J. of Numer. Math, Vol 11, No. 3, 179--194, (2003).
-
2004-1. S. H. Chou, S. He, and W. W. Lin.
Conservative flux recovery from the Q1 conforming finite element method
on quadrilateral grids Numerical Methods for Partial Differential Equations, Vol 20, No 1. 104-127 (2004)
-
2004-2. J. N. Wang, S. H. Chou, Y. C. Chen and W. W. Lin.
Pole Assignment for a Vibrating System with Aerodynamic Effect,
SIAM J. Control Optim., Vol 42, No. 6, pp. 2116-2129 (2004)