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)