A new Lagrange multiplier approach for constructing structure preserving schemes, I. Positivity preserving
暂无分享,去创建一个
Qing Cheng | Jie Shen | Jie Shen | Q. Cheng
[1] Jingwei Hu,et al. A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson–Nernst–Planck equations , 2020, Numerische Mathematik.
[2] Mary C. Pugh,et al. The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions , 1996 .
[3] J. Vázquez. The Porous Medium Equation: Mathematical Theory , 2006 .
[4] Buyang Li,et al. Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations , 2020, SIAM J. Sci. Comput..
[5] C F Curtiss,et al. Integration of Stiff Equations. , 1952, Proceedings of the National Academy of Sciences of the United States of America.
[6] F. Facchinei,et al. Finite-Dimensional Variational Inequalities and Complementarity Problems , 2003 .
[7] Yuanyuan Liu,et al. High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations , 2011, SIAM J. Sci. Comput..
[8] Houyuan Jiang,et al. Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving these Equations , 1997, Math. Oper. Res..
[9] Jie Shen,et al. Bound/Positivity Preserving and Energy Stable Scalar auxiliary Variable Schemes for Dissipative Systems: Applications to Keller-Segel and Poisson-Nernst-Planck Equations , 2021, SIAM J. Sci. Comput..
[10] Cheng Wang,et al. Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential , 2017, J. Comput. Phys. X.
[11] Jie Shen,et al. A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows , 2017, SIAM Rev..
[12] Jie Shen,et al. An overview of projection methods for incompressible flows , 2006 .
[13] Xiangxiong Zhang,et al. Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[14] Jie Shen,et al. Spectral Methods: Algorithms, Analysis and Applications , 2011 .
[15] Stefan Ulbrich,et al. Optimization with PDE Constraints , 2008, Mathematical modelling.
[16] Xiangxiong Zhang,et al. On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes , 2010, J. Comput. Phys..
[17] Li Wang,et al. Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations , 2016, Math. Comput..
[18] Yan Xu,et al. Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations , 2018, SIAM J. Sci. Comput..
[19] Ivan P. Gavrilyuk,et al. Lagrange multiplier approach to variational problems and applications , 2010, Math. Comput..
[20] Charles M. Elliott,et al. The global dynamics of discrete semilinear parabolic equations , 1993 .
[21] Lili Ju,et al. Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes , 2020, SIAM Rev..
[22] JIE SHEN,et al. Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows , 2020, SIAM J. Sci. Comput..
[23] Qing Cheng,et al. Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model , 2018, SIAM J. Sci. Comput..
[24] J. Cahn,et al. A microscopic theory for antiphase boundary motion and its application to antiphase domain coasening , 1979 .
[25] Shusen Xie,et al. A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations , 2018, SIAM J. Numer. Anal..
[26] Kejia Pan,et al. A Positivity Preserving and Free Energy Dissipative Difference Scheme for the Poisson-Nernst-Planck System , 2019, J. Sci. Comput..
[27] Kazufumi Ito,et al. On a semi-smooth Newton method and its globalization , 2009, Math. Program..
[28] Patrick T. Harker,et al. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications , 1990, Math. Program..
[29] Xiangxiong Zhang,et al. On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\) - \(Q^2\) finite element method , 2019, Numerische Mathematik.
[30] Qing Cheng,et al. Generalized SAV approaches for gradient systems , 2021, J. Comput. Appl. Math..
[31] K. Kunisch,et al. Primal-Dual Strategy for Constrained Optimal Control Problems , 1999 .
[32] Andrea L. Bertozzi,et al. Positivity-Preserving Numerical Schemes for Lubrication-Type Equations , 1999, SIAM J. Numer. Anal..
[34] Kazufumi Ito,et al. The Primal-Dual Active Set Strategy as a Semismooth Newton Method , 2002, SIAM J. Optim..
[35] T. Hughes,et al. Isogeometric analysis of the Cahn–Hilliard phase-field model , 2008 .
[36] Weizhang Huang,et al. The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations , 2012, J. Comput. Phys..