Fast Sweeping Methods for Static Hamilton--Jacobi Equations

Chiu‐Yen Kao, Stanley Osher, Yen-Hsi Tsai

Type: Article

Publication Date: 2005-01-01

Citations: 141

DOI: https://doi.org/10.1137/s0036142902419600

View Publication

Locations

SIAM Journal on Numerical Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	High Order Fast Sweeping Methods for Static Hamilton–Jacobi Equations	2005	Yong‐Tao Zhang Hongkai Zhao Jianliang Qian
+ PDF Chat	Lax–Friedrichs sweeping scheme for static Hamilton–Jacobi equations	2003	Chiu Yen Kao Stanley Osher Jianliang Qian
+	A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations	2007	Jianliang Qian Yong‐Tao Zhang Hongkai Zhao
+ PDF Chat	Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations	2003	Yen‐Hsi Richard Tsai Li‐Tien Cheng Stanley Osher Hongkai Zhao
+	A STOPPING CRITERION FOR HIGHER-ORDER SWEEPING SCHEMES FOR STATIC HAMILTON-JACOBI EQUATIONS	2010	susana Serna Jianliang Qian Qian
+	Relaxation Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations	2009	Peng Zhu Shuzi Zhou
+	A Fast Sweeping Method for Computing the Effective Hamiltonian	2012	Martin Nolte
+ PDF Chat	A Stopping Criterion for Higher-order Sweeping Schemes for Static Hamilton-Jacobi Equations	2010	Susana Serna Jianliang Qian
+	Fast Sweeping Methods for Eikonal Equations on Triangular Meshes	2007	Jianliang Qian Yong‐Tao Zhang Hongkai Zhao
+ PDF Chat	Fixed-point Iterative Sweeping Methods for Static Hamilton-Jacobi Equations	2006	Shanqin Chen Yong‐Tao Zhang Hongkai Zhao
+ PDF Chat	Convergence analysis of the fast sweeping method for static convex Hamilton–Jacobi equations	2016	Songting Luo Hongkai Zhao
+ PDF Chat	A Rotating-Grid Upwind Fast Sweeping Scheme for a Class of Hamilton-Jacobi Equations	2021	Christian Parkinson
+	High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations	2020	Yupeng Ren Yulong Xing Jianxian Qiu
+ PDF Chat	High Order Finite Difference Hermite Weno Fast Sweeping Methods for Static Hamilton-Jacobi Equations	2023	Yupeng Ren Yulong Xing Jianxian Qiu
+	A Hybrid Finite Difference WENO-ZQ Fast Sweeping Method for Static Hamilton–Jacobi Equations	2020	Yupeng Ren Tao Xiong Jianxian Qiu
+	High order filtering methods for solving Hamilton-Jacobi equations and conservation laws	1990	F. Lafon
+	An Efficient Sweep-Based Solver for the SN Equations on High-Order Meshes	2018	Terry S. Haut Peter G. Maginot Vladimir Tomov Thomas Brunner Teresa Bailey
+	A parallel fast sweeping method for the Eikonal equation	2012	Miles Detrixhe Frédéric Gibou Chohong Min
+	A uniformly second order fast sweeping method for eikonal equations	2013	Songting Luo
+ PDF Chat	Alternating evolution methods for static Hamilton–Jacobi equations	2018	Hailiang Liu Linrui Qian

Works That Cite This (65)

Action	Title	Year	Authors
+	High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations	2020	Yupeng Ren Yulong Xing Jianxian Qiu
+	A Rotating-Grid Upwind Fast Sweeping Scheme for a Class of Hamilton-Jacobi Equations	2020	Christian Parkinson
+ PDF Chat	Image Guided Personalization of Reaction-Diffusion Type Tumor Growth Models Using Modified Anisotropic Eikonal Equations	2009	Ender Konukoglu Olivier Clatz Bjoern Menze Bram Stieltjes Marc‐André Weber Emmanuel Mandonnet Hervé Delingette Nicholas Ayache
+	A Fast Sweeping Method for Eikonal Equations on Implicit Surfaces	2015	Tony Wong Shingyu Leung
+ PDF Chat	An Ordered Upwind Method with Precomputed Stencil and Monotone Node Acceptance for Solving Static Convex Hamilton-Jacobi Equations	2011	Ken Alton Ian M. Mitchell
+	Structural Connectivity Analysis Using Finsler Geometry	2019	Tom Dela Haije Peter Savadjiev A. Fuster Robert T. Schultz Ragini Verma Luc Florack Carl‐Fredrik Westin
+	Hybrid Fast Sweeping Methods for Anisotropic Eikonal Equation in Two-Dimensional Tilted Transversely Isotropic Media	2020	Huang Guangnan Songting Luo
+	Fast Sweeping Methods for Eikonal Equations on Triangular Meshes	2007	Jianliang Qian Yong‐Tao Zhang Hongkai Zhao
+ PDF Chat	High Order Finite Difference Hermite Weno Fast Sweeping Methods for Static Hamilton-Jacobi Equations	2023	Yupeng Ren Yulong Xing Jianxian Qiu
+ PDF Chat	A second order discontinuous Galerkin fast sweeping method for Eikonal equations	2008	Fengyan Li Chi‐Wang Shu Yong‐Tao Zhang Hongkai Zhao

Works Cited by This (18)

Action	Title	Year	Authors
+	High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations	1991	Stanley Osher Chi‐Wang Shu
+	Approximation schemes for viscosity solutions of Hamilton-Jacobi equations	1985	Panagiotis E. Souganidis
+ PDF Chat	Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations	1988	Stanley Osher James A. Sethian
+	A new trust region algorithm for bound constrained minimization	1994	Ana Friedlander J. M. Mart�nez Sandra A. Santos
+ PDF Chat	A Limited Memory Algorithm for Bound Constrained Optimization	1995	Richard H. Byrd Peihuang Lu Jorge Nocedal Ciyou Zhu
+ PDF Chat	Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations	2003	Yen‐Hsi Richard Tsai Li‐Tien Cheng Stanley Osher Hongkai Zhao
+ PDF Chat	Algorithm 778: L-BFGS-B	1997	Ciyou Zhu Richard H. Byrd Peihuang Lu Jorge Nocedal
+	A Level Set Formulation for the Solution of the Dirichlet Problem for Hamilton–Jacobi Equations	1993	Stanley Osher
+	Semi-Lagrangian Schemes for Hamilton–Jacobi Equations, Discrete Representation Formulae and Godunov Methods	2002	Maurizio Falcone Roberto Ferretti
+	Fast Legendre–Fenchel Transform and Applications to Hamilton–Jacobi Equations and Conservation Laws	1996	Lucilla Corrias