An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization
暂无分享,去创建一个
Gian Luca Delzanno | Luis Chacón | Giovanni Lapenta | John M. Finn | Yeo-Jin Chung | G. Lapenta | L. Chacón | G. Delzanno | J. Finn | Yeo-Jin Chung
[1] Dana A. Knoll,et al. An Implicit, Nonlinear Reduced Resistive MHD Solver , 2002 .
[2] Maenghyo Cho,et al. r -Adaptive mesh generation for shell finite element analysis , 2004 .
[3] Lee Kania,et al. Elliptic adaptive grid generation and area equidistribution , 1999 .
[4] J. Scanlon. The Dirichlet problem for nonlinear elliptic equations. , 1955 .
[5] Dale Anderson,et al. An Adaptive grid scheme controlling cell area/volume , 1987 .
[6] A. Peirce. Computer Methods in Applied Mechanics and Engineering , 2010 .
[7] Bharat K. Soni,et al. Structured adaptive grid generation , 1994 .
[8] Patrick M. Knupp,et al. Jacobian-Weighted Elliptic Grid Generation , 1996, SIAM J. Sci. Comput..
[9] J. F. Williams,et al. Parabolic Monge-Ampère methods for blow-up problems in several spatial dimensions , 2006 .
[10] A. M. Winslow. Adaptive-mesh zoning by the equipotential method , 1981 .
[11] H. P.. Annales de l'Institut Henri Poincaré , 1931, Nature.
[12] D. A. Knoll,et al. An Implicit Energy-Conservative 2 D Fokker – Planck Algorithm I . Difference Scheme , 1999 .
[13] Vladimir D. Liseikin,et al. Grid Generation Methods , 1999 .
[14] R. Dembo,et al. INEXACT NEWTON METHODS , 1982 .
[15] Luis Chacón,et al. A fully implicit, nonlinear adaptive grid strategy , 2006, J. Comput. Phys..
[16] George H. Miley,et al. An implicit energy-conservative 2D Fokker-Planck algorithm: II. Jacobian-free Newton—Krylov solver , 2000 .
[17] Glen Hansen,et al. Mesh Enhancement: Selected Elliptic Methods, Foundations And Applications , 2005 .
[18] Gian Luca Delzanno,et al. Grid Generation and Adaptation by Monge-Kantorovich Optimization in Two and Three Dimensions , 2008, IMR.
[19] Joe F. Thompson,et al. Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies , 1974 .
[20] Dana A. Knoll,et al. A Multilevel Iterative Field Solver for Implicit, Kinetic, Plasma Simulation , 1999 .
[21] Dale A. Anderson. Equidistribution schemes, poisson generators, and adaptive grids , 1987 .
[22] Richard S. Hamilton,et al. Harmonic Maps of Manifolds with Boundary , 1975 .
[23] William J. Rider,et al. A Multigrid Newton-Krylov Method for Multimaterial Equilibrium Radiation Diffusion , 1999 .
[24] Michael Pernice,et al. A Multigrid-Preconditioned Newton-Krylov Method for the Incompressible Navier-Stokes Equations , 2001, SIAM J. Sci. Comput..
[25] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[26] Robert D. Russell,et al. Anr-Adaptive Finite Element Method Based upon Moving Mesh PDEs , 1999 .
[27] Weizhang Huang,et al. Moving mesh partial differential equations (MMPDES) based on the equidistribution principle , 1994 .
[28] Mike J. Baines. Least squares and approximate equidistribution in multidimensions , 1999 .
[29] C. Kelley. Iterative Methods for Linear and Nonlinear Equations , 1987 .
[30] D. A. Knoll,et al. A 2D high-ß Hall MHD implicit nonlinear solver , 2003 .
[31] J. Moser,et al. On a partial differential equation involving the Jacobian determinant , 1990 .
[32] J. Brackbill,et al. A numerical method for suspension flow , 1991 .
[33] William L. Briggs,et al. A multigrid tutorial , 1987 .
[34] P. Eiseman,et al. Adaptive grid generation , 1987 .
[35] A. Dvinsky. Adaptive grid generation from harmonic maps on Reimannian manifolds , 1991 .
[36] Weizhang Huang,et al. A Simple Adaptive Grid Method in Two Dimensions , 1994, SIAM J. Sci. Comput..
[37] Shing-Tung Yau,et al. Current Developments in Mathematics 1995 , 1996 .
[38] Tsu-Fen Chen,et al. Numerical construction of optimal adaptive grids in two spatial dimensions , 2000 .
[39] J. Brackbill,et al. Adaptive zoning for singular problems in two dimensions , 1982 .
[40] H. A. Hassan,et al. Application of a variational method for generating adaptive grids. [for gas dynamics past airfoils] , 1985 .
[41] J. Moser. On the volume elements on a manifold , 1965 .
[42] L. Kantorovich. On the Translocation of Masses , 2006 .
[43] Guojun Liao,et al. A moving grid finite‐element method using grid deformation , 1995 .
[44] Pavel B. Bochev,et al. Analysis and computation of adaptive moving grids by deformation , 1996 .
[45] J. Brackbill,et al. FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions , 1986 .
[46] Giovanni Lapenta. Variational grid adaptation based on the minimization of local truncation error: time-independent problems , 2004 .
[47] J. U. Brackbill,et al. FLIP MHD: a particle-cell method for magnetohydrodynamics , 1991 .
[48] D. A. Knoll,et al. On Newton-Krylov Multigrid Methods for the Incompressible Navier-Stokes Equations , 2000 .
[49] A. M. Winslow. Numerical Solution of the Quasilinear Poisson Equation in a Nonuniform Triangle Mesh , 1997 .
[50] William J. Rider,et al. A Multigrid Preconditioned Newton-Krylov Method , 1999, SIAM J. Sci. Comput..
[51] Feng Liu,et al. An Adaptive Grid Method and Its Application to Steady Euler Flow Calculations , 1998, SIAM J. Sci. Comput..
[52] Guojun Liao,et al. A new approach to grid generation , 1992 .
[53] M WinslowAlan. Numerical Solution of the Quasilinear Poisson Equation in a Nonuniform Triangle Mesh , 1997 .
[54] Y. Brenier. Polar Factorization and Monotone Rearrangement of Vector-Valued Functions , 1991 .
[55] Joe F. Thompson. A survey of dynamically-adaptive grids in the numerical solution of partial differential equations , 1984 .
[56] Robert D. Russell,et al. A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation , 1999, SIAM J. Sci. Comput..
[57] Shing-Tung Yau,et al. On univalent harmonic maps between surfaces , 1978 .
[58] Weizhang Huang,et al. Variational mesh adaptation: isotropy and equidistribution , 2001 .
[59] Erik M. Pedersen,et al. Solution adaptive direct variational grids for fluid flow calculations , 1996 .
[60] J. Brackbill. An adaptive grid with directional control , 1993 .
[61] L. Petzold,et al. Moving Mesh Methods with Upwinding Schemes for Time-Dependent PDEs , 1997 .
[62] Joe F. Thompson,et al. Numerical grid generation: Foundations and applications , 1985 .