Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing
暂无分享,去创建一个
[1] R. LeVeque,et al. A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources , 2006 .
[2] J. Sethian,et al. A Fast Level Set Method for Propagating Interfaces , 1995 .
[3] T. Aslam. A partial differential equation approach to multidimensional extrapolation , 2004 .
[4] Stanley Osher,et al. A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow , 1997 .
[5] Huajian Gao,et al. A Numerical Study of Electro-migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid , 1999 .
[6] James Demmel,et al. A Supernodal Approach to Sparse Partial Pivoting , 1999, SIAM J. Matrix Anal. Appl..
[7] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[8] William L. Briggs,et al. A multigrid tutorial, Second Edition , 2000 .
[9] G. Golub. Matrix computations , 1983 .
[10] J. Dendy. Black box multigrid , 1982 .
[11] J. Sethian,et al. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .
[12] Zhilin Li,et al. The Immersed Interface/Multigrid Methods for Interface Problems , 2002, SIAM J. Sci. Comput..
[13] Alex M. Andrew,et al. Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition) , 2000 .
[14] J. Bonevich,et al. Superconformal Electrodeposition of Copper in 500–90 nm Features , 2000 .
[15] James A. Sethian,et al. Flow under Curvature: Singularity Formation, Minimal Surfaces, and Geodesics , 1993, Exp. Math..
[16] James A. Sethian,et al. The Fast Construction of Extension Velocities in Level Set Methods , 1999 .
[17] Zhilin Li,et al. The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains (Frontiers in Applied Mathematics) , 2006 .
[18] Ullrich Rüde. Mathematical and Computational Techniques for Multilevel Adaptive Methods , 1987 .
[19] John E. Bonevich,et al. A Simple Equation for Predicting Superconformal Electrodeposition in Submicrometer Trenches , 2001 .
[20] J. Sethian. Curvature and the evolution of fronts , 1985 .
[21] Hongkai Zhao,et al. An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface , 2003, J. Sci. Comput..
[22] S. Osher,et al. A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method) , 1999 .
[23] T. Belytschko,et al. MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD , 2001 .
[24] J. Strikwerda. Finite Difference Schemes and Partial Differential Equations , 1989 .
[25] Y. Saad,et al. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .
[26] T. Moffat,et al. Superconformal electrodeposition in submicron features. , 2001, Physical review letters.
[27] Thomas P. Moffat,et al. Modeling superconformal electrodeposition in trenches , 2002, ITherm 2002. Eighth Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (Cat. No.02CH37258).
[28] A. Brandt,et al. The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients , 1981 .
[29] William L. Briggs,et al. A multigrid tutorial , 1987 .
[30] Panayotis C. Andricacos,et al. Damascene copper electroplating for chip interconnections , 1998, IBM J. Res. Dev..
[31] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[32] James A. Sethian,et al. Numerical Methods for Propagating Fronts , 1987 .
[33] J. K. Hunter,et al. Reactive autophobic spreading of drops , 2002 .
[34] Julio Michael Stern,et al. Generalized line criterion for Gauss-Seidel method , 2003 .
[35] Kazufumi Ito,et al. Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients , 2001, SIAM J. Sci. Comput..
[36] G. Golub,et al. Gmres: a Generalized Minimum Residual Algorithm for Solving , 2022 .
[37] Edward H. Twizell,et al. Second-order,L0-stable methods for the heat equation with time-dependent boundary conditions , 1996, Adv. Comput. Math..
[38] J. W. Thomas. Numerical Partial Differential Equations: Finite Difference Methods , 1995 .
[39] Zhilin Li. The immersed interface method: a numerical approach for partial differential equations with interfaces , 1995 .
[40] Marko Subasic,et al. Level Set Methods and Fast Marching Methods , 2003 .
[41] J. Sethian. AN ANALYSIS OF FLAME PROPAGATION , 1982 .
[42] R. LeVeque. Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .
[43] Thomas P. Moffat,et al. Modeling Superconformal Electrodeposition Using The Level Set Method , 2003 .
[44] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[45] H. Holden,et al. Front Tracking for Hyperbolic Conservation Laws , 2002 .
[46] S. McCormick,et al. A multigrid tutorial (2nd ed.) , 2000 .
[47] Ronald Fedkiw,et al. The immersed interface method. Numerical solutions of PDEs involving interfaces and irregular domains , 2007, Math. Comput..
[48] Peter McCorquodale,et al. A Cartesian grid embedded boundary method for the heat equation on irregular domains , 2001 .
[49] J A Sethian,et al. A fast marching level set method for monotonically advancing fronts. , 1996, Proceedings of the National Academy of Sciences of the United States of America.
[50] J. Sethian,et al. Transport and diffusion of material quantities on propagating interfaces via level set methods , 2003 .
[51] A. West. Theory of filling of high-aspect ratio trenches and vias in presence of additives , 2000 .
[52] R. LeVeque. Numerical methods for conservation laws , 1990 .
[53] P. Colella,et al. A Cartesian Grid Embedded Boundary Method for Poisson's Equation on Irregular Domains , 1998 .
[54] J. Strikwerda. Finite Difference Schemes and Partial Differential Equations, Second Edition , 2004 .
[55] Timothy A. Davis,et al. Direct methods for sparse linear systems , 2006, Fundamentals of algorithms.