Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing
From MaRDI portal
Publication:933314
DOI10.1016/j.jcp.2008.03.001zbMath1141.82345OpenAlexW2123377007MaRDI QIDQ933314
Publication date: 21 July 2008
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc893148/
multigrid methodslevel set methodsconservative material level set methodsimmersed interface methodssemiconductor processsuperconformal electrodeposition
Statistical mechanics of semiconductors (82D37) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)
Related Items
A level set method to study foam processing: a validation study ⋮ A coupled level set and volume of fluid method with a re-initialisation step suitable for unstructured meshes ⋮ Multiscale modelling of evolving foams ⋮ An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries ⋮ An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies ⋮ A level-set method for convective-diffusive particle deposition ⋮ A finite element method for modeling surface growth and resorption of deformable solids ⋮ A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces ⋮ Spectral solutions of self-adjoint elliptic problems with immersed interfaces ⋮ A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized line criterion for Gauss-Seidel method
- Second-order, \(L_ 0\)-stable methods for the heat equation with time-dependent boundary conditions
- Curvature and the evolution of fronts
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Black box multigrid
- The fast construction of extension velocities in level set methods
- A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid
- A hybrid method for moving interface problems with application to the Hele-Shaw flow
- A partial differential equation approach to multidimensional extrapolation.
- An Eulerian formulation for solving partial differential equations along a moving interface
- Reactive autophobic spreading of drops.
- Transport and diffusion of material quantities on propagating interfaces via level set methods.
- A fast level set method for propagating interfaces
- Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
- A Supernodal Approach to Sparse Partial Pivoting
- Flow under Curvature: Singularity Formation, Minimal Surfaces, and Geodesics
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- A Multigrid Tutorial, Second Edition
- Finite Volume Methods for Hyperbolic Problems
- The Immersed Interface/Multigrid Methods for Interface Problems
- The Immersed Interface Method
- Modeling holes and inclusions by level sets in the extended finite element method
- A Cartesian grid embedded boundary method for the heat equation on irregular domains
