An algorithm for aligning a quadrilateral grid with internal boundaries

DOI10.1006/jcph.2000.6560zbMath0963.65121OpenAlexW2042660758MaRDI QIDQ1587868

James M. Hyman, Shengtai Li, Patrick M. Knupp, Mikhail J. Shashkov

Publication date: 19 June 2001

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/547d49606edf80d47864eb62e941511870ff916c

zbMATH Keywords

algorithmMaxwell's equationsquadrilateral gridsmesh generation and refinementinternal alignment curves

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs with low regular coefficients and/or low regular data (35R05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Electromagnetic theory (general) (78A25) Finite difference methods for boundary value problems involving PDEs (65N06) Method of contraction of the boundary for boundary value problems involving PDEs (65N45)

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Cites Work

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• An adaptive grid with directional control
• A mixed finite element formulation for Maxwell's equations in the time domain
• Numerical methods for tracking interfaces
• Directional control in grid generation
• A coordinate system for a viscous transonic cascade analysis
• The immersed interface method for acoustic wave equations with discontinuous coefficients
• Mimetic discretizations for Maxwell's equations
• A divide-and-conquer algorithm for grid generation
• A survey of methods for constructing structured adaptive grids
• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
• Mesh generation using vector-fields
• A conservative shock fitting method on unstructured grids
• A Comparison of Three Mixed Methods for the Time-Dependent Maxwell’s Equations
• Jacobian-Weighted Elliptic Grid Generation