Assessing the quality of curvilinear coordinate meshes by decomposing the Jacobian matrix

DOI10.1016/0096-3003(82)90222-3zbMath0493.65064OpenAlexW2045610619MaRDI QIDQ1168717

G. David Kerlick, Goetz H. Klopfer

Publication date: 1982

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(82)90222-3

zbMATH Keywords

Lagrange multiplierstruncation errorLaplace's equationcell orientationcell volumeadaptive mesh algorithmscell orthogonalitycurvilinear coordinate meshesdecomposition of the Jacobian matrix

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Cites Work

• Unnamed Item
• Implicit Algorithm for the Conservative Transonic Full-Potential Equation Using an Arbitrary Mesh
• A Noniterative Method for the Generation of Orthogonal Coordinates in Doubly-Connected Regions
• Ricci-Calculus