A method for generating boundary-orthogonal curvilinear coordinate systems using the biharmonic equation

DOI10.1016/0021-9991(85)90074-9zbMath0588.65080OpenAlexW2046990792MaRDI QIDQ1073558

Panagiotis Demetriou Sparis

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90074-9

zbMATH Keywords

Laplace equationPoisson equationbiharmonic operatorboundary-orthogonal coordinate systemgeneration of a boundary-fitted curvilinear coordinate system

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Numerical conformal mapping based on the generalised conjugation operator, Conjugate method solutions of the biharmonic equation for the generation of boundary orthogonal grids

Cites Work

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• Direct solution of the biharmonic equation using noncoupled approach
• A segmentation approach to grid generation using biharmonics
• Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
• TOMCAT - a code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two- dimensional bodies
• Some Difference Schemes for the Biharmonic Equation
• A General Coupled Equation Approach for Solving the Biharmonic Boundary Value Problem