Conjugate method solutions of the biharmonic equation for the generation of boundary orthogonal grids
DOI10.1016/0045-7825(92)90179-NzbMath0814.65112MaRDI QIDQ1205670
Anastasios Karkanis, Stelianos Pergantis, Panagiotis Demetriou Sparis
Publication date: 1 April 1993
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
algorithmsbiharmonic equationfinite differencepreconditioned conjugate gradient methodsgeneration of curvilinear boundary-orthogonal grids
Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Cites Work
- Unnamed Item
- Unnamed Item
- A method for generating boundary-orthogonal curvilinear coordinate systems using the biharmonic equation
- The use of a preconditioned bi-conjugate gradient method for hybrid plasma stability analysis
- Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems
- 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
- Three dimensional grid generation using biharmonics
- A General Coupled Equation Approach for Solving the Biharmonic Boundary Value Problem