discrete Poisson equation

URI: https://gptkb.org/entity/discrete_Poisson_equation
GPTKB entity
Statements (37)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application fluid dynamics
heat transfer
electrostatics
gptkbp:borders gptkb:Dirichlet_boundary_condition
gptkb:Neumann_boundary_condition
gptkbp:category linear system
elliptic equation
gptkbp:commonGrid rectangular grid
structured grid
gptkbp:dimensions 3D
2D
gptkbp:discretizationOf gptkb:Poisson_equation
gptkbp:field numerical analysis
partial differential equations
gptkbp:form Ax = b
https://www.w3.org/2000/01/rdf-schema#label discrete Poisson equation
gptkbp:matrixRepresentation positive definite matrix
symmetric matrix
sparse matrix
gptkbp:notation Δu = f (discretized)
gptkbp:relatedTo gptkb:Laplace_equation
gptkb:Poisson_equation
gptkb:Gauss-Seidel_method
gptkb:Successive_Over-Relaxation_(SOR)
Jacobi method
LU decomposition
Conjugate Gradient method
gptkbp:solvedBy iterative methods
direct methods
multigrid methods
gptkbp:usedIn computational physics
scientific computing
image processing
finite difference methods
gptkbp:bfsParent gptkb:discrete_Laplacian
gptkbp:bfsLayer 8