Neumann–Dirichlet method
In mathematics, the Neumann–Dirichlet method is a domain decomposition preconditioner which involves solving Neumann boundary value problem on one subdomain and Dirichlet boundary value problem on another, adjacent across the interface between the subdomains.[1] On a problem with many subdomains organized in a rectangular mesh, the subdomains are assigned Neumann or Dirichlet problems in a checkerboard fashion.
See also
References
- ^ O. B. Widlund, Iterative substructuring methods: algorithms and theory for elliptic problems in the plane, in First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987), SIAM, Philadelphia, PA, 1988, pp. 113–128.
- v
- t
- e
| Parabolic |
|
|---|---|
| Hyperbolic |
|
| Others |
|
- hp-FEM
- Extended (XFEM)
- Discontinuous Galerkin (DG)
- Spectral element (SEM)
- Mortar
- Gradient discretisation (GDM)
- Loubignac iteration
- Smoothed (S-FEM)
- Smoothed-particle hydrodynamics (SPH)
- Peridynamics (PD)
- Moving particle semi-implicit method (MPS)
- Material point method (MPM)
- Particle-in-cell (PIC)
- Schur complement
- Fictitious domain
- Schwarz alternating
- Neumann–Dirichlet
- Neumann–Neumann
- Poincaré–Steklov operator
- Balancing (BDD)
- Balancing by constraints (BDDC)
- Tearing and interconnect (FETI)
- FETI-DP
- Spectral
- Pseudospectral (DVR)
- Method of lines
- Multigrid
- Collocation
- Level-set
- Boundary element
- Method of moments
- Immersed boundary
- Analytic element
- Isogeometric analysis
- Infinite difference method
- Infinite element method
- Galerkin method
- Validated numerics
- Computer-assisted proof
- Integrable algorithm
- Method of fundamental solutions
 | This applied mathematics-related article is a stub. You can help Wikipedia by expanding it. |
- v
- t
- e
