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In applied mathematics, Loubignac iteration is an iterative method in finite element methods. It gives continuous stress field. It is named after Gilles Loubignac, who published the method in 1977.

References

Loubignac's paper

Numerical methods for partial differential equations

Finite difference

Parabolic	Forward-time central-space (FTCS) Crank–Nicolson
Hyperbolic	Lax–Friedrichs Lax–Wendroff MacCormack Upwind Method of characteristics
Others	Alternating direction-implicit (ADI) Finite-difference frequency-domain (FDFD) Finite-difference time-domain (FDTD)

Finite volume

Godunov
High-resolution
Monotonic upstream-centered (MUSCL)
Advection upstream-splitting (AUSM)
Riemann solver
Essentially non-oscillatory (ENO)
Weighted essentially non-oscillatory (WENO)

Finite element

Meshless/Meshfree

Smoothed-particle hydrodynamics (SPH)
Peridynamics (PD)
Moving particle semi-implicit method (MPS)
Material point method (MPM)
Particle-in-cell (PIC)

Domain decomposition

Schur complement
Fictitious domain
Schwarz alternating
- additive
- abstract additive
Neumann–Dirichlet
Neumann–Neumann
Poincaré–Steklov operator
Balancing (BDD)
Balancing by constraints (BDDC)
Tearing and interconnect (FETI)
FETI-DP

Others

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