Examples on Finite Element Methods

We collect a list of finite element methods implemented in iFEM for solving various PDEs.

Poisson Equation 2D

• Poisson 2D: P1 Linear Element
• Poisson 2D: P2 Quadratic Element
• Poisson 2D: P3 Cubic Element
• Poisson 2D: CR Non-conforming Linear Element
• Poisson 2D: WG Weak Galerkin Element
• Poisson 2D: Linear Virtual Element

Poisson Equation 3D

• Poisson 3D: P1 Linear Element
• Poisson 3D: P2 Quadratic Element
• Poisson 3D: CR Non-conforming Linear Element
• Poisson 3D: WG Weak Galerkin Element

Poisson Equation 2D: Mixed Formulation

• Poisson 2D: RT0 Element
• Poisson 2D: BDM1 Element

Poisson Equation 3D: Mixed Formulation

• Poisson 3D: RT0 Element

Stokes Equations 2D

• Stokes 2D: CR-P0 Element
• Stokes 2D: P2-P0 Element
• Stokes 2D: P2-P1 Taylor-Hood Element
• Stokes 2D: isoP2-P0 Element
• Stokes 2D: isoP2-P1 Element
• Stokes 2D: P1b-P1 Element

Maxwell Equations

• Maxwell 3D: ND0 Lowest Order Edge Element
• Maxwell 3D: ND1 Linear Edge Element
• Maxwell 3D: ND2 Quadratic Edge Element

Hodge Laplacian Equations

Cahn-Hillard Equations