Method and apparatus for simulating physical fields

An apparatus for numerical analysis of a simulation of a physical system, the physical system being describable by Maxwell's field equations of which the following is a representation:

• ∇ × ( 1 μ ⁢ ∇ × A ) = J - ε ⁢ ∂ ∂ t ⁢ ( ∇ ⁢ V + ∂ A ∂ t ) ∇ · A = 0 ⁢ - ∇ ( ε ⁢ ⁢ ∇ ⁢ V ) = ρ ⁢ ⁢ E = - ∇ ⁢ V - ∂ A ∂ t ⁢ ⁢ B = ∇ × A
• where
• J=J(E,B,t)
• ρ=ρ(E,B,t)
• the apparatus comprising:
• means for directly solving the field equations modified by addition of a dummy field by numerical analysis, and
• means for outputting at least one parameter relating to a physical property of the system.

A method of numerical analysis of a simulation of a physical system, comprising:

• transmitting from a near location a description of the physical system to a remote location where a processing engine carries out a method of numerically analyzing a simulation of a physical system, the physical system being describable by Maxwell's field equations of which the following is a representation:
• ∇ × ( 1 μ ⁢ ∇ × A ) = J - ε ⁢ ∂ ∂ t ⁢ ( ∇ ⁢ V + ∂ A ∂ t ) ∇ · A = 0 ⁢ - ∇ ( ε ⁢ ⁢ ∇ ⁢ V ) = ρ ⁢ ⁢ E = - ∇ ⁢ V - ∂ A ∂ t ⁢ ⁢ B = ∇ × A
• where
• J=J(E,B,t)
• ρ=ρ(E,B,t)
• the method comprising:
• receiving at a near location at least one physical parameter related to the physical system;
• directly solving the field equations modified by addition of a dummy field by numerical analysis, and
• outputting at least one parameter relating to a physical property of the system.