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mfem.gridfunction.computeError

Computes the L2 error between a grid function and a constant exact solution.

Syntax

mfem.gridfunction.computeError(gf, exactValue)

Description

Computes the L2 error between a grid function and a constant exact solution. The L2 error is defined as: ``` ||u - u_exact||_L2 = sqrt( ∫_Ω |u(x) - u_exact|² dx ) ``` This is useful for verifying solutions against known manufactured solutions or for convergence studies.

Parameters

NameDescription
gf- GridFunction (numerical solution)
exactValue- The constant exact solution value

Returns

number