Can you help me? Does anyone have a FEM code for Singular perturbation problems in 1D?

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Tatjana Mirkovic
Tatjana Mirkovic 2020년 6월 14일
편집: Precise Simulation 2020년 6월 15일
Does anyone have a FEM for Differential equation epsilon u''+a(x)u'(x)+b(x)u(x)=f(x), u(a)=A, u(b)=B?

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Precise Simulation
Precise Simulation 2020년 6월 15일
편집: Precise Simulation 2020년 6월 15일
Although the PDE Toolbox only currently supports 2D and 3D geometries, you should be able to "simulate" a 1D geometry by using a thin "pseudo" 2D rectangular geometry with no variation in the y-directions, and homogenous boundary conditions at the y-boundaries. Alternatively, the FEATool Multiphysics toolbox fully supports defining and solving custom 1D PDEs directly.

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