Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators
Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators
Abstract Given a linear self-adjoint differential operator $$\mathscr {L}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>L</mml:mi> </mml:math> along with a discretization scheme (like Finite Differences, Finite Elements, Galerkin Isogeometric Analysis, etc.), in many numerical applications it is crucial to understand how good the (relative) approximation of the whole spectrum of the discretized operator $$\mathscr …