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- W4308245306 abstract "We present a Calder'on preconditioning scheme for the symmetric formulation of the forward electroencephalographic (EEG) problem that cures both the dense discretization and the high-contrast breakdown. Unlike existing Calder'on schemes presented for the EEG problem, it is refinement-free, that is, the electrostatic integral operators are not discretized with basis functions defined on the barycentrically-refined dual mesh. In fact, in the preconditioner, we reuse the original system matrix thus reducing computational burden. Moreover, the proposed formulation gives rise to a symmetric, positive-definite system of linear equations, which allows the application of the conjugate gradient method, an iterative method that exhibits a smaller computational cost compared to other Krylov subspace methods applicable to non-symmetric problems. Numerical results corroborate the theoretical analysis and attest of the efficacy of the proposed preconditioning technique on both canonical and realistic scenarios." @default.
- W4308245306 created "2022-11-09" @default.
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- W4308245306 date "2022-11-03" @default.
- W4308245306 modified "2023-09-27" @default.
- W4308245306 title "On a Calder'on preconditioner for the symmetric formulation of the electroencephalography forward problem without barycentric refinements" @default.
- W4308245306 doi "https://doi.org/10.48550/arxiv.2211.01967" @default.
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