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A survey of discontinuous Galerkin methods for solving the time domain Maxwell's equations
The discontinuous Galerkin (DG) method with different numerical fluxes is applied to the square wave guide problem to avoid spurious modes that arise from the application of standard finite element methods. These numerical ...
On the parameterization of ill-posed inverse problems arising from elliptic partial differential equations
Electric impedance tomography (EIT) consists in finding the conductivity inside a body from electrical measurements taken at its surface. This is a severely ill-posed problem: any numerical inversion scheme requires some ...