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In this paper we are concerned with substructuring methods for the second-order elliptic problems in three-dimensional domains. We 痳st design a simple and completely explicit nearly harmonic extensi...
The uniaxial perfectly matched layer (PML) method uses rectangular domain to define the PML problem and thus provides greater flexibility and efficiency in dealing with prob- lems involving anisotro...
The uniaxial perfectly matched layer (PML) method uses rectangular domain to define the PML problem and thus provides greater flexibility and efficiency in dealing with prob- lems involving anisotro...
An adaptive perfectly matched layer (PML) technique for solv- ing the time harmonic electromagnetic scattering problems is developed. The PML parameters such as the thickness of the layer and the fi...
We develop an adaptive edge 痭ite element method based on reliable and e眂ient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with singularities. The r...
In this work we present the computer algebra package HarmonicSums and its theoretical background for the manipulation of harmonic sums and some related quantities as for example Euler-Zagier sums and...
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. ...
In this paper, we are concerned with a non-overlapping domain decomposition method for solving the low-frequency time-harmonic Maxwell's equations in unbounded domains.This method can be viewed as a c...
In this paper, we study natural boundary reduction for Laplace equation with Dirichlet or Neumann boundary condition in a three-dimensional unbounded domain, which is the outside domain of a prolate s...

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