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FEM and CIP-FEM for Helmholtz equation with high wave number and perfectly matched layer truncation
Y Li, H Wu - SIAM Journal on Numerical Analysis, 2019 - SIAM
The Helmholtz scattering problem with high wave number is truncated by the perfectly
matched layer (PML) technique and then discretized by the linear continuous interior penalty …
matched layer (PML) technique and then discretized by the linear continuous interior penalty …
A fictitious domain spectral method for solving the Helmholtz equation in exterior domains
We extend the fictitious domain spectral method presented in Gu and Shen (SIAM J Sci
Comput 43: A309–A329, 2021) for elliptic PDEs in bounded domains to the Helmhotlz …
Comput 43: A309–A329, 2021) for elliptic PDEs in bounded domains to the Helmhotlz …
A Highly Efficient and Accurate Divergence-Free Spectral Method for the Curl-Curl Equation in Two and Three Dimensions
In this paper, we present a fast divergence-free spectral algorithm for the curl-curl problem.
Divergence-free bases in two and three dimensions are constructed by using the …
Divergence-free bases in two and three dimensions are constructed by using the …
An adaptive finite element DtN method for the elastic wave scattering problem in three dimensions
Consider the elastic scattering of an incident wave by a rigid obstacle in three dimensions,
which is formulated as an exterior problem for the Navier equation. By constructing a …
which is formulated as an exterior problem for the Navier equation. By constructing a …
Energy-conserved splitting multidomain Legendre-Tau spectral method for two dimensional Maxwell's equations
C Niu, H Ma, D Liang - Journal of Scientific Computing, 2022 - Springer
In this paper, the energy-conserved splitting multidomain Legendre-tau Chebyshev-
collocation spectral method is proposed for solving two dimensional Maxwell's equations …
collocation spectral method is proposed for solving two dimensional Maxwell's equations …
Perfect absorbing layers for wave scattering problems and related topics
Y Gao - 2020 - dr.ntu.edu.sg
The main objective of this thesis is to design a truly exact and optimal perfect absorbing
layer (PAL) method for domain truncation of the two-dimensional Helmholtz equation in an …
layer (PAL) method for domain truncation of the two-dimensional Helmholtz equation in an …