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math.NA2022
Finite Element Method for a Nonlinear PML Helmholtz Equation with High Wave Number
Run Jiang, Yonglin Li, Haijun Wu +1
A nonlinear Helmholtz equation (NLH) with high wave number and Sommerfeld radiation condition is approximated by the perfectly matched layer (PML) technique and then discretized by…
math.NA2022
A family of immersed finite element spaces and applications to three dimensional interface problems
Long Chen, Ruchi Guo, Jun Zou
Maxwell interface problems are of great importance in many electromagnetic applications. Unfitted mesh methods are especially attractive in 3D computation as they can circumvent ge…
math.NA2022
Least-Squares Method for Inverse Medium Problems
Kazufumi Ito, Ying Liang, Jun Zou
We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is a…