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CIP-FEM for Nonlinear Helmholtz Systems at High Wavenumbers

https://doi.org/10.2139/ssrn.5709804
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Complex coordinate stretching as a generalized absorbing boundary condition
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A perfectly matched layer for the absorption of electromagnetic waves
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On the existence and convergence of the solution of PML equations
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A continuation fixed-point iterative method on harmonic generations with strong nonlinear optical effects in multi-layer structures
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Finite element solution of the Helmholtz equation with high wave number Part I: The h-version of the FEM
inferredcites →https://doi.org/10.1016/j.cam.2005.01.045openalex-snapshot
Numerical solution of nonlinear diffraction problems
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A radiation and propagation problem for a Helmholtz equation with a compactly supported nonlinearity
inferredcites →https://doi.org/10.1016/j.jcp.2017.04.046openalex-snapshot
Robust iterative method for nonlinear Helmholtz equation
inferredcites →https://doi.org/10.1017/s0956792500002072openalex-snapshot
Diffractive optics in nonlinear media with periodic structure
inferredcites →https://doi.org/10.1090/mcom/3457openalex-snapshot
Stability and finite element error analysis for the Helmholtz equation with variable coefficients
inferredcites →https://doi.org/10.1090/mcom/3722openalex-snapshot
Multiscale scattering in nonlinear Kerr-type media
inferredcites →https://doi.org/10.1090/s0025-5718-06-01930-2openalex-snapshot
Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems
inferredcites →https://doi.org/10.1090/s0025-5718-10-02362-8openalex-snapshot
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
inferredcites →https://doi.org/10.1093/imanum/drt033openalex-snapshot
Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. Part I: linear version
inferredcites →https://doi.org/10.1137/040604315openalex-snapshot
Convergence Analysis of the Perfectly Matched Layer Problems for Time-Harmonic Maxwell's Equations
inferredcites →https://doi.org/10.1137/040610337openalex-snapshot
An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems
inferredcites →https://doi.org/10.1137/090776202openalex-snapshot
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
inferredcites →https://doi.org/10.1137/120874643openalex-snapshot
Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version
inferredcites →https://doi.org/10.1137/140953125openalex-snapshot
Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
inferredcites →https://doi.org/10.1137/17m111314xopenalex-snapshot
Finite Element Method and its Analysis for a Nonlinear Helmholtz Equation with High Wave Numbers
inferredcites →https://doi.org/10.1137/17m1140522openalex-snapshot
FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation
inferredcites →https://doi.org/10.1137/21m143827xopenalex-snapshot
Dispersion Analysis of CIP-FEM for the Helmholtz Equation
inferredcites →https://doi.org/10.1137/21m1459381openalex-snapshot
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number
inferredcites →https://doi.org/10.1137/23m1546178openalex-snapshot
Sharp Preasymptotic Error Bounds for the Helmholtz \(\boldsymbol{h}\)-FEM
inferredcites →https://doi.org/10.1137/s0036141095284461openalex-snapshot
A Nonlinear Grating Problem in Diffractive Optics
inferredcites →https://doi.org/10.1137/s0036142902400901openalex-snapshot
An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
inferredcites →https://doi.org/10.1137/s0036142994272337openalex-snapshot
Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
inferredcites →https://doi.org/10.1137/s1064827596301406openalex-snapshot
The Perfectly Matched Layer in Curvilinear Coordinates
inferredcites →https://doi.org/10.4208/cicp.150710.290910aopenalex-snapshot
Continuation Finite Element Simulation of Second Harmonic Generation in Photonic Crystals
inferredcites →https://doi.org/10.4310/cms.2022.v20.n1.a1openalex-snapshot
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers
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