A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations

X Antoine, A Arnold, C Besse, M Ehrhardt, A Schädle - 2009 - opus4.kobv.de
In this review article we discuss different techniques to solve numerically the time-dependent
Schrödinger equation on unbounded domains. We present in detail the most recent …

[KİTAP][B] An introduction to domain decomposition methods: algorithms, theory, and parallel implementation

V Dolean, P Jolivet, F Nataf - 2015 - SIAM
The purpose of this text is to offer an overview of the most popular domain decomposition
methods for partial differential equations (PDEs). The presentation is kept as much as …

A class of iterative solvers for the Helmholtz equation: Factorizations, swee** preconditioners, source transfer, single layer potentials, polarized traces, and …

MJ Gander, H Zhang - Siam Review, 2019 - SIAM
Solving time-harmonic wave propagation problems by iterative methods is a difficult task,
and over the last two decades an important research effort has gone into develo** …

A rapidly converging domain decomposition method for the Helmholtz equation

CC Stolk - Journal of Computational Physics, 2013 - Elsevier
A new domain decomposition method is introduced for the heterogeneous 2-D and 3-D
Helmholtz equations. Transmission conditions based on the perfectly matched layer (PML) …

[KİTAP][B] GratinGs: theory and numeric applications

E Popov - 2012 - books.google.com
Since the 80's, specialists of gratings can rely on very powerful grating softwares [1-6].
These softwares are able to compute grating efficiencies for almost any kind of grating in any …

Schwarz methods by domain truncation

MJ Gander, H Zhang - Acta Numerica, 2022 - search.proquest.com
Schwarz methods use a decomposition of the computational domain into subdomains and
need to impose boundary conditions on the subdomain boundaries. In domain truncation …

Optimized spatial modeling for optical CD metrology

P Jiang, L Poslavsky - US Patent 9,915,522, 2018 - Google Patents
Provided are scatterometry techniques for evaluating a 3D diffracting structure. In one
embodiment, a method involves providing a 3D spatial model of the diffracting structure and …

Topology optimization of thermophotonic problem for daytime passive radiative cooling

C Wang, Z Yu, M Zhou, X Qian - International Journal of Heat and Mass …, 2022 - Elsevier
Passive radiative cooling during the daytime requires efficient control of energy exchange in
heat conduction, convection and radiation in the cooling system. In the paper, topology …

An improved swee** domain decomposition preconditioner for the Helmholtz equation

CC Stolk - Advances in Computational Mathematics, 2017 - Springer
In this paper we generalize and improve a recently developed domain decomposition
preconditioner for the iterative solution of discretized Helmholtz equations. We introduce an …

Profile reconstruction in extreme ultraviolet (EUV) scatterometry: modeling and uncertainty estimates

H Gross, A Rathsfeld, F Scholze… - … Science and Technology, 2009 - iopscience.iop.org
Scatterometry as a non-imaging indirect optical method in wafer metrology is also relevant to
lithography masks designed for extreme ultraviolet lithography, where light with wavelengths …