Separable representations of the Poisson, Helmholtz and complex Helmholtz kernels
Permanent link
https://hdl.handle.net/10037/10840Date
2017-02-15Type
Master thesisMastergradsoppgave
Author
Bjørgve, MagnarAbstract
For high accuracy applications of integral operators in higher dimensions the
complexity of operation and storage usually grows exponentially with dimensions.
One method that has proven successful for handling these difficulties are the
separation of the integral kernels as linear combinations of products of
one-dimensional kernels, commonly referred to as separation of variables.
In this thesis we optimize the existing separable forms of the Poisson and
complex Helmholtz kernels used in the program package MRCPP. We then find a new
separable representation of the (non-complex) Helmholtz kernel.
Publisher
UiT Norges arktiske universitetUiT The Arctic University of Norway
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