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Orthogonalise polynomial sets#495

Merged
mscroggs merged 9 commits intomainfrom
mscroggs/orthogonalise
May 17, 2022
Merged

Orthogonalise polynomial sets#495
mscroggs merged 9 commits intomainfrom
mscroggs/orthogonalise

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@mscroggs mscroggs commented May 13, 2022

Orthogonalise the polynomial basis during element construction.

This reduces the condition number of the dual matrices. eg for serendipity elements (built-in = current elements on main, orthogonalised = after this PR):

image

This has a knock on effect of reducing the error when solving problems, eg:

image

@mscroggs mscroggs marked this pull request as draft May 13, 2022 09:14
@mscroggs mscroggs changed the title Add empty function Orthogonalise polynomial sets May 13, 2022
@mscroggs mscroggs marked this pull request as ready for review May 13, 2022 09:29
@mscroggs mscroggs merged commit b257d86 into main May 17, 2022
@mscroggs mscroggs deleted the mscroggs/orthogonalise branch May 17, 2022 07:03
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2 participants