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NASC Seminar: Maxwell in a cylinder via orthogonal polynomials for the de Rham complex

Dates:9 October 2026
Times:12:00 - 13:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, Current University students
Speaker:Sheehan Olver
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Numerical analysis and scientific computing"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

Speaker: Sheehan Olver (Imperial College London)

Abstract: We construct vector-valued multivariate orthogonal polynomials that capture the structure of the de Rham complex (i.e., the gradient, curl and divergence) with boundary conditions in disks and cylinders (both periodic and finite) in a way that respects rotational symmetry. This construction naturally gives bases in cylinders with simple recurrences relating their gradient, curl and divergence, which leads to an optimal complexity solverfor Maxwell and Hodge-Laplacian equations in a cylinder. The approach extends to other classical elements like balls and tetrahedra.

Speaker

Sheehan Olver

Organisation: Imperial College London

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Frank Adams Room 1
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Marcus Webb

marcus.webb@manchester.ac.uk

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