Spectral mimetic least-squares method for div-curl systems

Spectral mimetic least-squares method for div-curl systems

Gerritsma, M.I. (TU Delft Aerodynamics)
Palha da Silva Clérigo, A. (TU Delft Aerodynamics; Eindhoven University of Technology)

Lirkov, Ivan (editor)
Margenov, Svetozar (editor)

2018

In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For N= 1 the method does not converge.

Div-curl system
Mimetic methods
Spectral element method

http://resolver.tudelft.nl/uuid:4aeefff3-b2a1-4c3b-a77b-0a956605bd69

https://doi.org/10.1007/978-3-319-73441-5_10

Springer

9783319734408

Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers

11th International Conference on Large-Scale Scientific Computations, LSSC 2017, 2017-09-11 → 2017-09-15, Sozopol, Bulgaria

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 0302-9743, 10665 LNCS

Institutional Repository

conference paper

© 2018 M.I. Gerritsma, A. Palha da Silva Clérigo