Discrete gradient methods in image processing and partial differential equations on moving meshes
Doctoral thesis
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http://hdl.handle.net/11250/2566152Utgivelsesdato
2018Metadata
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Paper 1: Ringholm, Torbjørn. Adaptive first integral preserving methods for PDEs. Proceedings in Applied Mathematics and Mechanics : PAMM 2016 Published version available at https://doi/org/10.1002/pamm.201610454Paper 2: Sølve Eidnes, Brynjulf Owren and Torbjørn Ringholm Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics, June 2018, Volume 44, Issue 3, pp 815–839 Published version available at https://doi.org/10.1007/s10444-017-9562-8
Paper 3: Eidnes, Sølve; Ringholm, Torbjørn. Energy preserving moving mesh methods applied to the BBM equation. MekIT '17
Paper 4: Ringholm, Torbjørn; Lazic, Jasmina; Schönlieb, Carola-Bibiane. Variational image regularization with Euler's elastica using a discrete gradient scheme. SIAM Journal of Imaging Sciences 2018, Vol. 11, No. 4, pp. 2665-2691 - Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. Published version available at https://doi.org/10.1137/17M1162354
Paper 5: Matthias Ehrhardt, Erlend Riis, Torbjørn Ringholm and Carola-Bibiane Schönlieb A geometric integration approach to smooth optimisation: Foundations of the discrete gradient method https://arxiv.org/abs/1805.06444
Paper 6: Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. SIAM Journal on Scientific Computing 2018 ;Volum 40.(6) - Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. Published version available at https://doi.org/10.1137/18M1190628
Paper 7: Elena Celledoni, Sølve Eidnes, Brynjulf Owren and Torbjørn Ringholm. Energy preserving methods on Riemannian manifolds. https://arxiv.org/pdf/1805.07578.pdf