Adaptive discrete thin plate spline smoother

Autor: Lishan Fang, Linda Stals

Publikováno v: ANZIAM Journal. 62:C45-C57

The discrete thin plate spline smoother fits smooth surfaces to large data sets efficiently. It combines the favourable properties of the finite element surface fitting and thin plate splines. The efficiency of its finite element grid is improved by

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6238c7b2ead631eed87b2eccb329b1a9
https://doi.org/10.21914/anziamj.v62.15979

Resiliency in numerical algorithm design for extreme scale simulations

Autor: Emmanuel Agullo, Mirco Altenbernd, Hartwig Anzt, Leonardo Bautista-Gomez, Tommaso Benacchio, Luca Bonaventura, Hans-Joachim Bungartz, Sanjay Chatterjee, Florina M Ciorba, Nathan DeBardeleben, Daniel Drzisga, Sebastian Eibl, Christian Engelmann, Wilfried N Gansterer, Luc Giraud, Dominik Göddeke, Marco Heisig, Fabienne Jézéquel, Nils Kohl, Xiaoye Sherry Li, Romain Lion, Miriam Mehl, Paul Mycek, Michael Obersteiner, Enrique S Quintana-Ortí, Francesco Rizzi, Ulrich Rüde, Martin Schulz, Fred Fung, Robert Speck, Linda Stals, Keita Teranishi, Samuel Thibault, Dominik Thönnes, Andreas Wagner, Barbara Wohlmuth

Publikováno v: International Journal of High Performance Computing Applications
International Journal of High Performance Computing Applications, SAGE Publications, 2021
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
The international journal of high performance computing applications 36(2), 251-285 (2022). doi:10.1177/10943420211055188
International Journal of High Performance Computing Applications, 2021, pp.10943420211055188. ⟨10.1177/10943420211055188⟩

This work is based on the seminar titled ``Resiliency in Numerical Algorithm Design for Extreme Scale Simulations'' held March 1-6, 2020 at Schloss Dagstuhl, that was attended by all the authors. Naive versions of conventional resilience techniques w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b05b71a6a20ec124273ae24745504d60
https://hal.inria.fr/hal-03348787/file/2010.13342.pdf

A Mixed Finite Element Discretisation of Thin Plate Splines Based on Biorthogonal Systems

Autor: Stephen Roberts, Linda Stals, Bishnu P. Lamichhane

Publikováno v: Journal of Scientific Computing. 67:20-42

The thin plate spline method is a widely used data fitting technique as it has the ability to smooth noisy data. Here we consider a mixed finite element discretisation of the thin plate spline. By using mixed finite elements the formulation can be de

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6b5874716b22fbbd8f5fb9725e9d0e20
https://doi.org/10.1007/s10915-015-0068-6

Fault-Tolerant Grid-Based Solvers: Combining Concepts from Sparse Grids and MapReduce

Autor: Alistair P. Rendell, Mohsin Ali, Jay Larson, Linda Stals, R. H. Nobes, Christoph Kowitz, Markus Hegland, Brendan Harding, Nicholas Wilson, James Southern, Peter Strazdins, Michael Li, Yasuyuki Oishi, Stephen Roberts

Publikováno v: ICCS

A key issue confronting petascale and exascale computing is the growth in probability of soft and hard faults with increasing system size. A promising approach to this problem is the use of algorithms that are inherently fault tolerant. We introduce

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::819c9aa15c6da1f2ba40f459c4700661

Smoothing large data sets using discrete thin plate splines

Autor: Linda Stals, Stephen Roberts

Publikováno v: Computing and Visualization in Science. 9:185-195

Traditional thin plate splines use radial basis functions and require the solution of a dense linear system of equations whose size is proportional to the number of data points. Instead of radial basis functions we present a method based on the use o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8bb5ea5d8dd67524a5486d34288070d0
https://doi.org/10.1007/s00791-006-0033-x