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Description: |
Very high order methods enable to substantially reduce the computational effort while producing high accuracy approximations. They also provide high spectral resolution to catch very small structures with respect to the mesh parameter size. Three major issues have to be addressed to design such very high order schemes: (1) the stability (avoid non-physical oscillations when dealing with discontinuities), (2) preserve the optimal global order with curved boundary domains, (3) reduce the high conditioning number of the global matrix to take advantage of the floating number precision (Nº of digits). I present an overview of my researches to tackle these issues:
1) the introduction of the "a posteriori" paradigm to control non-physical oscillations while maintaining very high accuracy;
2) the Reconstruction of Off-site Data technology to achieve very high order approximation on complex domain without curved cell or isoparametric elements;
3) the Structural Method, which is a very brand-new technique I am developing since 2022 to provide very compact scheme and reducing the conditioning.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Stéphane Clain (CMUC, Univ. Coimbra)
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Institution: |
CMUC, Department of Mathematics, University of Coimbra
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Place: |
Room 5.5
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| Research Groups: |
-Numerical Analysis and Optimization
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See more:
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