Spectral Decomposition to Solve the Elasticity Problem in Quasi-static Formulation Full article
| Conference |
Computational Science and Its Applications 30 Jun - 3 Jul 2025 , Istanbul |
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| Source | Computational Science and Its Applications (ICCSA 2025 Workshops) : Proceedings Compilation, Springer Cham. Switzerland.2026. 462 c. ISBN 978-3-031-97596-7. |
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| Journal |
Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349 |
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| Output data | Year: 2025, Volume: 15888, Pages: 343-358 Pages count : 16 DOI: 10.1007/978-3-031-97596-7_23 | ||
| Tags | Poroelasticity, Biot equation, Elasticity · finite differences, Laplace operator, spectral decomposition, SLAE, iterative methods, HPC, shared memory systems | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 19-77-20004-П |
Abstract:
In this paper we consider the problem of numerical solution of the boundary value problem of the theory of elasticity in static formulation in a rectangle with arbitrary boundary conditions. For this purpose, we use the approach of splitting in the direction of the Laplace operator based on its spectral decomposition, which is similar to the discrete Fourier transform but does not require periodicity of the boundary conditions. A fast matrix-to-vector multiplication algorithm is proposed using an efficiently software-implemented matrix multiplication algorithm. Numerical experiments are performed to show the effectiveness of the proposed method with the ability to solve the elasticity problem on a mesh of .109 nodes on systems with 128G RAM.
Cite:
Solovyev S.
, Lisitsa V.
Spectral Decomposition to Solve the Elasticity Problem in Quasi-static Formulation
In compilation Computational Science and Its Applications (ICCSA 2025 Workshops) : Proceedings. – Springer Cham., 2025. – Т.Part III. – C.343-358. – ISBN 978-3-031-97596-7. DOI: 10.1007/978-3-031-97596-7_23 Scopus OpenAlex
Spectral Decomposition to Solve the Elasticity Problem in Quasi-static Formulation
In compilation Computational Science and Its Applications (ICCSA 2025 Workshops) : Proceedings. – Springer Cham., 2025. – Т.Part III. – C.343-358. – ISBN 978-3-031-97596-7. DOI: 10.1007/978-3-031-97596-7_23 Scopus OpenAlex
Dates:
| Published print: | May 28, 2025 |
| Published online: | May 28, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105010829926 |
| OpenAlex: | W4412059035 |
Citing:
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