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Modeling Excitable ...
Modeling Excitable Cells with the EMI Equations : Spectral Analysis and Iterative Solution Strategy
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- Benedusi, Pietro (författare)
- Simula Res Lab, Oslo, Norway.;Univ Svizzera Italiana, Euler Inst, Lugano, Switzerland.
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- Ferrari, Paola (författare)
- Univ Wuppertal, Sch Math & Nat Sci, Wuppertal, Germany.
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- Rognes, Marie E. (författare)
- Simula Res Lab, Oslo, Norway.
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- Serra-Capizzano, Stefano (författare)
- Uppsala universitet,Avdelningen för beräkningsvetenskap,Numerisk analys,Insubria Univ, Como, Italy
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Simula Res Lab, Oslo, Norway;Univ Svizzera Italiana, Euler Inst, Lugano, Switzerland. Univ Wuppertal, Sch Math & Nat Sci, Wuppertal, Germany. (creator_code:org_t)
- Springer, 2024
- 2024
- Engelska.
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Ingår i: Journal of Scientific Computing. - : Springer. - 0885-7474 .- 1573-7691. ; 98:3
- Relaterad länk:
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https://doi.org/10.1...
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https://uu.diva-port... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- In this work, we are interested in solving large linear systems stemming from the extra-membrane-intra model, which is employed for simulating excitable tissues at a cellular scale. After setting the related systems of partial differential equations equipped with proper boundary conditions, we provide its finite element discretization and focus on the resulting large linear systems. We first give a relatively complete spectral analysis using tools from the theory of Generalized Locally Toeplitz matrix sequences. The obtained spectral information is used for designing appropriate preconditioned Krylov solvers. Through numerical experiments, we show that the presented solution strategy is robust w.r.t. problem and discretization parameters, efficient and scalable.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Spectral distribution
- Symbol
- Electrophysiology
- Preconditioning
- Iterative solvers
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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