Zobrazeno 1 - 10
of 52
pro vyhledávání: '"YAVOR VUTOV"'
Publikováno v:
Mathematics, Vol 10, Iss 13, p 2327 (2022)
A new class of high-performance preconditioned iterative solution methods for large-scale finite element method (FEM) elliptic systems is proposed and analyzed. The non-overlapping domain decomposition (DD) naturally introduces coupling operator at t
Externí odkaz:
https://doaj.org/article/5b6c8a85ea274c5a90f64088dab0f4aa
Publikováno v:
Fractal and Fractional, Vol 5, Iss 3, p 61 (2021)
Numerical methods for spectral space-fractional elliptic equations are studied. The boundary value problem is defined in a bounded domain of general geometry, Ω⊂Rd, d∈{1,2,3}. Assuming that the finite difference method (FDM) or the finite elemen
Externí odkaz:
https://doaj.org/article/1a77485c8b0c4055be1bc12a4995b506
Publikováno v:
Mathematics and Computers in Simulation. 189:85-98
Let us consider the non-local problem − L α u = f , α ∈ ( 0 , 1 ) , L is a second order self-adjoint elliptic operator in Ω ⊂ R d with Neumann boundary conditions on ∂ Ω . The problem is discretized by finite difference or finite element
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::424780b6a711b2be1909e89a4eed656f
https://doi.org/10.1016/j.matcom.2020.07.018
https://doi.org/10.1016/j.matcom.2020.07.018
Autor:
Oleg Iliev, Zahra Lakdawala, Katherine H.L. Neßler, Torben Prill, Yavor Vutov, Yongfei Yang, Jun Yao
Publikováno v:
Mathematical Modelling and Analysis, Vol 22, Iss 5 (2017)
Pore-scale modeling and simulation of reactive flow in porous media has a range of diverse applications, and poses a number of research challenges. It is known that the morphology of a porous medium has significant influence on the local flow rate, w
Externí odkaz:
https://doaj.org/article/db6122d2e1ed4115a796b4678289570b
Publikováno v:
Large-Scale Scientific Computing ISBN: 9783030975487
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ead2aa2a532842ed85660956e67ff49
https://doi.org/10.1007/978-3-030-97549-4_6
https://doi.org/10.1007/978-3-030-97549-4_6
Publikováno v:
Mathematics; Volume 10; Issue 13; Pages: 2327
A new class of high-performance preconditioned iterative solution methods for large-scale finite element method (FEM) elliptic systems is proposed and analyzed. The non-overlapping domain decomposition (DD) naturally introduces coupling operator at t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0735745007aa22344e26b29e883851f
https://doi.org/10.3390/math10132327
https://doi.org/10.3390/math10132327
Publikováno v:
Fractal and Fractional
Volume 5
Issue 3
Fractal and Fractional, Vol 5, Iss 61, p 61 (2021)
Volume 5
Issue 3
Fractal and Fractional, Vol 5, Iss 61, p 61 (2021)
Numerical methods for spectral space-fractional elliptic equations are studied. The boundary value problem is defined in a bounded domain of general geometry, Ω⊂Rd, d∈{1,2,3}. Assuming that the finite difference method (FDM) or the finite elemen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2b947756701bca130b12989be7a61f3
Publikováno v:
Large-Scale Scientific Computing ISBN: 9783030410315
LSSC
LSSC
We consider the simulation of thermal and electrical processes, involved in a radio-frequency ablation procedure. Radio-frequency ablation is a low invasive technique for treatment of hepatic tumors, utilizing AC current to destroy unwanted tissues b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22faf5484cf9e78ea997577a29c1dbb4
Parallel BURA Based Numerical Solution of Fractional Laplacian with Pure Neumann Boundary Conditions
Publikováno v:
Large-Scale Scientific Computing ISBN: 9783030410315
LSSC
LSSC
The study is motivated by the increased usage of fractional Laplacian in the modeling of nonlocal problems like anomalous diffusion. We present a parallel numerical solution method for the nonlocal elliptic problem: \(-\varDelta ^\alpha u = f\), \(0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34eb1338bc836826c875b4c0719d6538
https://doi.org/10.1007/978-3-030-41032-2_32
https://doi.org/10.1007/978-3-030-41032-2_32
Autor:
SVETOZAR MARGENOV, YAVOR VUTOV
Publikováno v:
TASK Quarterly, Vol 11, Iss 1-2 (2007)
The presented comparative analysis concerns two iterative solvers for large-scale linear systems related to µFEM simulation of human bones. The considered scalar elliptic problems represent the strongly heterogeneous structure of real bone specimens
Externí odkaz:
https://doaj.org/article/1b09203d43d04450ad8b51882fb28dc1