All issues
- 2024 Vol. 16
- 2023 Vol. 15
- 2022 Vol. 14
- 2021 Vol. 13
- 2020 Vol. 12
- 2019 Vol. 11
- 2018 Vol. 10
- 2017 Vol. 9
- 2016 Vol. 8
- 2015 Vol. 7
- 2014 Vol. 6
- 2013 Vol. 5
- 2012 Vol. 4
- 2011 Vol. 3
- 2010 Vol. 2
- 2009 Vol. 1
Weighthed vector finite element method and its applications
pdf (2112K)
/ Annotation
List of references:
- О дифференциальных свойствах Rν-обобщенного решения задачи Дирихле // ДАН. — 1989. — Т. 309, № 6. — С. 1318–1320.
- Differential properties of an Rν-generalized solution of the Dirichlet problem // Soviet Math. Dokl. — 1990. — V. 40. — P. 653–655. — MathSciNet: MR1045325. .
- O differentsial’nykh svoystvakh Rν-obobshchennogo resheniya zadachi Dirikhle // DAN. — 1989. — V. 309, no. 6. — P. 1318–1320. — in Russian. .
. - О существовании и единственности Rν-обобщенного решения для краевой задачи с несогласованным вырождением исходных данных // ДАН. — 2014. — Т. 458, № 3. — С. 261–263.
- On the existence and uniqueness of an Rν-generalized solution of a boundary value problem with uncoordinated degeneration of the input data // Docl. Math. — 2014. — V. 90, no. 2. — P. 562–564. — MathSciNet: MR3408915. .
- O sushchestvovanii i yedinstvennosti Rν-obobshchennogo resheniya dlya krayevoy zadachi s nesoglasovannym vyrozhdeniyem iskhodnykh dannykh // DAN. — 2014. — V. 458, no. 3. — P. 261–263. — in Russian. — DOI: 10.7868/S0869565214270061. .
. - О задаче Дирихле для эллиптического уравнения второго порядка с несогласованным вырождением исходных данных // Дифференциальные уравнения. — 1996. — Т. 32, № 3. — С. 402–408.
- On the Dirichlet problem for a second-order elliptic equation with noncoordinated degeneration of the initial data // Differ. Equ. — 1996. — V. 32, no. 3. — P. 406–412. — Math-Net: Mi eng/de8961. — MathSciNet: MR1435119. .
- O zadache Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka s nesoglasovannym vyrozhdeniyem iskhodnykh dannykhh // Differentsial’nyye uravneniya. — 1996. — V. 32, no. 3. — P. 402–408. — in Russian. .
. - О единственности Rν-обобщенного решения для краевых задач с несогласованным вырождением исходных данных // ДАН. — 2001. — Т. 376, № 4. — С. 451–453. — MathSciNet: MR1822289.
- On the uniqueness of the Rν-generalized solution of boundary value problems with noncoordinated degeneration of the initial data // Docl. Math. — 2001. — V. 63, no. 1. — P. 68–70. — MathSciNet: MR1833719. .
- O yedinstvennosti Rν-obobshchennogo resheniya dlya krayevykh zadach s nesoglasovannym vyrozhdeniyem iskhodnykh dannykh // DAN. — 2001. — V. 376, no. 4. — P. 451–453. — in Russian. .
. - О принадлежности Rν-обобщенного решения краевой задачи с сингулярностью пространству Wk+2 2,ν+β/2+k+1 (Ω, δ) // Дифференциальные уравнения. — 2009. — Т. 45, № 6. — С. 894–898.
- The Rν-generalized solution with a singularity of a boundary value problem belongs to the space Wk+2 2,ν+β/2+k+1 (Ω, δ) // Differ. Equ. — 2009. — V. 45, no. 6. — P. 913–917. — DOI: 10.1134/S0012266109060147. — MathSciNet: MR2597774. , .
- O prinadlezhnosti Rν-obobshchennogo resheniya krayevoy zadachi s singulyarnost’yu prostranstvu Wk+2 2,ν+β/2+k+1 (Ω, δ) // Differentsial’nyye uravneniya. — 2009. — V. 45, no. 6. — P. 894–898. — in Russian. , .
, . - Схема метода конечных элементов для краевой задачи с несогласованным вырождением исходных данных // Сиб. журн. вычисл. матем. — 2009. — Т. 12, № 3. — С. 313–324.
- A scheme of a finite element method for boundary value problems with noncoordinated degeneration of input data // Num. Anal. Appl. — 2009. — V. 2, no. 3. — P. 250–259. — DOI: 10.1134/S1995423909030069. — MathSciNet: MR2597774. , .
- Skhema metoda konechnykh elementov dlya krayevoy zadachi s nesoglasovannym vyrozhdeniyem iskhodnykh dannykh // Sib. zhurn. vychisl. matem. — 2009. — V. 12, no. 3. — P. 313–324. — in Russian. — Math-Net: Mi eng/sjvm25. , .
, . - Автоматизированный программный комплекс для поиска оптимального набора параметров весового метода конечных элементов на вычислительном кластере // Computational nanotechnology. — 2015. — № 1. — С. 9–19. — Math-Net: Mi rus/cn17.
- Automated software package for finding the optimal parameters set of the weighted finite element method on a computational cluster // Computational nanotechnology. — 2015. — no. 1. — P. 9–19. — in Russian. — Math-Net: Mi eng/cn17. , , , .
, , , . - Метод конечных элементов для первой краевой задачи с согласованным вырождением исходных данных // ДАН. — 1994. — Т. 338, № 6. — С. 731–733.
- The finite element method for the first boundary value problem with coordinated degeneration of the initial data // Russian Acad. Sci. Dokl. Math. — 1995. — V. 50, no. 2. — P. 335–339. — MathSciNet: MR1311312. , .
- Metod konechnykh elementov dlya pervoy krayevoy zadachi s soglasovannym vyrozhdeniyem iskhodnykh dannykh // DAN. — 1994. — V. 338, no. 6. — P. 731–733. — in Russian. , .
, . - Time-dependent Maxwell’s equations with charges in singular geometries // Computer Methods in Applied Mechanics and Engineering. — 2006. — V. 196. — P. 665–681. — DOI: 10.1016/j.cma.2006.07.007. — MathSciNet: MR2270148. — ads: 2006CMAME.196..665A. , , , .
- Singular electromagnetic fields: inductive approach // C.R. Acad. Sci. Paris, Ser. I. — 2005. — V. 341, no. 10. — P. 605–610. — DOI: 10.1016/j.crma.2005.09.034. — MathSciNet: MR2179799. , , , .
- Computational electromagnetism. — Boston: Academic Press, 1998. — 352 p. — 2nd Edition. — MathSciNet: MR1488417. .
- Field theory of guided waves. — New York: McGraw Hill Book Company, 1960. — 606 p. — MathSciNet: MR0116872. .
- Weighted regularization of Maxwell equations in polyhedral domains // Numer. Math. — 2002. — V. 93. — P. 239–277. — DOI: 10.1007/s002110100388. — MathSciNet: MR1941397. , .
- Finite elements in computational electromagnetism // Acta Numerica. — 2002. — V. 11. — P. 237–339. — DOI: 10.1017/S0962492902000041. — MathSciNet: MR2009375. .
- The Finite Element Method in Electromagnetics. — New York: John Wiley & Sons, 2002. — 755 p. — (2nd Edition). — MathSciNet: MR1903357. .
- A finite element method for approximating the time-harmonic Maxwell equations // Numer. Math. — 1992. — V. 63. — P. 243–261. — DOI: 10.1007/BF01385860. — MathSciNet: MR1182977. .
- Finite element methods for Maxwell’s equations. — Oxford: Clarendon Press, 2003. — 450 p. — MathSciNet: MR2059447. .
- Mixed finite elements in R3 // Numer. Math. — 1980. — V. 35. — P. 315–341. — DOI: 10.1007/BF01396415. — MathSciNet: MR0593835. .
- A new family of mixed finite elements in R3 // Numer. Math. — 1986. — V. 50. — P. 57–81. — DOI: 10.1007/BF01389668. — MathSciNet: MR0864305. .
- Tangential-displacement and normal–normal-stress continuous mixed finite elements for elasticity // Math. Models Methods Appl. Sci. — 2011. — V. 21. — P. 1761–1782. — DOI: 10.1142/S0218202511005568. — MathSciNet: MR2826472. , .
- An effcient edge-based level set fnite element method for free surface flow problems // Int. J. Numer. Meth. Fluids. — 2013. — V. 71. — P. 687–716. — DOI: 10.1002/fld.3680. — MathSciNet: MR3018286. , , , .
- The Finite Element Method For Boundary Value Problem With Strong Singularity // Journal of Computational and Applied Mathematics. — 2010. — V. 234, no. 9. — P. 2870–2882. — DOI: 10.1016/j.cam.2010.01.020. — MathSciNet: MR2652132. , .
- On the Error Estimation of the Finite Element Method for the Boundary Value Problems with Singularity in the Lebesgue Weighted Space // Numerical Functional Analysis and Optimization. — 2013. — V. 34, no. 12. — P. 1328–1347. — DOI: 10.1080/01630563.2013.809582. — MathSciNet: MR3175621. , .
- Weighted Finite-Element Method for Elasticity Problems with Singularity / Finite Element Method. Simulation, Numerical Analysis and Solution Techniques. — London: IntechOpen Limited, 2018. — P. 295— 311. — eds. P˘acurar R˘azvan. — MathSciNet: MR3797666. , .
- Weighted finite element method for the Stokes problem with corner singularity // Journal of Computational and Applied Mathematics. — 2018. — V. 341. — P. 144–156. — DOI: 10.1016/j.cam.2018.04.014. — MathSciNet: MR3797666. , .
- New approximate method for solving the Stokes problem in a domain with corner singularity // Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. — 2018. — V. 11, no. 1. — P. 95–108. — MathSciNet: MR3797666. , .
- Hierarchal Vector Basis Functions of Arbitrary Order for Triangular and Tetrahedral Finite Elements // IEEE Trans. on Antennas and Propagation. — 1999. — V. 47. — P. 1244–1253. — DOI: 10.1109/8.791939. — MathSciNet: MR1711458. — ads: 1999ITAP...47.1244W. .
- Edge elements and what they can do for you // IEEE Transaction on magnetics. — 1993. — V. 29, no. 2. — P. 1460–1465. .
Indexed in Scopus
Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU
The journal is included in the Russian Science Citation Index
The journal is included in the RSCI
International Interdisciplinary Conference "Mathematics. Computing. Education"
Copyright © 2009–2024 Institute of Computer Science