Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
ATZ-Fachkongress

Chassis.tech plus 2024


4 Kongresse in einer Veranstaltung

Treffen Sie in München die Fachleute von Chassis, Lenkung, Bremsen sowie Reifen/Räder.
Erweiterte Suche
Anmelden
nach oben
Engineering with Computers
Erschienen in: Engineering with Computers 3/2021

06.01.2020 | Original Article

Data discovering of inverse Robin boundary conditions problem in arbitrary connected domain through meshless radial point Hermite interpolation

verfasst von: Youssef El Seblani, Elyas Shivanian

Erschienen in: Engineering with Computers | Ausgabe 3/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, a suitable method is presented to treat the partial derivative equations, especially the Laplace equation having the Robin boundary conditions. These equations come from classical physics, especially the branch of thermodynamics, and have an efficient role in the field of heat and temperature. Our motivation is to reset a harmonic data obtained from Robin’s conditions in the arbitrary plane domain particularly on its boundaries. The applied method is a nodal Hermite meshless collocation technique at which it is formed of radial basis functions to get out the shape functions which is the key to construct the local bases in the neighborhoods of the nodal points. Moreover, by taking into consideration the Hermite interpolation technique, we can impose the boundary conditions directly, the named technique is called “MRPHI,” meshless radial point Hermite interpolation, and it is done on some examples so that trustworthy results are obtained.
Vorheriger Artikel Boundary-layer flow of the power-law fluid over a moving wedge: a linear stability analysis
Nächster Artikel Effect of residual surface stress on parametrically excited nonlinear dynamics and instability of viscoelastic piezoelectric nanoelectromechanical resonators

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
1.
Mastascusa EJ (1988) Computer-assisted network and system analysis. Wiley, New York
2.
Cucinotta A, Selleri S, Vincetti L, Zoboli M (2002) Holey fiber analysis through the finite-element method. IEEE Photonics Technol Lett 14(11):1530–1532CrossRef
3.
Hayashi M, Jin M, Thipprakmas S, Murakawa M, Hung J-C, Tsai Y-C, Hung C-H (2003) Simulation of ultrasonic-vibration drawing using the finite element method (fem). J Mater Process Technol 140(1–3):30–35CrossRef
4.
Dehghan M, Abbaszadeh M (2017) A finite element method for the numerical solution of rayleigh-stokes problem for a heated generalized second grade fluid with fractional derivatives. Eng Comput 33(3):587–605CrossRef
5.
Lages EN, Paulino GH, Menezes IF, Silva RR (1999) Nonlinear finite element analysis using an object-oriented philosophy-application to beam elements and to the cosserat continuum. Eng Comput 15(1):73–89CrossRef
6.
Kazem S, Dehghan M (2019) Semi-analytical solution for time-fractional diffusion equation based on finite difference method of lines (mol). Eng Comput 35(1):229–241CrossRef
7.
Li P-W, Fan C-M (2017) Generalized finite difference method for two-dimensional shallow water equations. Eng Anal Bound Elem 80:58–71MathSciNetCrossRef
8.
Parand K, Abbasbandy S, Kazem S, Rezaei A (2011) An improved numerical method for a class of astrophysics problems based on radial basis functions. Phys Scr 83(1):015011CrossRef
9.
Kansa EJ, Aldredge RC, Ling L (2009) Numerical simulation of two-dimensional combustion using mesh-free methods. Eng Anal Bound Elem 33(7):940–950MathSciNetCrossRef
10.
Abbasbandy S, Ghehsareh HR, Alhuthali MS, Alsulami HH (2014) Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-d diffusion model. Eng Anal Bound Elem 39:121–128MathSciNetCrossRef
11.
Abbasbandy S, Sladek V, Shirzadi A, Sladek J (2011) Numerical simulations for coupled pair of diffusion equations by mlpg method. CMES: Comput Model Eng Sci 71(1):15–38MathSciNetMATH
12.
Mohammadi V, Mirzaei D, Dehghan M (2019) Numerical simulation and error estimation of the time-dependent allen-cahn equation on surfaces with radial basis functions. J Sci Comput 79(1):493–516MathSciNetCrossRef
13.
Hosseini VR, Shivanian E, Chen W (2016) Local radial point interpolation (mlrpi) method for solving time fractional diffusion-wave equation with damping. J Comput Phys 312:307–332MathSciNetCrossRef
14.
Hosseini VR, Shivanian E, Chen W (2015) Local integration of 2-d fractional telegraph equation via local radial point interpolant approximation. Eur Phy J Plus 130(2):33CrossRef
15.
Shivanian E, Fatahi H (2019) Analysis of meshless local radial point interpolant on a model in population dynamics. Comput Methods Differ Equ 7(2):276–288MathSciNetMATH
16.
17.
18.
Adami S, Hu X, Adams NA (2012) A generalized wall boundary condition for smoothed particle hydrodynamics. J Comput Phys 231(21):7057–7075MathSciNetCrossRef
19.
Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. Int J Numer Meth Fluids 20(8–9):1081–1106MathSciNetCrossRef
20.
Nayroles B, Touzot G, Villon P (1992) Generalizing the finite element method: diffuse approximation and diffuse elements. Comput Mech 10(5):307–318MathSciNetCrossRef
21.
22.
Fasino D, Inglese G (1999) An inverse robin problem for laplace’s equation: theoretical results and numerical methods. Inverse Prob 15(1):41MathSciNetCrossRef
23.
24.
Shivanian E, Jafarabadi A (2017) Inverse cauchy problem of annulus domains in the framework of spectral meshless radial point interpolation. Eng Comput 33(3):431–442CrossRef
25.
Delvare F, Cimetière A, Pons F (2002) An iterative boundary element method for cauchy inverse problems. Comput Mech 28(3–4):291–302MathSciNetCrossRef
26.
Yang JP, Guan P-C, Fan C-M (2016) Weighted reproducing kernel collocation method and error analysis for inverse cauchy problems. Int J Appl Mech 8(03):1650030CrossRef
27.
Liu C-S (2008) A modified collocation trefftz method for the inverse cauchy problem of laplace equation. Eng Anal Bound Elem 32(9):778–785CrossRef
28.
Jourhmane M, Nachaoui A (1999) An alternating method for an inverse cauchy problem. Numer Algorithms 21(1–4):247MathSciNetCrossRef
29.
Chakib A, Nachaoui A (2006) Convergence analysis for finite element approximation to an inverse cauchy problem. Inverse Prob 22(4):1191MathSciNetCrossRef
30.
Chen W, Fu Z-J (2009) Boundary particle method for inverse cauchy problems of inhomogeneous helmholtz equations. J Mar Sci Technol 17(3):157–163
31.
Bourgeois L (2005) A mixed formulation of quasi-reversibility to solve the cauchy problem for laplace’s equation. Inverse Prob 21(3):1087MathSciNetCrossRef
32.
Fasshauer GE (2007) Meshfree approximation methods with MATLAB. World Scientific Publishing, SingaporeCrossRef
33.
Mohammadzadeh R, Lakestani M, Dehghan M (2014) Collocation method for the numerical solutions of lane-emden type equations using cubic hermite spline functions. Math Methods Appl Sci 37(9):1303–1717MathSciNetCrossRef
34.
Franke C, Schaback R (1998) Solving partial differential equations by collocation using radial basis functions. Appl Math Comput 93(1):73–82MathSciNetMATH
35.
Sharan M, Kansa E, Gupta S (1997) Application of the multiquadric method for numerical solution of elliptic partial differential equations. Appl Math Comput 84(2–3):275–302MathSciNetMATH
36.
Kansa EJ (1990) Multiquadrics–a scattered data approximation scheme with applications to computational fluid-dynamics–i surface approximations and partial derivative estimates. Comput Math Appl 19(8–9):127–145MathSciNetCrossRef
37.
Wendland H (1998) Error estimates for interpolation by compactly supported radial basis functions of minimal degree. J Approx Theory 93(2):258–272MathSciNetCrossRef
38.
Powell MJ (1992) The theory of radial basis function approximation in 1990. In: Light W (ed) Advances in numerical analysis, vol I. Clarendon Press, Oxford, pp 105–210
39.
Baratchart L, Bourgeois L, Leblond J (2016) Uniqueness results for inverse robin problems with bounded coefficient. J Funct Anal 270(7):2508–2542MathSciNetCrossRef
40.
Metadaten
Titel
Data discovering of inverse Robin boundary conditions problem in arbitrary connected domain through meshless radial point Hermite interpolation
verfasst von
Youssef El Seblani
Elyas Shivanian
Publikationsdatum
06.01.2020
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 3/2021
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-019-00915-w

Weitere Artikel der Ausgabe 3/2021

Engineering with Computers 3/2021 Zur Ausgabe

Original Article

A hybrid sufficient performance measure approach to improve robustness and efficiency of reliability-based design optimization

Original Article

Numerical solution of the fractional Rayleigh–Stokes model arising in a heated generalized second-grade fluid

Original Article

Static stability analysis of agglomerated multi-scale hybrid nanocomposites via a refined theory

Original Article

Long short-term memory for predicting daily suspended sediment concentration

Original Article

Multi-kernel optimized relevance vector machine for probabilistic prediction of concrete dam displacement

Original Article

A machine learning-based model for the estimation of the temperature-dependent moduli of graphene oxide reinforced nanocomposites and its application in a thermally affected buckling analysis