메뉴 건너뛰기




Volumn 15, Issue 4, 2009, Pages 1144-1155

The ultra weak variational formulation applied to radiation problems with macroscopic sources in inhomogeneous domains

Author keywords

LED; Modeling; Multidimensional

Indexed keywords

FREQUENCY DOMAINS; INFORMATION REDUCTION; LAYERED MEDIUM; LED; MODELING; MULTIDIMENSIONAL; PARALLELIZATIONS; POINT SOURCES; RADIATION PROBLEMS; REFERENCE SOLUTION; SIMULATION DOMAIN; VARIATIONAL FORMULATION; VARYING REFRACTIVE INDEX;

EID: 70349306749     PISSN: 1077260X     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTQE.2009.2015153     Document Type: Article
Times cited : (5)

References (19)
  • 1
    • 0001201384 scopus 로고
    • Finite element solution of the Helmholtz equation with high wave number part i: The h-version of the fem
    • F. Ihlenburg and I. M. Babuska, "Finite element solution of the Helmholtz equation with high wave number part i: The h-version of the fem," Com-put. Math. Appl., vol.30, pp. 9-37, 1995.
    • (1995) Com-put. Math. Appl. , vol.30 , pp. 9-37
    • Ihlenburg, F.1    Babuska, I.M.2
  • 2
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Basic theory and applications
    • J. M. Melenk and I. Babuska, "The partition of unity finite element method: Basic theory and applications," Comput. Methods Appl. Mech. Eng., vol.139, pp. 289-314, 1996.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 3
    • 0141445578 scopus 로고    scopus 로고
    • Application of an ultra-weak formulation of elliptic pdes to the two-dimensional Helmholtz problem
    • O. Cessenat and B. Despres, "Application of an ultra-weak formulation of elliptic pdes to the two-dimensional Helmholtz problem," SIAM J. Numer. Anal., vol.35, pp. 255-299, 1998.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 255-299
    • Cessenat, O.1    Despres, B.2
  • 4
    • 33744938206 scopus 로고    scopus 로고
    • The generalized finite-element method for the Helmholtz equation: Theory, computation, and open problems
    • T. Strouboulis, I. Babuska, and R. Hidajat, "The generalized finite-element method for the Helmholtz equation: Theory, computation, and open problems," Comput. Methods Appl. Mech. Eng., vol.195, pp. 4711-4731, 2006.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 4711-4731
    • Strouboulis, T.1    Babuska, I.2    Hidajat, R.3
  • 5
    • 30644469853 scopus 로고    scopus 로고
    • The partition of unity finite element method for short wave acoustic propagation on non-uniform potential flows
    • P. Gamallo and R. J. Astley, "The partition of unity finite element method for short wave acoustic propagation on non-uniform potential flows," Int. J. Numer. Methods Eng., vol.65, pp. 425-444, 2006.
    • (2006) Int. J. Numer. Methods Eng. , vol.65 , pp. 425-444
    • Gamallo, P.1    Astley, R.J.2
  • 7
    • 33947105064 scopus 로고    scopus 로고
    • Solving Maxwell's equations using the ultra-weak variational formulation
    • T. Huttunen, M. Malinen, and P. Monk, "Solving Maxwell's equations using the ultra-weak variational formulation," J. Comput. Phys., vol.223, pp. 731-758, 2007.
    • (2007) J. Comput. Phys. , vol.223 , pp. 731-758
    • Huttunen, T.1    Malinen, M.2    Monk, P.3
  • 8
    • 34547106039 scopus 로고    scopus 로고
    • A comparison of two Trefftz-type methods: The ultraweak variational formulation and the least squares method, for solving shortwave 2-D Helmholtz problems
    • P. Gamallo and R. J. Astley, "A comparison of two Trefftz-type methods: The ultraweak variational formulation and the least squares method, for solving shortwave 2-D Helmholtz problems," Int. J. Numer. Methods Eng., vol.71, pp. 406-432, 2007.
    • (2007) Int. J. Numer. Methods Eng. , vol.71 , pp. 406-432
    • Gamallo, P.1    Astley, R.J.2
  • 9
    • 0037058051 scopus 로고    scopus 로고
    • Computational aspects of the ultra-weak variational formulation
    • T. Huttunen, P. Monk, and J. P. Kaipio, "Computational aspects of the ultra-weak variational formulation," J. Comput. Phys., vol.182, pp. 27-46, 2002.
    • (2002) J. Comput. Phys. , vol.182 , pp. 27-46
    • Huttunen, T.1    Monk, P.2    Kaipio, J.P.3
  • 10
    • 33646203437 scopus 로고    scopus 로고
    • Plane wave decomposition in the unit disc: Convergence estimates and computational aspects
    • E. Perrey-Debin, "Plane wave decomposition in the unit disc: Convergence estimates and computational aspects," J. Comput. Appl. Math., vol.193, pp. 140-156, 2006.
    • (2006) J. Comput. Appl. Math. , vol.193 , pp. 140-156
    • Perrey-Debin, E.1
  • 13
    • 0002515487 scopus 로고    scopus 로고
    • Efficient management of parallelism in object oriented numerical software libraries
    • E. Arge, A. M. Bru-aset, and H. P. Langtangen, Eds. Cambridge, MA: Birkhauser
    • S. Balay, W. D. Gropp, L. C. McInnes, and B. F. Smith, "Efficient management of parallelism in object oriented numerical software libraries," in Modern Software Tools in Scientific Computing, E. Arge, A. M. Bru-aset, and H. P. Langtangen, Eds. Cambridge, MA: Birkhauser, 1997, pp. 163-202.
    • (1997) Modern Software Tools in Scientific Computing , pp. 163-202
    • Balay, S.1    Gropp, W.D.2    McInnes, L.C.3    Smith, B.F.4
  • 14
    • 34249329931 scopus 로고    scopus 로고
    • Optimization of light-diffracting photonic-crystals for high extraction efficiency leds
    • Jun.
    • A. David, H. Benisty, and C. Weisbuch, "Optimization of light-diffracting photonic-crystals for high extraction efficiency leds," IEEE J. Display Technol., vol.3, no.2, pp. 133-148, Jun. 2007.
    • (2007) IEEE J. Display Technol. , vol.3 , Issue.2 , pp. 133-148
    • David, A.1    Benisty, H.2    Weisbuch, C.3
  • 15
    • 45149131389 scopus 로고    scopus 로고
    • Analysis of the emission characteristics of photonic crystal leds
    • C. Wiesmann, K. Bergenek, N. Linder, and U. Schwarz, "Analysis of the emission characteristics of photonic crystal leds," Proc. SPIE, vol.6989, pp. 69890-L-69890L-9, 2008.
    • (2008) Proc. SPIE , vol.6989
    • Wiesmann, C.1    Bergenek, K.2    Linder, N.3    Schwarz, U.4
  • 16
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • D. Arnold, F. Brezzi, B. Cockburn, and D. Marini, "Unified analysis of discontinuous Galerkin methods for elliptic problems," SIAM J. Numer. Anal., vol.39, pp. 1749-1779, 2002.
    • (2002) SIAM J. Numer. Anal. , vol.39 , pp. 1749-1779
    • Arnold, D.1    Brezzi, F.2    Cockburn, B.3    Marini, D.4
  • 17
    • 70349341686 scopus 로고    scopus 로고
    • Plane wave discontinuous Galerkin methods
    • R. Hiptmair and I. Perugia, "Plane wave discontinuous Galerkin methods," in Proc. HOP Workshop, 2007, pp. 1-28.
    • (2007) Proc. HOP Workshop , pp. 1-28
    • Hiptmair, R.1    Perugia, I.2
  • 18
    • 0000802762 scopus 로고
    • An Elliptic Collocation-finite Element Method with Interior Penalties
    • M. F. Wheeler, "An elliptic collocation-finite element method with interior penalties," SIAM J. Numer. Anal., vol.15, pp. 152-161, 1978.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 152-161
    • Wheeler, M.F.1
  • 19
    • 0001163226 scopus 로고
    • An interior penalty finite element method with discontinuous elements
    • D. N. Arnold, "An interior penalty finite element method with discontinuous elements," SIAM J. Numer. Anal., vol.19, pp. 742-760, 1982.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 742-760
    • Arnold, D.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.