메뉴 건너뛰기




Volumn 65, Issue 8, 2006, Pages 1269-1309

A goal-oriented hp-adaptive finite element method with electromagnetic applications. Part I: Electrostatics

Author keywords

Computational electromagnetics; Conductive media equation; Exponential convergence; Goal oriented adaptivity; Hp finite elements; Trough casing resistivity tools

Indexed keywords

ADAPTIVE ALGORITHMS; BOREHOLES; BOUNDARY CONDITIONS; COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; ELECTROMAGNETIC LOGGING; ELECTROSTATICS; MATHEMATICAL MODELS; MAXWELL EQUATIONS;

EID: 32444441833     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1488     Document Type: Article
Times cited : (49)

References (20)
  • 2
    • 32444449597 scopus 로고    scopus 로고
    • Fully automatic hp-adaptivity in three dimensions
    • Technical Report 04-22. ICES Report
    • Rachowica W, Pardo D, Demkowicz L. Fully automatic hp-adaptivity in three dimensions. Technical Report 04-22, ICES Report, 2004.
    • (2004)
    • Rachowica, W.1    Pardo, D.2    Demkowicz, L.3
  • 3
    • 32444436747 scopus 로고    scopus 로고
    • Integration of hp-adaptivity with a two grid solver: Applications to electromagnetics
    • Ph.D. Thesis, The University of Texas at Austin, April
    • Pardo D. Integration of hp-adaptivity with a two grid solver: applications to electromagnetics. Ph.D. Thesis, The University of Texas at Austin, April 2004.
    • (2004)
    • Pardo, D.1
  • 4
    • 0034817636 scopus 로고    scopus 로고
    • Goal-oriented error estimation adaptive for the finite element method
    • Oden JT, Prudhomme S. Goal-oriented error estimation adaptive for the finite element method. Computers and Mathematics with Applications 2001; 41(5-6):735-756
    • (2001) Computers and Mathematics With Applications , vol.41 , Issue.5-6 , pp. 735-756
    • Oden, J.T.1    Prudhomme, S.2
  • 5
    • 0032669875 scopus 로고    scopus 로고
    • On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
    • Prudhomme S, Oden JT. On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors. Computer Methods in Applied Mechanics and Engineering 1999; 176(1-4):313-331.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.176 , Issue.1-4 , pp. 313-331
    • Prudhomme, S.1    Oden, J.T.2
  • 6
    • 0000616562 scopus 로고
    • Weighted a posteriori error control in FE methods
    • ENUMATH 97. Heidelberg, Germany, 28 September-3 October, 1997 (including a Selection of Papers from the First Conference (ENUMATH 95), Paris, France, Bock, Hans Georg et al. (eds). World Scientific: Singapore, September
    • Becker R, Rannacher R. Weighted a posteriori error control in FE methods. In ENUMATH 97. Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications, Heidelberg, Germany, 28 September-3 October, 1997 (including a Selection of Papers from the First Conference (ENUMATH 95), Paris, France, Bock, Hans Georg et al. (eds). World Scientific: Singapore, September 1995; 621-637).
    • (1995) Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications , pp. 621-637
    • Becker, R.1    Rannacher, R.2
  • 7
    • 0038264423 scopus 로고    scopus 로고
    • Duality-based adaptivity in the hp-tinite element method
    • Heuveline V, Rannacher R. Duality-based adaptivity in the hp-tinite element method. Journal of Numerical Mathematics 2003; 11(2):95-113.
    • (2003) Journal of Numerical Mathematics , vol.11 , Issue.2 , pp. 95-113
    • Heuveline, V.1    Rannacher, R.2
  • 8
    • 0032496557 scopus 로고    scopus 로고
    • A hierarchical duality approach to bounds for the outputs of partial differential equations
    • Paraschivoiu M, Patera AT. A hierarchical duality approach to bounds for the outputs of partial differential equations. Computer Methods in Applied Mechanics and Engineering 1998; 158(3-4):389-407.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.158 , Issue.3-4 , pp. 389-407
    • Paraschivoiu, M.1    Patera, A.T.2
  • 9
    • 0032022409 scopus 로고    scopus 로고
    • A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity
    • Rannacher R, Suttmeier FT. A posteriori error control in finite element methods via duality techniques: application to perfect plasticity. Computational Mechanics 1998; 21(2):123-133.
    • (1998) Computational Mechanics , vol.21 , Issue.2 , pp. 123-133
    • Rannacher, R.1    Suttmeier, F.T.2
  • 11
    • 0025206285 scopus 로고
    • The electrical field in a borehole with casing
    • Kaufman AA. The electrical field in a borehole with casing. Geophysics 1990; 55(1):29-38.
    • (1990) Geophysics , vol.55 , Issue.1 , pp. 29-38
    • Kaufman, A.A.1
  • 12
    • 0028668293 scopus 로고
    • Electrical resistivity measurement through metal casing
    • Schenkel CJ, Morrison HF. Electrical resistivity measurement through metal casing. Geophysics 1994; 59(7):1072-1082.
    • (1994) Geophysics , vol.59 , Issue.7 , pp. 1072-1082
    • Schenkel, C.J.1    Morrison, H.F.2
  • 13
    • 10444251828 scopus 로고    scopus 로고
    • 1, H(curl), and H(div) conforming projection-based interpolation in three dimensions: Quasi optimal p-interpolation estimates
    • 1, H(curl), and H(div) conforming projection-based interpolation in three dimensions: quasi optimal p-interpolation estimates. Computer Methods in Applied Mechanics and Engineering 2005; 194:267-296.
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , pp. 267-296
    • Demkowicz, L.1    Buffa, A.2
  • 14
    • 0000195048 scopus 로고
    • The finite element method with singular data
    • Scott R. The finite element method with singular data. Numerische Mathematik 1973; 21:317-327.
    • (1973) Numerische Mathematik , vol.21 , pp. 317-327
    • Scott, R.1
  • 16
    • 0030286184 scopus 로고    scopus 로고
    • Solution of 3D-Laplace and Helmholtz equations in exterior domains using hp-infinite elements
    • Gerdes K, Demkowicz L. Solution of 3D-Laplace and Helmholtz equations in exterior domains using hp-infinite elements. Computer Methods in Applied Mechanics and Engineering 1996; 137(3-4):239-273.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.137 , Issue.3-4 , pp. 239-273
    • Gerdes, K.1    Demkowicz, L.2
  • 17
    • 0022786406 scopus 로고
    • A portable package for Bessel functions of a complex argument and nonnegative order
    • Amos DE. A portable package for Bessel functions of a complex argument and nonnegative order. ACM Transactions on Mathematical Software 1986; 12:265-273.
    • (1986) ACM Transactions on Mathematical Software , vol.12 , pp. 265-273
    • Amos, D.E.1
  • 18
    • 0021441740 scopus 로고
    • The post-processing approach in the finite element method
    • I. Calculation of displacements, stresses and other higher derivatives of the displacements
    • Babuska I, Miller A. The post-processing approach in the finite element method. I. Calculation of displacements, stresses and other higher derivatives of the displacements. International Journal for Numerical Methods in Engineering 1984; 20:1085-1109.
    • (1984) International Journal for Numerical Methods in Engineering , vol.20 , pp. 1085-1109
    • Babuska, I.1    Miller, A.2
  • 19
    • 0021440959 scopus 로고
    • The post-processing approach in the finite element method
    • II. The calculation of stress intensity factors
    • Babuska I, Miller A. The post-processing approach in the finite element method. II. The calculation of stress intensity factors. International Journal for Numerical Methods in Engineering 1984; 20:1111-1129.
    • (1984) International Journal for Numerical Methods in Engineering , vol.20 , pp. 1111-1129
    • Babuska, I.1    Miller, A.2
  • 20
    • 32444434440 scopus 로고    scopus 로고
    • 1 surfaces with biquartic patches and other techniques
    • Technical Report 03-51. ICES Report
    • 1 surfaces with biquartic patches and other techniques. Technical Report 03-51, ICES Report, 2003.
    • (2003)
    • Xue, D.1    Demkowicz, L.2    Rachowicz, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.