메뉴 건너뛰기




Volumn 37, Issue 5, 2003, Pages 807-831

Singularities of eddy current problems

Author keywords

Corner singularity; Eddy current problem; Edge singularity

Indexed keywords


EID: 0344585488     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2003056     Document Type: Article
Times cited : (54)

References (30)
  • 1
    • 0031121768 scopus 로고    scopus 로고
    • A domain decomposition approach for heterogeneous time-harmonic Maxwell equations
    • A. Alonso and A. Valli, A domain decomposition approach for heterogeneous time-harmonic Maxwell equations. Comput. Methods Appl. Mech. Engrg 143 (1997) 97-112.
    • (1997) Comput. Methods Appl. Mech. Engrg , vol.143 , pp. 97-112
    • Alonso, A.1    Valli, A.2
  • 3
    • 0033645567 scopus 로고    scopus 로고
    • A justification of eddy currents model for the Maxwell equations
    • H. Ammari, A. Buffa and J.-C. Nédélec, A justification of eddy currents model for the Maxwell equations. SIAM J. Appl. Math. 60 (2000) 1805-1823.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1805-1823
    • Ammari, H.1    Buffa, A.2    Nédélec, J.-C.3
  • 6
    • 0034421041 scopus 로고    scopus 로고
    • Residual based a posteriori error estimators for eddy current computation
    • R. Beck, R. Hiptmair, R.H.W. Hoppe and B. Wohlmuth, Residual based a posteriori error estimators for eddy current computation. ESAIM: M2AN 34 (2000) 159-182.
    • (2000) ESAIM: M2AN , vol.34 , pp. 159-182
    • Beck, R.1    Hiptmair, R.2    Hoppe, R.H.W.3    Wohlmuth, B.4
  • 7
    • 0001878229 scopus 로고
    • 2-theory of the Maxwell operator in arbitrary domains
    • 2-theory of the Maxwell operator in arbitrary domains. Russian Math. Surveys 42 (1987) 75-96.
    • (1987) Russian Math. Surveys , vol.42 , pp. 75-96
    • Birman, M.1    Solomyak, M.2
  • 8
    • 0000999737 scopus 로고
    • On the main singularities of the electric component of the electro-magnetic field in regions with screens
    • M. Birman and M. Solomyak, On the main singularities of the electric component of the electro-magnetic field in regions with screens. St. Petersburg. Math. J. 5 (1993) 125-139.
    • (1993) St. Petersburg. Math. J. , vol.5 , pp. 125-139
    • Birman, M.1    Solomyak, M.2
  • 9
    • 0011982241 scopus 로고    scopus 로고
    • A singular field method for the solution of Maxwell's equations in polyhedral domains
    • A.-S. Bonnet-Ben Dhia, C. Hazard and S. Lohrengel, A singular field method for the solution of Maxwell's equations in polyhedral domains. SIAM J. Appl. Math. 59 (1999) 2028-2044.
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 2028-2044
    • Bonnet-Ben Dhia, A.-S.1    Hazard, C.2    Lohrengel, S.3
  • 10
    • 0022080469 scopus 로고
    • Two dual formulations of the 3D eddy-current problem
    • A. Bossavit, Two dual formulations of the 3D eddy-current problem. COMPEL 4 (1985) 103-116.
    • (1985) COMPEL , vol.4 , pp. 103-116
    • Bossavit, A.1
  • 14
    • 0038582201 scopus 로고
    • Stable asymptotics for elliptic systems on plane domains with corners
    • M. Costabel and M. Dauge, Stable asymptotics for elliptic systems on plane domains with corners. Comm. Partial Differential Equations 9 & 10 (1994) 1677-1726.
    • (1994) Comm. Partial Differential Equations , vol.9-10 , pp. 1677-1726
    • Costabel, M.1    Dauge, M.2
  • 15
    • 0034382191 scopus 로고    scopus 로고
    • Singularities of Maxwell's equations on polyhedral domains
    • M. Costabel and M. Dauge, Singularities of Maxwell's equations on polyhedral domains. Arch. Rational Mech. Anal. 151 (2000) 221-276.
    • (2000) Arch. Rational Mech. Anal. , vol.151 , pp. 221-276
    • Costabel, M.1    Dauge, M.2
  • 16
    • 0036912227 scopus 로고    scopus 로고
    • Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of nodal finite elements
    • M. Costabel and M. Dauge, Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of nodal finite elements. Numer. Math. 93 (2002) 239-277.
    • (2002) Numer. Math. , vol.93 , pp. 239-277
    • Costabel, M.1    Dauge, M.2
  • 17
    • 0033414918 scopus 로고    scopus 로고
    • Singularities of Maxwell interface problems
    • M. Costabel, M. Dauge and S. Nicaise, Singularities of Maxwell interface problems. ESAIM: M2AN 33 (1999) 627-649.
    • (1999) ESAIM: M2AN , vol.33 , pp. 627-649
    • Costabel, M.1    Dauge, M.2    Nicaise, S.3
  • 21
  • 22
    • 0036556543 scopus 로고    scopus 로고
    • Symmetric coupling for eddy currents problems
    • R. Hiptmair, Symmetric coupling for eddy currents problems. SIAM J. Numer. Anal. 40 (2002) 41-65.
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 41-65
    • Hiptmair, R.1
  • 23
    • 0000309125 scopus 로고
    • Boundary-value problems for elliptic equations in domains with conical or angular points
    • V.A. Kondrat'ev, Boundary-value problems for elliptic equations in domains with conical or angular points. Trans. Moscow Math. Soc. 16 (1967) 227-313.
    • (1967) Trans. Moscow Math. Soc. , vol.16 , pp. 227-313
    • Kondrat'Ev, V.A.1
  • 25
    • 0037430417 scopus 로고    scopus 로고
    • Minimal regularity of the solutions of some transmission problems
    • D. Mercier, Minimal regularity of the solutions of some transmission problems. Math. Methods Appl. Sci. 26 (2003) 321-348.
    • (2003) Math. Methods Appl. Sci. , vol.26 , pp. 321-348
    • Mercier, D.1
  • 28
    • 0346251772 scopus 로고    scopus 로고
    • Transmission problems for the Laplace and elasticity operators: Regularity and boundary integral formulation
    • S. Nicaise and A.-M. Sändig, Transmission problems for the Laplace and elasticity operators: Regularity and boundary integral formulation. Math. Methods Appl. Sci. 9 (1999) 855-898.
    • (1999) Math. Methods Appl. Sci. , vol.9 , pp. 855-898
    • Nicaise, S.1    Sändig, A.-M.2
  • 29
    • 0035382418 scopus 로고    scopus 로고
    • Edge elements on anisotropic meshes and approximation of the Maxwell equations
    • S. Nicaise, Edge elements on anisotropic meshes and approximation of the Maxwell equations. SIAM J. Numer. Anal. 39 (2001) 784-816.
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 784-816
    • Nicaise, S.1
  • 30
    • 84974265418 scopus 로고
    • On the boundary value problems of electro- and magnetostatics
    • R. Picard, On the boundary value problems of electro- and magnetostatics. Proc. Roy. Soc. Edinburgh Sect. A 92 (1982) 165-174.
    • (1982) Proc. Roy. Soc. Edinburgh Sect. A , vol.92 , pp. 165-174
    • Picard, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.