메뉴 건너뛰기




Volumn 10, Issue 4, 2000, Pages 615-628

On the existence and uniqueness of solutions to Maxwell's equations in bounded domains with application to magnetotellurics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034409722     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202500000331     Document Type: Article
Times cited : (16)

References (29)
  • 1
    • 0032046977 scopus 로고    scopus 로고
    • Unique solvability for high-frequency heterogeneous time-harmonic Maxwell equations via the Fredholm alternative theory
    • A. Alonso and A. Valli, Unique solvability for high-frequency heterogeneous time-harmonic Maxwell equations via the Fredholm alternative theory, Math. Methods Appl. Sci. 21 (1998) 463-477.
    • (1998) Math. Methods Appl. Sci. , vol.21 , pp. 463-477
    • Alonso, A.1    Valli, A.2
  • 2
    • 0008200165 scopus 로고
    • Conditions aux limites absorbantes pour le système de Maxwell dans le vide en dimension 3
    • A. Bendali and L. Halpern, Conditions aux limites absorbantes pour le système de Maxwell dans le vide en dimension 3, C. R. Acad. Sci. Paris 307 (1988) 1011-1013.
    • (1988) C. R. Acad. Sci. Paris , vol.307 , pp. 1011-1013
    • Bendali, A.1    Halpern, L.2
  • 3
    • 0000277718 scopus 로고
    • Basic theory of magneto-telluric method of geophysical prospecting
    • L. Cagniard, Basic theory of magneto-telluric method of geophysical prospecting, Geophys. 18 (1953) 605-635.
    • (1953) Geophys. , vol.18 , pp. 605-635
    • Cagniard, L.1
  • 4
    • 3242864747 scopus 로고    scopus 로고
    • A decomposition of the electromagnetic field - Application to the Darwin model
    • P. Ciarlet, Jr. and E. Sonnendbrücker, A decomposition of the electromagnetic field - Application to the Darwin model, Math. Models Methods Appl. Sci. 7 (1997) 1085-1120.
    • (1997) Math. Models Methods Appl. Sci. , vol.7 , pp. 1085-1120
    • Ciarlet Jr., P.1    Sonnendbrücker, E.2
  • 5
    • 84988168833 scopus 로고
    • A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
    • M. Costabel, A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains, Math. Methods Appl. Sci. 12 (1990) 365-368.
    • (1990) Math. Methods Appl. Sci. , vol.12 , pp. 365-368
    • Costabel, M.1
  • 7
    • 0034386783 scopus 로고    scopus 로고
    • A nonconforming mixed finite element method for Maxwell's equations
    • J. Douglas, Jr., J. E. Santos and D. Sheen, A nonconforming mixed finite element method for Maxwell's equations, Math. Models Methods Appl. Sci. 10 (2000) 593-613.
    • (2000) Math. Models Methods Appl. Sci. , vol.10 , pp. 593-613
    • Douglas Jr., J.1    Santos, J.E.2    Sheen, D.3
  • 8
    • 0033483037 scopus 로고    scopus 로고
    • Absorbing boundary conditions for electromagnetic wave propagation
    • X. Feng, Absorbing boundary conditions for electromagnetic wave propagation, Math. Comp. 68 (1999) 145-168.
    • (1999) Math. Comp. , vol.68 , pp. 145-168
    • Feng, X.1
  • 9
    • 0031533599 scopus 로고    scopus 로고
    • Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions
    • P. Fernandes and G. Gilardi, Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions, Math. Models Methods Appl. Sci. 7 (1997) 957-991.
    • (1997) Math. Models Methods Appl. Sci. , vol.7 , pp. 957-991
    • Fernandes, P.1    Gilardi, G.2
  • 11
    • 0003208898 scopus 로고
    • Finite Element Methods for Navier-Stokes Equations
    • Springer-Verlag
    • V. Girault and P.-A. Raviart, Finite Element Methods for Navier-Stokes Equations, Theory and Algorithms (Springer-Verlag, 1986).
    • (1986) Theory and Algorithms
    • Girault, V.1    Raviart, P.-A.2
  • 12
    • 0039269283 scopus 로고
    • Influence des termes de courbure dans les conditions aux limites artificielles pour les équations de Maxwell
    • B. Hanouzet and M. Sesquès, Influence des termes de courbure dans les conditions aux limites artificielles pour les équations de Maxwell, C. R. Acad. Sci. Paris 311 (1990) 561-564.
    • (1990) C. R. Acad. Sci. Paris , vol.311 , pp. 561-564
    • Hanouzet, B.1    Sesquès, M.2
  • 13
    • 0030515839 scopus 로고    scopus 로고
    • On the solution of time-harmonic scattering problems for Maxwell's equations
    • C. Hazard and M. Lenoir, On the solution of time-harmonic scattering problems for Maxwell's equations, SIAM J. Math. Anal. 27 (1996) 1597-1630.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1597-1630
    • Hazard, C.1    Lenoir, M.2
  • 16
    • 0007369438 scopus 로고
    • Exterior boundary-value problems in mathematical physics
    • ed. H. Zorski Pitman
    • R. Leis, Exterior boundary-value problems in mathematical physics, in Trends in Applications of Pure Mathematics to Mechanics, ed. H. Zorski (Pitman, 1979), Vol. 11, pp. 187-203.
    • (1979) Trends in Applications of Pure Mathematics to Mechanics , vol.11 , pp. 187-203
    • Leis, R.1
  • 18
    • 0027333762 scopus 로고
    • Three-dimensional magnetotelluric modeling using difference equations - Theory and comparisons to integral equation solutions
    • R. L. Mackie, T. R. Madden and P. E. Wannamaker, Three-dimensional magnetotelluric modeling using difference equations - Theory and comparisons to integral equation solutions, Geophys. 58 (1993) 215-226.
    • (1993) Geophys. , vol.58 , pp. 215-226
    • Mackie, R.L.1    Madden, T.R.2    Wannamaker, P.E.3
  • 19
    • 0009090777 scopus 로고
    • Decomposition theorems and their application to nonlinear electro- And magneto-static boundary value problems
    • Partial Differential Equations and Calculus of Variations, eds. S. Hildebrandt and R. Leis Springer-Verlag
    • A. Milani and R. Picard, Decomposition theorems and their application to nonlinear electro-and magneto-static boundary value problems, in Partial Differential Equations and Calculus of Variations, Lecture Notes in Mathematics, Vol. 1357, eds. S. Hildebrandt and R. Leis (Springer-Verlag, 1988), pp. 317-340.
    • (1988) Lecture Notes in Mathematics , vol.1357 , pp. 317-340
    • Milani, A.1    Picard, R.2
  • 20
    • 84980079179 scopus 로고
    • Another approach to elliptic boundary value problems
    • J. Peetre, Another approach to elliptic boundary value problems, Comm. Pure Appl. Math. XIV (1961) 711-731.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 711-731
    • Peetre, J.1
  • 21
    • 0007452648 scopus 로고    scopus 로고
    • Global and domain-decomposed mixed methods for the solution of Maxwell's equation with application to magnetotellurics
    • J. E. Santos, Global and domain-decomposed mixed methods for the solution of Maxwell's equation with application to magnetotellurics, Numer. Methods Partial Differential Equations 14 (1998) 263-280.
    • (1998) Numer. Methods Partial Differential Equations , vol.14 , pp. 263-280
    • Santos, J.E.1
  • 22
    • 0038777060 scopus 로고    scopus 로고
    • Global and parallelizable domain-decomposed mixed finite element methods for three-dimensional electromagnetic modelling
    • J. E. Santos and D. Sheen, Global and parallelizable domain-decomposed mixed finite element methods for three-dimensional electromagnetic modelling, Comput. Appl. Math. 17 (1998) 265-282.
    • (1998) Comput. Appl. Math. , vol.17 , pp. 265-282
    • Santos, J.E.1    Sheen, D.2
  • 24
    • 0002591291 scopus 로고
    • A generalized Green's theorem
    • D. Sheen, A generalized Green's theorem, Appl. Math. Lett. 5 (1992) 95-98.
    • (1992) Appl. Math. Lett. , vol.5 , pp. 95-98
    • Sheen, D.1
  • 25
    • 0031339689 scopus 로고    scopus 로고
    • Approximation of electromagnetic fields: Part I. Continuous problems
    • D. Sheen, Approximation of electromagnetic fields: Part I. Continuous problems, SIAM J. Appl. Math. 57 (1997) 1716-1736.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1716-1736
    • Sheen, D.1
  • 26
    • 0000195746 scopus 로고
    • Le problème de Dirichlet pour les équations elliptiques du second ordre á coefficients discontinues
    • G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre á coefficients discontinues, Ann. Inst. Fourier (Grenoble) 15 (1965) 189-258.
    • (1965) Ann. Inst. Fourier (Grenoble) , vol.15 , pp. 189-258
    • Stampacchia, G.1
  • 28
    • 84979103896 scopus 로고
    • A local compactness theorem for Maxwell's equations
    • C. A. Weber, A local compactness theorem for Maxwell's equations, Math. Methods Appl. Sci. 2 (1980) 12-25.
    • (1980) Math. Methods Appl. Sci. , vol.2 , pp. 12-25
    • Weber, C.A.1
  • 29
    • 84988163617 scopus 로고
    • A remark on a compactness result in electromagnetic theory
    • K. J. Witsch, A remark on a compactness result in electromagnetic theory, Math. Methods Appl. Sci. 16 (1993) 123-129.
    • (1993) Math. Methods Appl. Sci. , vol.16 , pp. 123-129
    • Witsch, K.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.