Vector potential formulation of a quasi-static EM induction problem: existence, uniqueness and stability of the weak solution
DOI10.1007/s13137-011-0019-9zbMath1255.35006OpenAlexW2093785884MaRDI QIDQ692125
J. Velímský, Zdeněk Martinec, Ondřej Souček
Publication date: 4 December 2012
Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13137-011-0019-9
PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Electro- and magnetostatics (78A30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- The Coulomb gauged vector potential formulation for the eddy-current problem in general geometry: well-posedness and numerical approximation
- On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation
- Adjoint variable method for time‐harmonic Maxwell equations
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