Geodesic
Mathematical modeling of the high-frequency electromagnetic field in waveguiding structures
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 4, pp. 102-118

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In solving the 3D electromagnetic problems with the help of the vector finite element method the important issue is how to construct appropriate basis functions. A special basis is used for numerical simulation of the 3D electromagnetic field which enforce tangential continuity of the electric ${\vec{\mathbf{E}}}$ between adjacent elements. Normal component is allowed to be discontinuous. The analysis of different sets of higher order basis functions is presented in the current paper.
Keywords: tetrahedral finite element, vector basis functions, interpolation basis, hierarchical basis, edge-function, face-function, volume function. 
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     author = {E. I. Mikhailova and E. P. Shurina},
     title = {Mathematical modeling of the high-frequency electromagnetic field in waveguiding structures},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {102--118},
     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_4_a8/}
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E. I. Mikhailova; E. P. Shurina. Mathematical modeling of the high-frequency electromagnetic field in waveguiding structures. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 4, pp. 102-118. http://geodesic.mathdoc.fr/item/VNGU_2013_13_4_a8/