ࡱ> Root EntryRoot Entryp_@@FileHeaderFDocInfo8nBodyTextpQ@pQ@ HwpSummaryInformation.1PrvImagePrvTextSection0J  !"#$%&'()*+,-./02345679:;<=>?@ABCDEGHIKLMNOPQRSTUVWXYZ[\]^_`abcd FEM-BEM coupling for electro-magnetic problems in R^3 Ernst P. Stephan Institute of Applied Mathematics, Hannover University, Germany Abstract: Electro-magnetic interface problems in 3D (eddy current, time harmonic scattering) are considered in a variational form where the exterior problem is substituted by boundary integral equations on the surface of the scatterer. This coupled formulation is discretized with finite elements (Nedelec edge elements) in the scatterer and with boundary elements (Raviart-Thomas elements) on its surface. Standard Galerkin and mixed formulations are discussed together with a posteriori error estimates and adaptive refinement algorithms. Both h- and p- versions are analyzed, where in the first case higher accuracy is achieved by reducing the mesh size h, and in the second case by enlarging the polynomial degree p. Numerical experiments support our theoretical results. GIF89atɻxxxkkk]]]PPPCCC555((( d`LH00`Hذ̘`H0|pdXL@`0H `H0`dHL`H0xp`XH@0d LȰ``HH00dLؘȀ`H0xp`XH@d0L `H0d`LH`H0|pdXL@0`$H`dHL00`HذȘdL0xp`XH@0` HdH0ȳ``HHdL0xp`XH@`0H Ը̰ĠऀؘpȈXxHp@h@d8`8X0xT0pH dxddxd`d`p`|``x`p``x`!,t H*\ȰÇ#JHŋ3jȱǏ CIɓ(S\ɲ˗0cʜI͛8sɳϟ@  gQH!-tҦGJ}:UjSXjiiխ`Ê5*ԤQR=KQLʝKnDpծSMjaxB7=lW@]cVyq`)f9 8װ/Mzfeo_n9vPܙb|/qm^MmdsEݲYس/ܼ\zmλ5'^Vɍw:Ӧ ɛ6|'~}(h& 6F(Vhfv ($h(,0(4h8<@)DiH&L6PF)TViXfeE;`a``a`0Y ht  ( 4 @L2005D 4 14| | $ 3:48:16 youngmok5, 5, 0, 2174 5@pj@@pQ@@տn\ENM`!Arq˸Ao'ekVҍ-EtW(`QX i+ QgHId᮳HPSpFN1gn1:ֆKo?]c[_r}\ͽݾwӫpͿ~"^qGjGv {`c]{H?;'s s΀ח}pPJ)ʍ(9ss ZHRA9s<!@)V+7ңf."sIy33ZL 7~2胩RJsJ)g`R[ܱ`R[ܵJ)g=;J)g};nRJ<S 6H:8 ohR@f-qjc-66I66lذpqjc>u`:^rp؄f-66-66;|{ 8QSp)ظ>C't$Kf'u`?PwŀIjCˇ'>WQIjb<=6kan-c38JLRYej`\sLeRLRY厁] s#f*wi&&ӳ]jGTҕK;NRY垁] s#f*[e-Ijb<=7kavL(]d{yzVy``\ȱu`V1ʗ/r':WTXx3`$w^ĺlz8JC=LRǾ81wL}m?2Y{2HWP Document Filem׿n{FDE`x["H쮽&RW PW[<T\p2o ey$!19{s}ۣ}mIng?rq_x&Vgi?}RѲBկ7\N7+Oo-t??뛗ؾIy8xFmvje'4gwփnקGѻ|{o=y ^zэxtE/xիFEpsss;/\\\\K;;;;[xメqɭCz"|QDQREQ6dE{{476 N|mMv[ãܨG(((>l5dIUp*عJJ/T:*V52>Ui4IZ4j$N-@􉤵Pi\(Jnc<lCa|MVe C! m:=6Q:0@QSU~%:1LdGT%S$:z[}Xdj6WZ=e$}ǥOpRl F׀+1:4_0@QngeI+EVmsNSJZTTkDJVjKܛ̴=7(IkYҪ`ZKoST;.'Ȧ`S0*\Y0@6 wVdl%K.DO-4* Q%gZ(JV[jt}]jDLuVZ*It*f3Qɲw\ 'l F׀+54{ Z'XZ97LEZ +sԈj]3L:$}#e[֨eI% I#DR2%Q2u&w\ CgdS)\`8N2,;uj(ID%˒VҊJc*zDO-4* Q2,$gL{3K N% I#ܷ -#- Φ`S0*\qxGwQ-D֩DP;Y1UiME%?{MTPZ2Zj-URUZI4ULt:T-IRWttR`S)\`8<ar|Z6UsK,iՖZ(iߑS'-TUSQer.=zJj%jd!idQeR,t}ǥIy8l F׀+540@Q;Ҙx}3IS[jtJ+*܅o$SD$$5l&NZ|ÞN$21ҪL\j}ǥg3cOMz>Bqx-?JDZL2=uSp+Z5DL-$SF<)Ҙ~GLiL,5J'%J3vq&fhqBIy8) W`8|G M_,*sTr :PUE%B:QgܹV-l&Yj%Ym2\yhq)@ k6Q5J_m:(\8)l FW?Apz