LEADER 00558oas 2200205z- 450 001 9910892822303321 005 20180327105510.0 035 $a(CKB)954928574712 035 $a(EXLCZ)99954928574712 100 $a20130526cuuuuuuuu -u- - 101 0 $aeng 200 00$aAdvances in x-ray analysis 210 $aNew York$cPlenum Press 311 $a0376-0308 606 $aEngineering$xCivil Engineering 615 4$aEngineering$xCivil Engineering 906 $aJOURNAL 912 $a9910892822303321 996 $aADVANCES in X-Ray Analysis$9125908 997 $aUNINA LEADER 02945oam 2200481I 450 001 9910151566303321 005 20240501162450.0 010 $a1-315-36571-5 010 $a1-4987-8050-4 024 7 $a10.1201/9781315365718 035 $a(CKB)3710000000941811 035 $a(MiAaPQ)EBC4745255 035 $a(OCoLC)963935185 035 $a(EXLCZ)993710000000941811 100 $a20180706h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 14$aThe finite element method for boundary value problems $emathematics and computations /$fKaran S. Surana and J.N. Reddy 205 $a1st ed. 210 1$aBoca Raton :$cCRC Press,$d[2017] 210 4$dİ2017 215 $a1 online resource (820 pages) $cillustrations 300 $aIncludes index. 311 08$a1-4987-8053-9 311 08$a1-4987-8051-2 327 $a1. Introduction -- 2. Concepts from functional analysis -- 3. Classical methods of approximation -- 4. The finite element method -- 5. Self-adjoint differential operators -- 6. Non-self-adjoint differential operators -- 7. Non-linear differential operators -- 8. Basic elements of mapping and interpolation theory -- 9. Linear elasticity using the principle of minimum total potential energy -- 10. Linear and nonlinear solid mechanics using the principle of virtual displacements -- 11. Additional topics in linear structural mechanics -- 12. Convergence, error estimation, and adaptivity. 330 $aWritten by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented studies of FEM. Mathematically rigorous, it uses examples, applications, and illustrations from various areas of engineering, applied mathematics, and the physical sciences. Readers are able to grasp the mathematical foundations of FEM, as well as its versatility; unlike many finite element texts this work is not limited to solid mechanics problems. Based around use of the finite element method for solving boundary values problems (BVPs), the text is organized around three categories of differential operators: self-adjoint, non-self adjoint, and non-linear. These operators are utilized with various methods of approximation, including the Galerkin, Petrov-Galerkin, and other methods. 606 $aBoundary value problems$xNumerical solutions 606 $aFinite element method 615 0$aBoundary value problems$xNumerical solutions. 615 0$aFinite element method. 676 $a515/.62 700 $aSurana$b Karan S.$01243959 702 $aReddy$b J. N$g(Junuthula Narasimha),$f1945- 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910151566303321 996 $aThe finite element method for boundary value problems$92885382 997 $aUNINA