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Numerical Solution of Partial Differential Equations by the Finite Element Method Claes Johnson
Publisher: Cambridge University Press

The finite element method is introduced as a generic method for the numerical solution of partial differential equations. Smit, 1978, “Numerical Solution of Partial Differential Equations by Finite Difference Methods”, 2nd ed. Finite difference operators are introduced and used to solve typical initial and boundary value problems. Claes Johnson , “Numerical Solution of Partial Differential Equations by the Finite Element Method” Dover Publications | 2009 | ISBN: 048646900X, 0521345146 | 288 pages | Djvu | 2,7 mb. It uses It should be very useful for those people playing often with PDE numerical solution. II is a C++ program library targeted at the computational solution of partial differential equations using adaptive finite elements. Numerical Solution of Partial Differential Equations by the Finite Element Method. Examples are solutions of large systems of algebraic equations, evaluation of integrals, and solution of differential equations. Liu, 2003, “Mesh free Methods: Moving Beyond Finite Element Methods”, CRC Press, USA. Our approach provides the very first rigorous full-wave solution that is applicable to both partial-differential-equation and integral-equation based numerical methods, truly from DC to any high frequency. The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. It also works for general 3-D problems involving inhomogeneous lossless/lossy dielectrics and The system matrix thus can be efficiently solved by the orthogonal finite-element reduction-recovery method.