Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

eindige elementen --- elektrische machines --- #KVIV:BB --- 51-74 --- Mathematics--?-74 --- Electrical engineering --- Finite element method. --- Mathematics. --- 51-74 Mathematics--?-74 --- Finite element method --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Engineering mathematics --- Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

517.9 --- Continuum mechanics --- Finite element method --- fem --- sterkteleer --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- finite element method --- computer-aided engineering --- CAE (computer aided engineering) --- weerstand (fysica) --- 517.96 --- Finite differences. Functional and integral equations --- Numerical Mathematics --- Numerical Mathematics. --- 517.96 Finite differences. Functional and integral equations --- Structural analysis (Engineering) --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- bouw --- Materials sciences --- fysica --- eindige elementen --- Continuum mechanics. --- Finite element method. --- Structural analysis (Engineering). --- Basic Sciences. Mathematics --- Éléments finis, Méthode des --- Analyse numérique. --- Numerical analysis. --- Analyse numérique --- Éléments finis, Méthode des. --- Milieu continu

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book develops the basic mathematical theory of the finite element  method, the most widely used technique for engineering design and analysis.

The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara'e-Friedrichs inequalities for piecewise W1\_p functions. New exercises have also been added throughout.

The initial chapter provides an introducton to the entire subject, developed in the one-dimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to:

 - multigrid methods and domain decomposition methods

 - mixed methods with applications to elasticity and fluid mechanics

 - iterated penalty and augmented Lagrangian methods

 - variational "crimes" including nonconforming and isoparametric  methods, numerical integration and interior penalty methods

 - error estimates in the maximum norm with applications to nonlinear problems

 - error estimators, adaptive meshes and convergence analysis of an adaptive algorithm

- Banach-space operator-interpolation techniques

The book has proved useful to mathematicians as well as engineers and  physical scientists. It can be used for a course that provides an  introduction to basic functional analysis, approximation theory and  numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency.


Numerical solutions of differential equations --- Functional analysis --- finite element method --- computer-aided engineering --- CAE (computer aided engineering) --- Boundary conditions (Differential equations) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Boundary value problems --- Finite element method --- 519.6 --- 681.3 *G18 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Numerical solutions --- Mathematics --- eindige elementen --- Numerical solutions. --- Mathematics. --- Computer mathematics. --- Computational intelligence. --- Mechanics. --- Mechanics, Applied. --- Functional analysis. --- Computational Mathematics and Numerical Analysis. --- Computational Intelligence. --- Theoretical and Applied Mechanics. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Computer mathematics --- Electronic data processing --- Boundary value problems - numerical solutions --- Finite element method - mathematics