Uniform title 
Mnogosetochnye metody konechnykh ėlementov. English

Physical description 
xiv, 331 pages : illustrations ; 25 cm. 
Series 
Mathematics and its applications ; v. 318. 

Mathematics and its applications (Kluwer Academic Publishers) ; v. 318.

Bibliography 
Includes bibliographical references (pages 313326) and index. 
Contents 
1. Elliptic boundaryvalue problems and BubnovGalerkin method  2. General properties of finite elements  3. On the convergence of approximate solutions  4. General description of multigrid algorithms  5. Realization of the algorithms for secondorder equations  6. Solving nonlinear problems and systems of equations. 
Summary 
In this book two rapidly developing fields are combined: that of finite element methods, and that of multigrid algorithms. At the theoretical level the rate of convergence is justified of various multigrid algorithms for selfadjoint and nonselfadjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steadystate Stokes and NavierStokes problems. 
Subject 
Finite element method.


Multigrid methods (Numerical analysis)


Boundary value problems.


Mathematical physics.


Engineering mathematics.

ISBN 
0792332903 (acidfree paper) 
