Elliptic differential equations: Theory and numerical treatment
 |
|
Описание:
The book offers a simultaneous presentation of the theory and of the numerical treatment of elliptic problems. The author starts with a discussion of the Laplace equation in the classical formulation and its discretisation by finite differences and deals with topics of gradually increasing complexity in the following chapters. He introduces the variational formulation of boundary value problems together with the necessary background from functional analysis and describes the finite element method including the most important error estimates. A more advanced chapter leads the reader into the theory of regularity. The reader will also find more details about the discretisation of singularly perturbed equations and eigenvalue problems. The author discusses the Stokes problem as an example of a saddle point problem taking into account its relevance to applications in fluid dynamics.Похожие книги
 | A Cauchy problem in nonlinear heat conduction Автор: De Lillo S., Lupo G., Sanchini G. Год: 2006 |
| A bicriteria stochastic programming model for capacity expansion in telecommunications Автор: Riis M., Lodahl J. Год: 2002 |
| A boundary-value problem for the biharmonic equation and the iterated Laplacian in a 3D-domain with an edge Автор: Nazarov S. A., Sweers G. H. Год: 2007 |
| A branch-and-bound algorithm for the resource-constrained project scheduling problem Автор: Dorndorf U., Pesch Е., Phan-Huv Т. Год: 2000 |
| A Certain Inversion Problem for the Ray Transform with Incomplete Data Автор: Begmatov A. K. Год: 2001 |
 | Elliptic Boundary Value Problem Год: 2011 |