作者: angina-pectoris 時(shí)間: 2025-3-22 00:05
The Poisson Equation,tation (3.6) of the solution, provided it is existing. Concerning the existence, Theorem 3.13 contains a negative statement (cf. .): The Poisson equation with a continuous right-hand side . may possess no classical solution. A sufficient condition for a classical solution is the H?lder continuity of作者: 宏偉 時(shí)間: 2025-3-22 04:16
Difference Methods for the Poisson Equation,sson equation .. This simple example is chosen to show the generation of the discrete system of equations. The difference equations are complemented by the Dirichlet boundary condition. The equations of the resulting linear system correspond to the inner grid points, while the boundary data appear i作者: Adulate 時(shí)間: 2025-3-22 07:36
General Boundary-Value Problems,tement is the maximum-minimum principle in §5.1.2. In §5.1.3 sufficient conditions for the uniqueness of the solution and the continuous dependence on the data are proved. The discretisation of the general differential equation in a square is described in §5.1.4. Section 5.2 treats alternative bound作者: murmur 時(shí)間: 2025-3-22 09:03
Tools from Functional Analysis,paces as well as the operators as linear and bounded mappings between these spaces. In most of the later applications these spaces will be function spaces, containing for instance the solutions of the differential equations. It will turn out that the Sobolev spaces from Section 6.2 are well suited f作者: 果核 時(shí)間: 2025-3-22 16:35
Variational Formulation,ces another approach via a variational problem (Dirichlet’s principle). Combining the variational formulation with the Sobolev spaces will be successful. In Section 7.2 the boundary-value problem of order 2. with homogeneous Dirichlet conditions is transferred into the variational formulation in the作者: 果核 時(shí)間: 2025-3-22 19:29
The Finite-Element Method,rmulation is extremely important for numerical purposes. It establishes a new, very flexible discretisation method. After historical remarks in Section 8.1 we introduce the Ritz–Galerkin method in Section 8.2. The basic principle is the replacement of the function space . in the variational formulat作者: minion 時(shí)間: 2025-3-22 23:53 作者: Immortal 時(shí)間: 2025-3-23 04:06 作者: GRIN 時(shí)間: 2025-3-23 06:15
Elliptic Eigenvalue Problems, some basic terms are discussed in Section 11.1. Since we do not require the system to be symmetric, also the adjoint problem must be treated. Section 11.2 is devoted to the finite-element discretisation by a family . of subspaces. Theorems 11.13 and 11.15 state an important result: Each eigenvalue 作者: 特別容易碎 時(shí)間: 2025-3-23 10:40
Stokes Equations,ent the systems of the Stokes and Lamé equations as particular examples and define the ellipticity of such systems. Section 12.2 starts with the variational formulation of Stokes’ equations. The saddle-point structure is discussed in .12.2.2. Solvability of general saddle-point problems is analysed 作者: 熄滅 時(shí)間: 2025-3-23 14:03
https://doi.org/10.1007/978-3-662-54961-2difference methods; elliptic boundary value problems; finite elements methods; variational formulation; 作者: troponins 時(shí)間: 2025-3-23 19:41 作者: 一起 時(shí)間: 2025-3-24 01:11 作者: 敵手 時(shí)間: 2025-3-24 03:30 作者: flaunt 時(shí)間: 2025-3-24 07:03 作者: 投射 時(shí)間: 2025-3-24 13:32
https://doi.org/10.1007/978-3-663-07741-1sson equation .. This simple example is chosen to show the generation of the discrete system of equations. The difference equations are complemented by the Dirichlet boundary condition. The equations of the resulting linear system correspond to the inner grid points, while the boundary data appear i作者: nostrum 時(shí)間: 2025-3-24 16:22 作者: 殘忍 時(shí)間: 2025-3-24 20:58 作者: 支形吊燈 時(shí)間: 2025-3-25 03:07 作者: colostrum 時(shí)間: 2025-3-25 05:08
Lineare Gleichungssysteme und Determinanten,rmulation is extremely important for numerical purposes. It establishes a new, very flexible discretisation method. After historical remarks in Section 8.1 we introduce the Ritz–Galerkin method in Section 8.2. The basic principle is the replacement of the function space . in the variational formulat作者: RACE 時(shí)間: 2025-3-25 10:44 作者: arthroscopy 時(shí)間: 2025-3-25 15:10
,Einführung in die Funktionentheorie,ncipal part has jumping coefficients. Starting from the variational formulation, one obtains a strong formulation for each subdomain in which the coefficients are smooth. In addition, one gets transition equations at the inner boundary .. Finite-element methods should use a triangulation which follo作者: 觀察 時(shí)間: 2025-3-25 17:53 作者: 小畫(huà)像 時(shí)間: 2025-3-25 22:24 作者: 愛(ài)哭 時(shí)間: 2025-3-26 01:03
https://doi.org/10.1007/978-3-663-07741-1sson equation .. This simple example is chosen to show the generation of the discrete system of equations. The difference equations are complemented by the Dirichlet boundary condition. The equations of the resulting linear system correspond to the inner grid points, while the boundary data appear in the right– hand side of the system.作者: Ingredient 時(shí)間: 2025-3-26 08:12
Difference Methods for the Poisson Equation,sson equation .. This simple example is chosen to show the generation of the discrete system of equations. The difference equations are complemented by the Dirichlet boundary condition. The equations of the resulting linear system correspond to the inner grid points, while the boundary data appear in the right– hand side of the system.作者: 闡釋 時(shí)間: 2025-3-26 10:26
978-3-662-57217-7Springer-Verlag GmbH Germany 2017作者: 規(guī)范要多 時(shí)間: 2025-3-26 14:48 作者: 受傷 時(shí)間: 2025-3-26 20:21
Wolfgang HackbuschProvides a detailed analysis of both the continuous boundary value problems and the discretisation methods.Includes numerous exercises for readers to test their understanding of the text.Discusses in 作者: 路標(biāo) 時(shí)間: 2025-3-26 21:04 作者: 知道 時(shí)間: 2025-3-27 02:39 作者: omnibus 時(shí)間: 2025-3-27 07:48 作者: opprobrious 時(shí)間: 2025-3-27 11:40 作者: instate 時(shí)間: 2025-3-27 14:24 作者: Pepsin 時(shí)間: 2025-3-27 20:27 作者: 消瘦 時(shí)間: 2025-3-28 01:50 作者: 完成才能戰(zhàn)勝 時(shí)間: 2025-3-28 04:12
Tools from Functional Analysis,ction 6.3 introduces dual spaces and dual mappings. Compactness properties are important for statements about the unique solvability. Compact operators and the Riesz–Schauder theory are presented in Section 6.4. The weak formulation . of the boundary-value problem is based on bilinear forms describe作者: Spina-Bifida 時(shí)間: 2025-3-28 07:00 作者: LAIR 時(shí)間: 2025-3-28 12:53
The Finite-Element Method,imation properties of the subspace (.8.3.2). The finite elements introduced in Section 8.4 form a special finite-dimensional subspace offering many practical advantages. The corresponding error estimates are given in Section 8.5. Generalisations to differential equations of higher order and to non-p作者: 嚴(yán)重傷害 時(shí)間: 2025-3-28 17:24 作者: 谷物 時(shí)間: 2025-3-28 21:26 作者: 構(gòu)成 時(shí)間: 2025-3-29 01:39
Book 2017Latest edition necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. The variational formulation together with the necessary background from functional作者: 官僚統(tǒng)治 時(shí)間: 2025-3-29 03:46
The Potential Equation,tions coincide with harmonic functions. The mean-value property implies the maximum minimum principle: non-constant functions have no local extrema. An important conclusion is the uniqueness of the solution (Theorem 2.18). Finally, in ., it is shown that the solution depends continuously on the boundary data.作者: 憤憤不平 時(shí)間: 2025-3-29 09:13
0179-3632 eaders to test their understanding of the text.Discusses in .This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplac作者: 發(fā)微光 時(shí)間: 2025-3-29 14:03
Potenzen Logarithmus Umkehrfunktion,tions coincide with harmonic functions. The mean-value property implies the maximum minimum principle: non-constant functions have no local extrema. An important conclusion is the uniqueness of the solution (Theorem 2.18). Finally, in ., it is shown that the solution depends continuously on the boundary data.作者: 貨物 時(shí)間: 2025-3-29 15:48
,Gew?hnliche Differentialgleichungen,on of the Green function for a large class of domains. In . we replace the Dirichlet boundary condition by the Neumann condition. The final . is a short introduction into the integral equation method. The solution of the boundary-value problem can indirectly be obtained by solving an integral equation.作者: Lacerate 時(shí)間: 2025-3-29 22:43 作者: Biomarker 時(shí)間: 2025-3-30 01:35 作者: slipped-disk 時(shí)間: 2025-3-30 05:16
The Poisson Equation,on of the Green function for a large class of domains. In . we replace the Dirichlet boundary condition by the Neumann condition. The final . is a short introduction into the integral equation method. The solution of the boundary-value problem can indirectly be obtained by solving an integral equation.作者: 貝雷帽 時(shí)間: 2025-3-30 11:44 作者: 長(zhǎng)矛 時(shí)間: 2025-3-30 12:47 作者: 支形吊燈 時(shí)間: 2025-3-30 17:06 作者: 尖牙 時(shí)間: 2025-3-30 23:19
