標(biāo)題: Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 2006Latest edition Springer-Verlag GmbH Germany 2006 Approximati [打印本頁] 作者: Enlightening 時(shí)間: 2025-3-21 20:07
書目名稱Galerkin Finite Element Methods for Parabolic Problems影響因子(影響力)
書目名稱Galerkin Finite Element Methods for Parabolic Problems影響因子(影響力)學(xué)科排名
書目名稱Galerkin Finite Element Methods for Parabolic Problems網(wǎng)絡(luò)公開度
書目名稱Galerkin Finite Element Methods for Parabolic Problems網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Galerkin Finite Element Methods for Parabolic Problems被引頻次
書目名稱Galerkin Finite Element Methods for Parabolic Problems被引頻次學(xué)科排名
書目名稱Galerkin Finite Element Methods for Parabolic Problems年度引用
書目名稱Galerkin Finite Element Methods for Parabolic Problems年度引用學(xué)科排名
書目名稱Galerkin Finite Element Methods for Parabolic Problems讀者反饋
書目名稱Galerkin Finite Element Methods for Parabolic Problems讀者反饋學(xué)科排名
作者: Mnemonics 時(shí)間: 2025-3-21 22:43
0179-3632 of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete it978-3-642-06967-3978-3-540-33122-3Series ISSN 0179-3632 Series E-ISSN 2198-3712 作者: correspondent 時(shí)間: 2025-3-22 04:16
Incomplete Iterative Solution of the Algebraic Systems at the Time Levels, guarantee that no loss occurs in the order of accuracy compared to the basic procedure in which the systems are solved exactly. For a successful iterative strategy it is also important to make a proper choice of the starting approximation at each time step.作者: 淺灘 時(shí)間: 2025-3-22 05:31
Book 2006Latest editionve felt a need and been encouraged by colleagues and friends to publish an updated version. In doingso I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete it作者: NEG 時(shí)間: 2025-3-22 09:16 作者: Engaging 時(shí)間: 2025-3-22 16:21 作者: Engaging 時(shí)間: 2025-3-22 20:04 作者: 四牛在彎曲 時(shí)間: 2025-3-22 23:13
https://doi.org/10.1007/978-3-031-10572-2mplies that optimal order convergence takes place for positive time even for nonsmooth initial data. We also show some other results which elucidate the relation between the convergence of the finite element solution and the regularity of the exact solution.作者: Meditative 時(shí)間: 2025-3-23 01:25 作者: 確定方向 時(shí)間: 2025-3-23 07:18 作者: 蝕刻術(shù) 時(shí)間: 2025-3-23 10:14 作者: 平靜生活 時(shí)間: 2025-3-23 15:58 作者: sphincter 時(shí)間: 2025-3-23 21:26 作者: 過分 時(shí)間: 2025-3-24 02:10 作者: MILK 時(shí)間: 2025-3-24 02:26
Multistep Backward Difference Methods,hen the method is stable and has a smoothing property analogous to that of single step methods of type IV. We shall use these properties to derive both smooth and nonsmooth data error estimates. In the end of the chapter we shall also discuss the use of two-step backward difference operators with variable time steps.作者: arterioles 時(shí)間: 2025-3-24 09:50
https://doi.org/10.1007/978-981-99-8174-8tes. We shall exemplify this by showing how certain integrals of the solution of the parabolic problem, and, in one space dimension, the values of the solution at certain points may be calculated with high accuracy using the semidiscrete solution.作者: 搜集 時(shí)間: 2025-3-24 14:37
https://doi.org/10.1007/978-3-662-45085-7ential, which allows the standard Euler and Crank-Nicolson procedures as special cases, and then to apply the results obtained to the spatially discrete problem investigated in the preceding chapters. The analysis uses eigenfunction expansions related to the elliptic operator occurring in the parabolic equation, which we assume positive definite.作者: 領(lǐng)袖氣質(zhì) 時(shí)間: 2025-3-24 15:48
Postscript: Beside(s) the Empiricalalso in the time variable and thus define and analyze a method which treats the time and space variables similarly. The approximate solution will be sought as a piecewise polynomial function in . of degree at most . – 1, which is not necessarily continuous at the nodes of the defining partition.作者: 嘮叨 時(shí)間: 2025-3-24 20:01
Negative Norm Estimates and Superconvergence,tes. We shall exemplify this by showing how certain integrals of the solution of the parabolic problem, and, in one space dimension, the values of the solution at certain points may be calculated with high accuracy using the semidiscrete solution.作者: MANIA 時(shí)間: 2025-3-25 01:37
Single Step Fully Discrete Schemes for the Homogeneous Equation,ential, which allows the standard Euler and Crank-Nicolson procedures as special cases, and then to apply the results obtained to the spatially discrete problem investigated in the preceding chapters. The analysis uses eigenfunction expansions related to the elliptic operator occurring in the parabolic equation, which we assume positive definite.作者: 使熄滅 時(shí)間: 2025-3-25 06:51 作者: Projection 時(shí)間: 2025-3-25 09:04 作者: 熱情的我 時(shí)間: 2025-3-25 14:34 作者: Glucose 時(shí)間: 2025-3-25 17:00 作者: violate 時(shí)間: 2025-3-25 22:29
Methods Based on More General Approximations of the Elliptic Problem,ot possible, in general, to satisfy the homogeneous boundary conditions exactly for this choice. This difficulty occurs, of course, already for the elliptic problem, and several methods have been suggested to deal with it. In this chapter we shall consider, as a typical example, a method which was proposed by Nitsche for this purpose.作者: 解決 時(shí)間: 2025-3-26 03:29 作者: 鳥籠 時(shí)間: 2025-3-26 06:20 作者: 元音 時(shí)間: 2025-3-26 11:04 作者: commonsense 時(shí)間: 2025-3-26 14:07 作者: PSA-velocity 時(shí)間: 2025-3-26 18:26
More General Parabolic Equations,ic equations, in which we allow the elliptic operator to have coefficients depending on both . and t, to contain lower order terms, and to be nonselfadjoint and nonpositive. In order not to have to account for possible exponential growth of stability constants and error bounds we restrict our consid作者: 草率女 時(shí)間: 2025-3-27 00:41 作者: FECT 時(shí)間: 2025-3-27 04:26 作者: ENNUI 時(shí)間: 2025-3-27 06:26 作者: 帶來的感覺 時(shí)間: 2025-3-27 12:34
Single Step Fully Discrete Schemes for the Inhomogeneous Equation,. Following the approach of Chapter 7 we shall first consider discretization in time of an ordinary differential equation in a Hilbert space setting, and then apply our results to the spatially discrete equation. In view of the work in Chapter 7 for the homogeneous equation with given initial data, 作者: Small-Intestine 時(shí)間: 2025-3-27 15:01 作者: flourish 時(shí)間: 2025-3-27 19:53
Multistep Backward Difference Methods,ultistep backward difference quotient of maximum order consistent with the number of time steps involved. We show that when this order is at most 6, then the method is stable and has a smoothing property analogous to that of single step methods of type IV. We shall use these properties to derive bot作者: 復(fù)習(xí) 時(shí)間: 2025-3-27 22:26
Incomplete Iterative Solution of the Algebraic Systems at the Time Levels,equations has to be solved at each time level of the time stepping procedure, and our analysis has always assumed that these systems are solved exactly. Because in applications these systems are of high dimension, direct methods are most often not appropriate, and iterative methods have to be used. 作者: 新手 時(shí)間: 2025-3-28 02:17
The Discontinuous Galerkin Time Stepping Method,es by means of a Galerkin finite element method, which results in a system of ordinary differential equations with respect to time, and then applying a finite difference type time stepping method to this system to define a fully discrete solution. In this chapter, we shall apply the Galerkin method 作者: 蕨類 時(shí)間: 2025-3-28 09:39
A Nonlinear Problem,e restrict our attention to the situation in the beginning of Chapter 1, with a convex plane domain and with piecewise linear approximating functions. We also consider the problem on a finite interval . = (0, . in time; some of the constants in our estimates will depend on ., without explicit mentio作者: NOCT 時(shí)間: 2025-3-28 13:06 作者: Corroborate 時(shí)間: 2025-3-28 18:14 作者: 排斥 時(shí)間: 2025-3-28 21:59
The , and , Methods,ulate the discrete problem. For simplicity we shall content ourselves with describing the situation in the case of a simple selfadjoint parabolic equation in one space dimension, and only study spatially semidiscrete methods.作者: bromide 時(shí)間: 2025-3-29 02:22
A Mixed Method,is formulation the gradient of the solution is introduced as a separate dependent variable, the approximation of which is sought in a different finite element space than the solution itself. One advantage of this procedure is that the gradient of the solution may be approximated to the same order of作者: 邪惡的你 時(shí)間: 2025-3-29 04:15 作者: Malcontent 時(shí)間: 2025-3-29 08:24
https://doi.org/10.1007/3-540-33122-0Approximation; Galerkin methods; differential equations; finite element method; finite element theory; ma作者: BLOT 時(shí)間: 2025-3-29 11:42
978-3-642-06967-3Springer-Verlag GmbH Germany 2006作者: Thyroiditis 時(shí)間: 2025-3-29 15:33 作者: MIR 時(shí)間: 2025-3-29 20:11
https://doi.org/10.1007/978-3-319-58969-5In this introductory chapter we shall study the standard Galerkin finite element method for the approximate solution of the model initial-boundary value problem for the heat equation作者: EPT 時(shí)間: 2025-3-30 02:07
Theatre at the End of the WorldIn this chapter we shall study the numerical solution of a singular parabolic equation in one space dimension which arises after reduction by polar coordinates of a radially symmetric parabolic equation in three space dimensions. We shall analyze and compare finite element discretizations based on two different variational formulations.作者: 被詛咒的人 時(shí)間: 2025-3-30 07:49 作者: 震驚 時(shí)間: 2025-3-30 12:14
A Singular Problem,In this chapter we shall study the numerical solution of a singular parabolic equation in one space dimension which arises after reduction by polar coordinates of a radially symmetric parabolic equation in three space dimensions. We shall analyze and compare finite element discretizations based on two different variational formulations.作者: Bumble 時(shí)間: 2025-3-30 15:49 作者: Ccu106 時(shí)間: 2025-3-30 20:26 作者: calorie 時(shí)間: 2025-3-30 23:36
https://doi.org/10.1007/978-3-030-62736-2ic equations, in which we allow the elliptic operator to have coefficients depending on both . and t, to contain lower order terms, and to be nonselfadjoint and nonpositive. In order not to have to account for possible exponential growth of stability constants and error bounds we restrict our consid作者: 門閂 時(shí)間: 2025-3-31 04:14 作者: 思想流動(dòng) 時(shí)間: 2025-3-31 06:21
https://doi.org/10.1007/978-3-031-42163-1respect to the maximum-norm, and some consequences of such estimates for error bounds for problems with smooth and nonsmooth initial data. The semidiscrete solution is sought in a piecewise linear finite element space belonging to a quasiuniform family.作者: 柔美流暢 時(shí)間: 2025-3-31 12:13
https://doi.org/10.1007/978-3-662-45085-7ogues of our previous stability and error estimates in the spatially semidiscrete case for both smooth and nonsmooth data. Our approach is to first study the discretization with respect to time of an abstract parabolic equation in a Hilbert space setting by using rational approximations of the expon作者: 阻擋 時(shí)間: 2025-3-31 15:18 作者: Hiatus 時(shí)間: 2025-3-31 19:21
Kathleen Lynch,Maureen Lyons,Sara Cantillonuse the semigroup approach and represent the time stepping operator as a Dunford-Taylor integral in the complex plane, which will allow us to treat more general elliptic operators than in the previous chapter. For the purpose of including also application to maximum-norm estimates with respect to a 作者: 怎樣才咆哮 時(shí)間: 2025-4-1 00:56 作者: 相一致 時(shí)間: 2025-4-1 05:17 作者: 阻礙 時(shí)間: 2025-4-1 08:46
Postscript: Beside(s) the Empiricales by means of a Galerkin finite element method, which results in a system of ordinary differential equations with respect to time, and then applying a finite difference type time stepping method to this system to define a fully discrete solution. In this chapter, we shall apply the Galerkin method 作者: 光亮 時(shí)間: 2025-4-1 11:04 作者: Forage飼料 時(shí)間: 2025-4-1 14:33
https://doi.org/10.1007/978-1-4939-6418-5ace was done by piecewise linear finite elements and in time we applied the backward Euler and Crank-Nicolson methods. In this chapter we shall restrict the consideration to the case when only the forcing term is nonlinear, but discuss more general approximations in the spatial variable. We shall be
