Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 2006Latest edition Springer-Verlag GmbH Germany 2006 Approximati

震惊

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.

Bumble

Ccu106

calorie

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

门闩

思想流动

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.

柔美流畅

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

阻挡

Hiatus

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

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