Displaying similar documents to “Determination of a nonlinear source term in a diffusion equation with final observations.”

Finite element solution of the fundamental equations of semiconductor devices. II

Miloš Zlámal (2001)

Applications of Mathematics

Similarity:

In part I of the paper (see Zlámal [13]) finite element solutions of the nonstationary semiconductor equations were constructed. Two fully discrete schemes were proposed. One was nonlinear, the other partly linear. In this part of the paper we justify the nonlinear scheme. We consider the case of basic boundary conditions and of constant mobilities and prove that the scheme is unconditionally stable. Further, we show that the approximate solution, extended to the whole time interval...

Reliable solution of parabolic obstacle problems with respect to uncertain data

Ján Lovíšek (2003)

Applications of Mathematics

Similarity:

A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier...