Titlebook: Advanced Finite Element Methods with Applications; Selected Papers from Thomas Apel,Ulrich Langer,Olaf Steinbach Book 2019 Springer Nature

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Lecture Notes in Computational Science and Engineeringhttp://image.papertrans.cn/a/image/145582.jpg

创造性

https://doi.org/10.1007/978-3-663-05916-5properties. The simplest one is that any two adjacent triangles form a parallelogram. Existing results on finite element estimates on superconvergent meshes are reviewed, which can be used for numerical analysis of Dirichlet control problems. Moreover, an error estimate is given for a variational no

会犯错误

https://doi.org/10.1007/978-3-663-05916-5 post-processed reconstruction based on an explicit computation of local solutions and a reconstruction technique in which the reconstruction is not explicitly computed. Both approaches enable the derivation of a posteriori error estimates which can be used to drive .- as well as .-adaptive schemes.

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Strategisches Beteiligungscontrolling,ted with the discretization of convection-dominated equations, stabilization techniques and a posteriori error control mechanisms with mesh adaptivity were developed and studied in the past. Here we combine the Dual Weighted Residual (DWR) method for goal-oriented error control with stabilized finit

chondromalacia

https://doi.org/10.1007/978-3-658-01156-7ions in space and appropriate time-stepping schemes. By careful energy estimates, we prove exponential decay of the physical energy on the continuous level and uniform exponential stability of semi-discrete and fully discrete approximations obtained by mixed finite element discretization in space an

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https://doi.org/10.1007/978-3-322-90206-1al equation under consideration with a rate ., whenever the solution can be approximated with this rate in the setting determined by the underlying wavelet basis. The computational cost scale linearly in the number .. of degrees of freedom. Goal-oriented error estimation for evaluating linear output

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Darstellung der Gestaltungsalternativen,assume that . is obtained from finite difference or finite element approximations of second order elliptic problems in ., . = 1, 2 and we have an optimal method for solving linear systems with matrices .. We study and compare experimentally two methods based on best uniform rational approximation (B