Zobrazeno 1 - 10
of 177
pro vyhledávání: '"Ulrich Langer"'
Publikováno v:
Mathematical and Computational Applications, Vol 25, Iss 3, p 40 (2020)
Phase-field fracture models lead to variational problems that can be written as a coupled variational equality and inequality system. Numerically, such problems can be treated with Galerkin finite elements and primal-dual active set methods. Specific
Externí odkaz:
https://doaj.org/article/f469ba7d732c435981fe4e289057fe61
This book is the third volume of three volume series recording the'Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment'taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments i
Autor:
Andreas Schafelner, Ulrich Langer
Publikováno v:
Journal of Numerical Mathematics. 30:247-266
We present, analyze, and test locally stabilized space–time finite element methods on fully unstructured simplicial space–time meshes for the numerical solution of space–time tracking parabolic optimal control problems with the standard L 2-reg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4cb77dda65084b2c1f9bd02b1e918a76
https://doi.org/10.1515/jnma-2021-0059
https://doi.org/10.1515/jnma-2021-0059
Autor:
Johannes Kraus, Ulrich Langer
The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Inte
Autor:
Ulrich Langer, Olaf Steinbach
Publikováno v:
Computational Methods in Applied Mathematics. 23:297-299
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef53f93f391a3ed11bca69dc2f87d06d
https://doi.org/10.1515/cmam-2023-0037
https://doi.org/10.1515/cmam-2023-0037
We consider standard tracking-type, distributed elliptic optimal control problems with L 2 L^{2} regularization, and their finite element discretization. We are investigating the L 2 L^{2} error between the finite element approximation u ϱ h u_{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1899d0ddfa411707b4d523241a2de42
http://arxiv.org/abs/2207.04664
http://arxiv.org/abs/2207.04664
Autor:
Marco Zank, Ulrich Langer
Publikováno v:
SIAM Journal on Scientific Computing. 43:A2714-A2736
We consider a space-time variational formulation of parabolic initial-boundary value problems in anisotropic Sobolev spaces in combination with a Hilbert-type transformation. This variational setting is the starting point for the space-time Galerkin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff1a6bcfaeb8dc6f48f70a0f79150bb1
https://doi.org/10.1137/20m1358128
https://doi.org/10.1137/20m1358128
Autor:
Andreas Schafelner, Ulrich Langer
Publikováno v:
Computational Methods in Applied Mathematics. 20:677-693
We consider locally stabilized, conforming finite element schemes on completely unstructured simplicial space-time meshes for the numerical solution of parabolic initial-boundary value problems with variable, possibly discontinuous in space and time,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc2130d4325a578da44133b8fd2f16b1
https://doi.org/10.1515/cmam-2020-0042
https://doi.org/10.1515/cmam-2020-0042
Publikováno v:
SIAM Journal on Scientific Computing. 42:A371-A394
In this work, we derive two-sided a posteriori error estimates for the dual-weighted residual (DWR) method. We consider both single and multiple goal functionals. Using a saturation assumption, we ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::839113c3c2f1e6f8cfa9630c09d24f67
https://doi.org/10.1137/18m1227275
https://doi.org/10.1137/18m1227275