Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Joscha Gedicke"'
Publikováno v:
Computational Methods in Applied Mathematics.
We construct a symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints on general polygonal domains. The resulting discrete problems are quadratic programs with simple box constraints tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1da59690513a0f284c7df4bc0c7acb9a
https://doi.org/10.1515/cmam-2022-0148
https://doi.org/10.1515/cmam-2022-0148
Publikováno v:
SIAM Journal on Numerical Analysis. 59:2237-2253
We present an equilibration-based a posteriori error estimator for Nedelec element discretizations of the magnetostatic problem. The estimator is obtained by adding a gradient correction to the est...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e1bf34a5dbff3e32f5c23fb7931ec6f
https://doi.org/10.1137/20m1333365
https://doi.org/10.1137/20m1333365
Publikováno v:
Journal of Scientific Computing
We present a novel \textit{a posteriori} error estimator for N\'ed\'elec elements for magnetostatic problems that is constant-free, i.e. it provides an upper bound on the error that does not involve a generic constant. The estimator is based on equil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b60d4dd8c08d2d483580cf2d90788ee6
https://doi.org/10.1007/s10915-020-01224-x
https://doi.org/10.1007/s10915-020-01224-x
Publikováno v:
SIAM Journal on Scientific Computing. 41:A3938-A3953
In this paper we present benchmark problems for non-self-adjoint elliptic eigenvalue problems with large defect and ascent. We describe the derivation of the benchmark problem with a discontinuous ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25a53d08c72a50b10bc723007fe12109
https://doi.org/10.1137/19m1243233
https://doi.org/10.1137/19m1243233
Publikováno v:
IMA Journal of Numerical Analysis. 40:1-28
We present theoretical and numerical results for two $P_1$ finite element methods for an elliptic distributed optimal control problem on general polygonal/polyhedral domains with pointwise state constraints.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b961ddc7f55598fc613871ddd7f309ed
https://doi.org/10.1093/imanum/dry071
https://doi.org/10.1093/imanum/dry071
Publikováno v:
Multiscale Modeling & Simulation. 16:1305-1332
In this paper, we develop a numerical multiscale method to solve the fractional Laplacian with a heterogeneous diffusion coefficient. When the coefficient is heterogeneous, this adds to the computational costs. Moreover, the fractional Laplacian is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86f59583730e88a444405e91a9a49f26
https://doi.org/10.1137/17m1147305
https://doi.org/10.1137/17m1147305
Publikováno v:
SIAM Journal on Numerical Analysis. 56:1758-1785
We design and analyze $C^0$ interior penalty methods for an elliptic distributed optimal control problem on nonconvex polygonal domains with pointwise state constraints.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2f33df10df2c2f0f59d92329695339b
https://doi.org/10.1137/17m1140649
https://doi.org/10.1137/17m1140649
Publikováno v:
SIAM Journal on Numerical Analysis. 55:87-108
We develop an a posteriori analysis of $C^0$ interior penalty methods for the displacement obstacle problem of clamped Kirchhoff plates. We show that a residual based error estimator originally designed for $C^0$ interior penalty methods for the boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49fb490adde7675c83bfa884926e8da4
https://doi.org/10.1137/15m1039444
https://doi.org/10.1137/15m1039444
Autor:
Carsten Carstensen, Joscha Gedicke
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 300:245-264
This paper presents a residual-based a posteriori error estimator for the Arnold–Winther mixed finite element that utilises a post-processing for the skew-symmetric part of the strain. Numerical experiments verify the proven reliability and efficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea3e3ff84c3975459803368389f48772
https://doi.org/10.1016/j.cma.2015.10.001
https://doi.org/10.1016/j.cma.2015.10.001
Publikováno v:
Journal of Scientific Computing. 68:848-863
We present an adaptive $$P_1$$P1 finite element method for two-dimensional transverse magnetic time harmonic Maxwell's equations with general material properties and general boundary conditions. It is based on reducing the boundary value problems for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::202982d900b43d0bdd06946b4caed188
https://doi.org/10.1007/s10915-015-0161-x
https://doi.org/10.1007/s10915-015-0161-x