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pro vyhledávání: '"Brenner, Susanne"'
We construct and analyze a multiscale finite element method for an elliptic distributed optimal control problem with pointwise control constraints, where the state equation has rough coefficients. We show that the performance of the multiscale finite
Externí odkaz:
http://arxiv.org/abs/2309.16062
We investigate multiscale finite element methods for an elliptic distributed optimal control problem with rough coefficients. They are based on the (local) orthogonal decomposition methodology of M\aa lqvist and Peterseim.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/2110.15885
Autor:
Brenner, Susanne C.
Publikováno v:
in B. Acu et al.(eds.), Advances in Mathematical Sciences, Association for Women in Mathematics Series 21 (2020), pp. 3-16
Finite element methods for a model elliptic distributed optimal control problem with pointwise state constraints are considered from the perspective of fourth order boundary value problems.
Externí odkaz:
http://arxiv.org/abs/2008.08141
Autor:
Brenner, Susanne C.
A general superapproximation result is derived in this paper which is useful for the local/interior error analysis of finite element methods.
Externí odkaz:
http://arxiv.org/abs/2008.04689
A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints
We consider a one dimensional elliptic distributed optimal control problem with pointwise constraints on the derivative of the state. By exploiting the variational inequality satisfied by the derivative of the optimal state, we obtain higher regulari
Externí odkaz:
http://arxiv.org/abs/2003.08504
We investigate $C^1$ finite element methods for one dimensional elliptic distributed optimal control problems with pointwise constraints on the derivative of the state formulated as fourth order variational inequalities for the state variable. For th
Externí odkaz:
http://arxiv.org/abs/2001.10933
Autor:
Brenner, Susanne C., Kawecki, Ellya L.
In this paper we conduct a priori and a posteriori error analysis of the $C^0$ interior penalty method for Hamilton-Jacobi-Bellman equations, with coefficients that satisfy the Cordes condition. These estimates show the quasi-optimality of the method
Externí odkaz:
http://arxiv.org/abs/1911.05407
Akademický článek
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Autor:
Brenner, Susanne C., Sung, Li-yeng
We construct bounded linear operators that map $H^1$ conforming Lagrange finite element spaces to $H^2$ conforming virtual element spaces in two and three dimensions. These operators are useful for the analysis of nonstandard finite element methods.
Externí odkaz:
http://arxiv.org/abs/1903.08476