Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Pfefferer, Johannes"'
Autor:
Pfefferer, Johannes, Vexler, Boris
This paper is concerned with finite element error estimates for Neumann boundary control problems posed on convex and polyhedral domains. Different discretization concepts are considered and for each optimal discretization error estimates are establi
Externí odkaz:
http://arxiv.org/abs/2409.10736
Autor:
Pfefferer, Johannes, Vexler, Boris
In this paper error analysis for finite element discretizations of Dirichlet boundary control problems is developed. For the first time, optimal discretization error estimates are established in the case of three dimensional polyhedral and convex dom
Externí odkaz:
http://arxiv.org/abs/2401.02399
This work is concerned with quasi-optimal a-priori finite element error estimates for the obstacle problem in the $L^2$-norm. The discrete approximations are introduced as solutions to a finite element discretization of an accordingly regularized pro
Externí odkaz:
http://arxiv.org/abs/1811.09260
This paper deals with a priori pointwise error estimates for the finite element solution of boundary value problems with Neumann boundary conditions in polygonal domains. Due to the corners of the domain, the convergence rate of the numerical solutio
Externí odkaz:
http://arxiv.org/abs/1804.10904
Publikováno v:
SIAM J. Numer. Anal. 56 (2018) 2345-2374
The purpose of this work is to introduce and analyze a numerical scheme to efficiently solve boundary value problems involving the spectral fractional Laplacian. The approach is based on a reformulation of the problem posed on a semi-infinite cylinde
Externí odkaz:
http://arxiv.org/abs/1706.04066
Publikováno v:
MATHEMATICAL CONTROL AND RELATED FIELDS Volume 8, Number 1, March 2018
The paper deals with finite element approximations of elliptic Dirichlet boundary control problems posed on two-dimensional polygonal domains. Error estimates are derived for the approximation of the control and the state variables. Special features
Externí odkaz:
http://arxiv.org/abs/1704.08843
In this paper we introduce new characterizations of spectral fractional Laplacian to incorporate nonhomogeneous Dirichlet and Neumann boundary conditions. The classical cases with homogeneous boundary conditions arise as a special case. We apply our
Externí odkaz:
http://arxiv.org/abs/1703.05256
In this paper we study existence, regularity, and approximation of solution to a fractional semilinear elliptic equation of order $s \in (0,1)$. We identify minimal conditions on the nonlinear term and the source which leads to existence of weak solu
Externí odkaz:
http://arxiv.org/abs/1607.07704
The very weak solution of the Poisson equation with $L^2$ boundary data is defined by the method of transposition. The finite element solution with regularized boundary data converges in the $L^2(\Omega)$-norm with order $1/2$ in convex domains but h
Externí odkaz:
http://arxiv.org/abs/1602.05397
Several approaches are discussed how to understand the solution of the Dirichlet problem for the Poisson equation when the Dirichlet data are non-smooth such as if they are in $L^2$ only. For the method of transposition (sometimes called very weak fo
Externí odkaz:
http://arxiv.org/abs/1505.01229