Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Andreas Veeser"'
Autor:
Andreas Veeser, Pietro Zanotti
Publikováno v:
SIAM Journal on Numerical Analysis. 57:266-292
We devise variants of classical nonconforming methods for symmetric elliptic problems. These variants differ from the original ones only by transforming discrete test functions into conforming func...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12b1441b33867df33a0b295ad714b346
https://doi.org/10.1137/17m1151651
https://doi.org/10.1137/17m1151651
Autor:
Christian Kreuzer, Andreas Veeser
Publikováno v:
10th International Conference on Adaptative Modeling and Simulation.
In a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded by the error. In order to remedy, we devise a new approach where the oscillation has the following
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::861e7f43020306f849a94c4d908fa73c
https://doi.org/10.23967/admos.2021.067
https://doi.org/10.23967/admos.2021.067
Autor:
Andreas Veeser
Publikováno v:
Computational Methods in Applied Mathematics. 19:295-310
Preserving positivity precludes that linear operators onto continuous piecewise affine functions provide near best approximations of gradients. Linear interpolation thus does not capture the approximation properties of positive continuous piecewise a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7c3984fdae04580bb0ad2ed497a8437
https://doi.org/10.1515/cmam-2018-0017
https://doi.org/10.1515/cmam-2018-0017
Autor:
Andreas Veeser, Pietro Zanotti
Publikováno v:
SIAM Journal on Numerical Analysis. 56:2871-2894
We devise new variants of the following nonconforming finite element methods: discontinuous Galerkin methods of fixed arbitrary order for the Poisson problem, the Crouzeix--Raviart interior penalty method for linear elasticity, and the quadratic $C^0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15905ee7c332ddd91a8a68d3f470fe6d
https://doi.org/10.1137/17m1151675
https://doi.org/10.1137/17m1151675
Autor:
Pietro Zanotti, Andreas Veeser
Publikováno v:
SIAM Journal on Numerical Analysis. 56:1621-1642
We consider nonconforming methods for symmetric elliptic problems and characterize their quasi-optimality in terms of suitable notions of stability and consistency. The quasi-optimality constant is determined, and the possible impact of nonconformity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c089affe430e698d1dda07f5d752c096
https://doi.org/10.1137/17m1116362
https://doi.org/10.1137/17m1116362
We devise a generalization of tree approximation that generates conforming meshes, i.e., meshes with a particular structure like edge-to-edge triangulations. A key feature of this generalization is that the choices of the cells to be subdivided are a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::548506e43eaf05634f82120a1822fce7
http://arxiv.org/abs/1912.13437
http://arxiv.org/abs/1912.13437
Quasi-Optimal Nonconforming Methods for Second-Order Problems on Domains with Non-Lipschitz Boundary
Autor:
Pietro Zanotti, Andreas Veeser
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783319964140
We introduce new nonconforming finite element methods for elliptic problems of second order. In contrast to previous work, we consider mixed boundary conditions and the domain does not have to lie on one side of its boundary. Each method is quasi-opt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55ecee17dc18bdd1dea16d9c07c0544e
https://doi.org/10.1007/978-3-319-96415-7_41
https://doi.org/10.1007/978-3-319-96415-7_41
We consider finite element solutions to quadratic optimization problems, where the state depends on the control via a well-posed linear partial differential equation. Exploiting the structure of a suitably reduced optimality system, we prove that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a295c4b0e6fa85d917204a762f7143f4
Autor:
Andreas Veeser
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783319964140
We consider the approximation of (generalized) functions with continuous piecewise polynomials or with piecewise polynomials that are allowed to be discontinuous. Best error localization then means that the best error in the whole domain is equivalen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f638a01f898371ff609c7e0715cd99fa
https://doi.org/10.1007/978-3-319-96415-7_31
https://doi.org/10.1007/978-3-319-96415-7_31
Publikováno v:
Numerical Methods for Partial Differential Equations. 33:1018-1042
We consider Poisson's equation with a finite number of weighted Dirac masses as a source term, together with its discretization by means of conforming finite elements. For the error in fractional Sobolev spaces, we propose residual-type a posteriori
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::342937aeb87f98924ed031a98924c7e7
https://doi.org/10.1002/num.22065
https://doi.org/10.1002/num.22065