Zobrazeno 1 - 10
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pro vyhledávání: '"Marco Zank"'
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 57:29-67
For linear parabolic initial-boundary value problems with self-adjoint, time-homogeneous elliptic spatial operator in divergence form with Lipschitz-continuous coefficients, and for incompatible, time-analytic forcing term in polygonal/polyhedral dom
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
Publikováno v:
Domain Decomposition Methods in Science and Engineering XXVI ISBN: 9783030950248
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d818a26694a2c70195dfd7fbae57afe3
https://doi.org/10.1007/978-3-030-95025-5_68
https://doi.org/10.1007/978-3-030-95025-5_68
Autor:
Marco Zank
We present quadrature schemes to calculate matrices, where the so-called modified Hilbert transformation is involved. These matrices occur as temporal parts of Galerkin finite element discretizations of parabolic or hyperbolic problems when the modif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6b475ea993e1bb1d1551d5c060cb8fe
https://doi.org/10.1515/cmam-2022-0150
https://doi.org/10.1515/cmam-2022-0150
Autor:
Marco Zank, Olaf Steinbach
Publikováno v:
ETNA - Electronic Transactions on Numerical Analysis. 52:154-194
We propose and analyse new space-time Galerkin-Bubnov-type finite element formulations of parabolic and hyperbolic second-order partial differential equations in finite time intervals. Using Hilbert-type transformations, this approach is based on ell
Autor:
Marco Zank
We consider a space-time variational formulation of the second-order wave equation, where integration by parts is also applied with respect to the time variable. Conforming tensor-product finite element discretisations with piecewise polynomials of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6f91d8854da5157cf53e2f458b184b9
https://www.scipedia.com/public/Zank_2021a
https://www.scipedia.com/public/Zank_2021a
Autor:
Marco Zank, Olaf Steinbach
Publikováno v:
Journal of Mathematical Analysis and Applications. 505:125457
In this paper, we consider a variational formulation for the Dirichlet problem of the wave equation with zero boundary and initial conditions, where we use integration by parts in space and time. To prove unique solvability in a subspace of H 1 ( Q )
Autor:
Marco Zank
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030558734
ENUMATH
ENUMATH
For the second–order wave equation, we compare the Newmark Galerkin method with a stabilised space–time finite element method for tensor–product space–time discretisations with piecewise multilinear, continuous ansatz and test functions leadi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4b5cdb8499be888fcdd926cb22f292c
https://doi.org/10.1007/978-3-030-55874-1_122
https://doi.org/10.1007/978-3-030-55874-1_122
Autor:
Olaf Steinbach, Marco Zank
Publikováno v:
Journal of Numerical Mathematics.
In this note we consider an efficient data–sparse approximation of a modified Hilbert type transformation as it is used for the space–time finite element discretization of parabolic evolution equations in the anisotropic Sobolev space H 1,1/2(Q).
Autor:
Marco Zank, Olaf Steinbach
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030142438
We consider a space–time variational formulation of the wave equation by including integration by parts also in the time variable. A standard finite element discretization by using lowest order piecewise linear continuous functions then requires a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10418f2f133f558f36953e548c2ae4c8
https://doi.org/10.1007/978-3-030-14244-5_17
https://doi.org/10.1007/978-3-030-14244-5_17