Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Neumüller, Martin"'
We expand the applicabilities and capabilities of an already existing space-time parallel method based on a block Jacobi smoother. First we formulate a more detailed criterion for spatial coarsening, which enables the method to deal with unstructured
Externí odkaz:
http://arxiv.org/abs/1911.09548
We propose and investigate new robust preconditioners for space-time Isogeometric Analysis of parabolic evolution problems. These preconditioners are based on a time parallel multigrid method. We consider a decomposition of the space-time cylinder in
Externí odkaz:
http://arxiv.org/abs/1802.09277
We generalize the construction and analysis of auxiliary space preconditioners to the n-dimensional finite element subcomplex of the de Rham complex. These preconditioners are based on a generalization of a decomposition of Sobolev space functions in
Externí odkaz:
http://arxiv.org/abs/1710.07840
Publikováno v:
Advances in Applied Mathematics 80:1-23, 2016
In the convergence analysis of numerical methods for solving partial differential equations (such as finite element methods) one arrives at certain generalized eigenvalue problems, whose maximal eigenvalues need to be estimated as accurately as possi
Externí odkaz:
http://arxiv.org/abs/1602.01304
We present and analyze a new stable space-time Isogeometric Analysis (IgA) method for the numerical solution of parabolic evolution equations in fixed and moving spatial computational domains. The discrete bilinear form is elliptic on the IgA space w
Externí odkaz:
http://arxiv.org/abs/1509.02008
Autor:
Karabelas, Elias, Neumüller, Martin
In this paper we present a discontinuous Galerkin finite element method for the solution of the transient Stokes equations on moving domains. For the discretization we use an interior penalty Galerkin approach in space, and an upwind technique in tim
Externí odkaz:
http://arxiv.org/abs/1505.03973
Autor:
Gander, Martin J., Neumüller, Martin
We present and analyze a new space-time parallel multigrid method for parabolic equations. The method is based on arbitrarily high order discontinuous Galerkin discretizations in time, and a finite element discretization in space. The key ingredient
Externí odkaz:
http://arxiv.org/abs/1411.0519
Autor:
Gander, Martin J., Neumüller, Martin
We present and analyze for a scalar linear evolution model problem a time multigrid algorithm for DG-discretizations in time. We derive asymptotically optimized parameters for the smoother, and also an asymptotically sharp convergence estimate for th
Externí odkaz:
http://arxiv.org/abs/1409.5254
Autor:
Voronin, Kirill, Lee, Chak Shing, Neumüller, Martin, Sepulveda, Paulina, Vassilevski, Panayot S.
Publikováno v:
In Journal of Computational Physics 15 November 2018 373:863-876
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 July 2016 306:342-363