Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Dedner, Andreas"'
Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A typical setup couples these two nonlinear partial differential equati
Externí odkaz:
http://arxiv.org/abs/2408.12582
We present two approaches to constructing isoparametric Virtual Element Methods of arbitrary order for linear elliptic partial differential equations on general two-dimensional domains. The first method approximates the variational problem transforme
Externí odkaz:
http://arxiv.org/abs/2404.11603
In this paper we introduce an abstract setting for the convergence analysis of the virtual element approximation of an acoustic vibration problem. We discuss the effect of the stabilization parameters and remark that in some cases it is possible to a
Externí odkaz:
http://arxiv.org/abs/2401.04485
Autor:
Dedner, Andreas, Hodson, Alice
In this paper we present a framework for the construction and implementation of general virtual element spaces based on projections built from constrained least squares problems. Building on the triples used for finite element spaces, we introduce th
Externí odkaz:
http://arxiv.org/abs/2208.08978
Autor:
Dedner, Andreas, Hodson, Alice
In this paper we develop a fully nonconforming virtual element method (VEM) of arbitrary approximation order for the two dimensional Cahn-Hilliard equation. We carry out the error analysis for the semidiscrete (continuous-in-time) scheme and verify t
Externí odkaz:
http://arxiv.org/abs/2111.11408
Autor:
Dedner, Andreas, Klöfkorn, Robert
This paper discusses a Python interface for the recently published DUNE-FEM-DG module which provides highly efficient implementations of the Discontinuous Galerkin (DG) method for solving a wide range of non linear partial differential equations (PDE
Externí odkaz:
http://arxiv.org/abs/2009.13416
Autor:
Dedner, Andreas, Hodson, Alice
We present a class of nonconforming virtual element methods for general fourth order partial differential equations in two dimensions. We develop a generic approach for constructing the necessary projection operators and virtual element spaces. Optim
Externí odkaz:
http://arxiv.org/abs/2008.01617
Cell blebs are protrusions of the cell membrane and can be instrumental for cell migration. We derive a continuum model for the mechanical and geometrical aspects of the onset of blebbing in terms of a force balance. It is abstract and flexible in th
Externí odkaz:
http://arxiv.org/abs/2003.00961
Autor:
Bastian, Peter, Blatt, Markus, Dedner, Andreas, Dreier, Nils-Arne, Engwer, Christian, Fritze, René, Gräser, Carsten, Grüninger, Christoph, Kempf, Dominic, Klöfkorn, Robert, Ohlberger, Mario, Sander, Oliver
This paper presents the basic concepts and the module structure of the Distributed and Unified Numerics Environment and reflects on recent developments and general changes that happened since the release of the first Dune version in 2007 and the main
Externí odkaz:
http://arxiv.org/abs/1909.13672
In this work we examine a posteriori error control for post-processed approximations to elliptic boundary value problems. We introduce a class of post-processing operator that `tweaks' a wide variety of existing post-processing techniques to enable e
Externí odkaz:
http://arxiv.org/abs/1906.04658