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A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE
TLDR
An efficient interface specification as a set of C++ classes is derived that separates the applications from the grid data structures and thus, user implementations become independent of the underlying grid implementation.
A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework
TLDR
The definitions in this article serve as the basis for an implementation of an abstract grid interface as C++ classes in the framework (Bastian et al. 2008, this issue).
The Distributed and Unified Numerics Environment,Version 2.4
The Dune project has released version 2.4 on September 25, 2015. This paper describes the most significant improvements, interface and other changes for the Dune core modules Dune- Common,
Geodesic finite elements on simplicial grids
SUMMARY We introduce geodesic finite elements as a conforming way to discretize partial differential equations for functions v : Ω → M, where Ω is an open subset of Rd and M is a Riemannian
Infrastructure for the Coupling of Dune Grids
TLDR
An abstract interface for the geometric coupling of finite element grids is described, which encompasses a wide range of domain decomposition techniques in use today, including nonconforming grids and grids of different dimensions.
A monotone multigrid solver for two body contact problems in biomechanics
The purpose of the paper is to apply monotone multigrid methods to static and dynamic biomechanical contact problems. In space, a finite element method involving a mortar discretization of the
The Distributed and Unified Numerics Environment (DUNE)
TLDR
This paper shows how a generic mesh interface can be defined such that one algorithm, e.
Geodesic finite elements for Cosserat rods
We introduce geodesic finite elements as a new way to discretize the non-linear configuration space of a geometrically exact Cosserat rod. These geodesic finite elements naturally generalize standard
Simulation of Deformation and Flow in Fractured, Poroelastic Materials
We introduce a coupled system of PDEs for the modeling of the fluid-fluid and fluid-solid interaction in a poroelastic material with a single static fracture. The fluid flow in the fracture is
Geodesic Finite Elements of Higher Order
We generalize geodesic finite elements to obtain spaces of higher approximation order. Our approach uses a Riemannian center of mass with a signed measure. We prove well-definedness of this new
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