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Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O.

A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. (English) Zbl 1151.65088

Computing 82, No. 2-3, 121-138 (2008).
Summary: In part I [ibid. 82, No. 2–3, 103–119 (2008; Zbl 1151.65089)] we introduced an abstract definition of a parallel and adaptive hierarchical grid for scientific computing. Based on this definition we derive an efficient interface specification as a set of C++ classes. This interface separates the applications from the grid data structures. Thus, user implementations become independent of the underlying grid implementation. Modern C++ template techniques are used to provide an interface implementation without big performance losses. The implementation is realized as part of the software environment DUNE (http://dune-project.org/). Numerical tests demonstrate the flexibility and the efficiency of our approach.

Cited in 3 Reviews
Cited in 140 Documents

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65Y05 Parallel numerical computation
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation

Keywords:

DUNE; hierarchical grids; software; abstract interface; generic programming; C++; finite elements; finite volumes; Poisson equation; multigrid; numerical examples; grid refinement

Citations:

Zbl 1151.65089

Software:

STL; ALUGrid; ZIBAmira; ISTL; UG; deal.ii; Amira; Blitz++ library; DUNE; ALBERTA; Blitz++
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Full Text: DOI

References:

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