Results 1 
6 of
6
Distributed Point Objects. A New Concept for Parallel Finite Elements
"... Summary. We present a new concept for the realization of finite element computations on parallel machines with distributed memory. The parallel programming model is based on a dynamic data structure addressed by points. All geometric objects (cells, faces, edges) are referenced by their midpoints, a ..."
Abstract

Cited by 5 (3 self)
 Add to MetaCart
Summary. We present a new concept for the realization of finite element computations on parallel machines with distributed memory. The parallel programming model is based on a dynamic data structure addressed by points. All geometric objects (cells, faces, edges) are referenced by their midpoints, and all algebraic data structures (vectors and matrices) are tied to the nodal points of the finite elements. The parallel distribution of all objects is determined by processor lists assigned to the reference points. Based on this new model for Distributed Point Objects (DPO) a first application to a geotechnical application with TaylorHood elements on hexahedra has been presented in Wieners et al. [2004]. Here, we consider the extension to parallel refinement, curved boundaries, and multigrid preconditioners. Finally, we present parallel results for a nonlinear model problem with isoparametric cubic elements. 1
PLURALISM IN MATHEMATICS
, 2004
"... We defend pluralism in mathematics, and in particular Errett Bishop’s constructive approach to mathematics, on pragmatic grounds, avoiding the philosophical issues which have dissuaded many mathematicians from taking it seriously. We also explain the computational value of interval arithmetic. ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
We defend pluralism in mathematics, and in particular Errett Bishop’s constructive approach to mathematics, on pragmatic grounds, avoiding the philosophical issues which have dissuaded many mathematicians from taking it seriously. We also explain the computational value of interval arithmetic.
WHITHER MATHEMATICS?
, 2004
"... whither10.tex We describe three successive crises faced by mathematicians during the twentieth century, and their implications for the nature of mathematics. 1 ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
whither10.tex We describe three successive crises faced by mathematicians during the twentieth century, and their implications for the nature of mathematics. 1
SUPERCRITICAL MEAN FIELD EQUATIONS ON CONVEX DOMAINS AND THE ONSAGER’S STATISTICAL DESCRIPTION OF TWODIMENSIONAL TURBULENCE
"... ar ..."
(Show Context)
A COMPUTERASSISTED UNIQUENESS PROOF FOR A SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEM
"... ar ..."
(Show Context)