Computer Methods in Applied Mechanics and Engineering
Software—Practice & Experience
Parallel HP adaptive finite element analysis for viscous incompressible flow problems
Parallel HP adaptive finite element analysis for viscous incompressible flow problems
A parallel infrastructure for scalable adaptive finite element methods and its application to least squares C-infinity collocation
The Multifrontal Solution of Indefinite Sparse Symmetric Linear
ACM Transactions on Mathematical Software (TOMS)
Parallel Computing - special issue on parallel computing for irregular applications
Designing and Building Parallel Programs: Concepts and Tools for Parallel Software Engineering
Designing and Building Parallel Programs: Concepts and Tools for Parallel Software Engineering
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
SIAM Journal on Matrix Analysis and Applications
Hybrid scheduling for the parallel solution of linear systems
Parallel Computing - Parallel matrix algorithms and applications (PMAA'04)
Parallel, fully automatic hp-adaptive 3D finite element package
Engineering with Computers
Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications
Performance of multi level parallel direct solver for hp finite element method
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
Graph transformations for modeling parallel hp-adaptive finite element method
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part III
A Graph Grammar Model of the hp Adaptive Three Dimensional Finite Element Method. Part I
Fundamenta Informaticae
A Graph Grammar Model of the hp Adaptive Three Dimensional Finite Element Method. Part II
Fundamenta Informaticae
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The paper presents a general methodology for an efficient parallelization of the fully automatic hp-adaptive Finite Element Method (hp-FEM). The self-adaptive hp-FEM algorithm expressed in terms of the graph grammar productions is analyzed by utilizing the Partitioning Communication Agglomeration Mapping (PCAM) model. The computational tasks are defined over a graph model of the computational mesh. It is done for all parts of the algorithm: the generation of an initial mesh, direct solver (including the integration and elimination of degrees of freedom), mesh transformations (including the h and p refinements), as well as the selection of the optimal refinements. The computation and communication complexities of the resulting parallel algorithms are analyzed. The paper is concluded with the sequence of massive parallel computations. From the performed tests it implies that the code scales well up to 200 processors.