Parallel, fully automatic hp-adaptive 2d finite element package

Paszyński, Maciej; Kurtz, Jason; Demkowicz, Leszek

doi:10.1016/j.cma.2005.02.019

Cited by 35 publications

(26 citation statements)

References 10 publications

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“…As we have showed in the analysis of our 2D parallel hp adaptive code [19], the number of processors should be limited by the number of initial mesh elements covering singularities. In the Fichera problem, there are only 4 initial mesh elements covering area with strongest singularities, as presented in Fig.…”

Section: Relation Between Number Of Processors and Number Of Singularmentioning

confidence: 99%

“…The logic of the solver is dimension independent. The parallel frontal solver and its interface has been described in detail in the 2D version of the parallel hp adaptive code [19].…”

Section: Parallel Solvermentioning

confidence: 99%

“…In our 3D implementation of the parallel fully automatic hp adaptive code we have replaced the mesh reconciliation algorithm developed for the 2D version of the code [19] with a new ghost elements algorithm. The ghost elements are defined as an additional layer of elements adjacent to a given sub-domain from neighboring subdomains.…”

Section: Optimal Hp Refinementsmentioning

confidence: 99%

“…During each stage of hp adaptive algorithm, the following mesh regularity rules are enforced (compare [19]):…”

Section: Distributed Data Structurementioning

confidence: 99%

“…The paper is a continuation and extension of the twodimensional implementation presented in [19], based on the 2D implementation of the hp strategy described in [7]. Following the experience gained from the three-dimensional implementation of the strategy [21] (elliptic problems), and a two-dimensional implementation for Maxwell problems [9], a new version of the algorithm along with a 3D implementation of it, has recently been worked out [14].…”

Section: Introductionmentioning

confidence: 99%

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Parallel, fully automatic hp-adaptive 3D finite element package

Paszyński

Demkowicz

2006

Engineering with Computers

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The paper presents a description of par3Dhp -a 3D, parallel, fully automatic hp-adaptive finite element code for elliptic and Maxwell problems. The parallel implementation is an extension of the sequential code 3Dhp90, which generates, in a fully automatic mode, optimal hp meshes for various boundary value problems. The system constitutes an infrastructure for a class of parallel hp adaptive computations. Its modular structure allows for an independent parallelization of each component of the system. The presented work addresses parallelization of these components, including distributed data structures, load balancing and domain redistribution, parallel (multi-frontal) solver, optimal hp mesh refinements, and a main control module. All components communicate through a distributed data structure, and the control module synchronizes work of all components. The concept of ghost elements has been used to simplify the communication algorithms for parallel mesh refinements. The system has been implemented in Fortran 90 and MPI, and the load balancing is done through an interface with the ZOLTAN library. Numerical results are presented for the model Fichera problem.Key words: Automatic hp-adaptivity, Finite Element Method, Parallel algorithms, High performance computing AcknowledgmentThe work of the second author has been supported by Air Force under Contract F49620-98-1-0255. The computations reported in this work were done through the National Science Foundation's National Partnership for Advanced Computational Infrastructure. The authors are greatly indebted to Jason Kurtz for numerous discussions on the subject. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR'S ACRONYM(S) SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution unlimited SUPPLEMENTARY NOTESThe original document contains color images. ABSTRACTThe paper presents a description of par3Dhp -a 3D, parallel, fully automatic hp-adaptive finite element code for elliptic and Maxwell problems. The parallel implementation is an extension of the sequential code 3Dhp90, which generates, in a fully automatic mode, optimal hp meshes for various boundary value problems. The system constitutes an infrastructure for a class of parallel hp adaptive computations. Its modular structure allows for an independent parallelization of each component of the system. The presented work addresses parallelization of these components, including distributed data structures, load balancing and domain redistribution, parallel (multi-frontal) solver, optimal hp mesh refinements, and a main control module. All components communicate through a distributed data structure, and the control module synchronizes work of all components. The concept of ghost elements has been used to simplify the communication algorithms for parallel mesh refinements. The system has been implemented in Fortran 90 and MPI, and the load balancing is done through an interface with the ZOLTAN library. Numerical results are pres...

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Section: Relation Between Number Of Processors and Number Of Singularmentioning

confidence: 99%

“…The logic of the solver is dimension independent. The parallel frontal solver and its interface has been described in detail in the 2D version of the parallel hp adaptive code [19].…”

Section: Parallel Solvermentioning

confidence: 99%

Section: Optimal Hp Refinementsmentioning

confidence: 99%

“…During each stage of hp adaptive algorithm, the following mesh regularity rules are enforced (compare [19]):…”

Section: Distributed Data Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Parallel, fully automatic hp-adaptive 3D finite element package

Paszyński

Demkowicz

2006

Engineering with Computers

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Examples of Multiscale Simulations

2022

Multiscale Modelling and Optimisation of Materials and Structures

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Combination of adaptive grid‐embedding and equation adaptation methods for compressible viscous flows

Mirjalily

Ameri

2010

Numer Methods Biomed Eng

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SUMMARYVarious adaptation techniques for the computation of viscous flows have been employed. This work describes the combination of adaptive grid-embedding and equation adaptation methods on semi-structured grids for compressible viscous flows. In this combination, Navier-Stokes equations are solved within appreciably viscous macro-cells, whereas for the remaining macro-cells the equations are reduced to the Euler equations. Meanwhile, subdividing is used in macro-cells from the beginning of the adaptation procedure without any restriction. This combination is used to solve three internal and external flow model problems. The combination of adaptive grid-embedding and equation adaptation is complex, but it is shown in this paper that it is efficient and worth to be used in CPU time-and memory space-consuming problems.

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Parallel, fully automatic hp-adaptive 2d finite element package

Cited by 35 publications

References 10 publications

Parallel, fully automatic hp-adaptive 3D finite element package

Parallel, fully automatic hp-adaptive 3D finite element package

Examples of Multiscale Simulations

Combination of adaptive grid‐embedding and equation adaptation methods for compressible viscous flows

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