Computer Methods in Applied Mechanics and Engineering
The p- and h-p version of the finite element method, an overview
ICOSAHOM '89 Proceedings of the conference on Spectral and high order methods for partial differential equations
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
Parallel programming with MPI
Multilevel k-way partitioning scheme for irregular graphs
Journal of Parallel and Distributed Computing
A generalized diagonal mass matrix spectral element method for non-quadrilateral elements
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
Stable Spectral Methods on Tetrahedral Elements
SIAM Journal on Scientific Computing
HPCN Europe 1996 Proceedings of the International Conference and Exhibition on High-Performance Computing and Networking
Reducing the bandwidth of sparse symmetric matrices
ACM '69 Proceedings of the 1969 24th national conference
Programming the Finite Element Method
Programming the Finite Element Method
Finite Elements in Analysis and Design
Exploring weak scalability for FEM calculations on a GPU-enhanced cluster
Parallel Computing
Hexahedral mesh generation constraints
Engineering with Computers - Special Issue: 5th Symposium on Trends in Unstructured Mesh Generation in 2006. Guest Editor: Steven J. Owen
High Performance Computing for Computational Science - VECPAR 2008
Journal of Parallel and Distributed Computing
High-order finite-element seismic wave propagation modeling with MPI on a large GPU cluster
Journal of Computational Physics
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We implement a 3D spectral-element method for multistage excavation problems. To simulate excavation in elastoplastic soils, we employ a Mohr-Coulomb yield criterion using an initial strain method. We parallelize the software based on non-overlapping domain decomposition using MPI. We verify the uniqueness principle for multistage excavation in linear elastic materials. We validate our serial and parallel programs, and illustrate several examples of multistage excavation in elastoplastic materials. Finally, we apply our software to a model of the Pyhasalmi ore mine in Finland. Strong-scaling performance tests involving multistage excavation show that the parallel program performs reasonably well for large-scale problems.