GEMS: A Fully Integrated PETSc-Based Solver for Coupled Cardiac Electromechanics and Bidomain Simulations [PDF]
Frontiers in Physiology, 2018 Cardiac contraction is coordinated by a wave of electrical excitation which propagates through the heart. Combined modeling of electrical and mechanical function of the heart provides the most comprehensive description of cardiac function and is one of ...
Sander Arens +3 more
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The Old and the New: Can Physics-Informed Deep-Learning Replace Traditional Linear Solvers? [PDF]
Frontiers in Big Data, 2021 Physics-Informed Neural Networks (PINN) are neural networks encoding the problem governing equations, such as Partial Differential Equations (PDE), as a part of the neural network.
Stefano Markidis
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Accelerating the Convergence of Multiphase Flow Simulations when Employing Non-Uniform Structured Grids [PDF]
Journal of Applied and Computational Mechanics, 2021 Non-uniform grids inevitably arise in multiphase flow simulation scenarios due to the need to resolve near-wall phenomena and/or large L/D ratios associated with the reactor configuration.
Gautham Krishnamoorthy +2 more
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Porting marine ecosystem model spin-up using transport matrices to GPUs [PDF]
Geoscientific Model Development, 2013 We have ported an implementation of the spin-up for marine ecosystem models based on transport matrices to graphics processing units (GPUs). The original implementation was designed for distributed-memory architectures and uses the Portable, Extensible ...
E. Siewertsen, J. Piwonski, T. Slawig
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A Parallel Solver for FSI Problems with Fictitious Domain Approach
Mathematical and Computational Applications, 2023 We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier–Stokes equations, while the solid
Daniele Boffi +3 more
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Algorithms, 2021 Incomplete Sparse Approximate Inverses (ISAI) has shown some advantages over sparse triangular solves on GPUs when it is used for the incomplete LU based preconditioner.
Wenpeng Ma, Wu Yuan, Xiazhen Liu
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A parallel implementation of the confined–unconfined aquifer system model for subglacial hydrology: design, verification, and performance analysis (CUAS-MPI v0.1.0) [PDF]
Geoscientific Model Development, 2023 The subglacial hydrological system affects (i) the motion of ice sheets through sliding, (ii) the location of lakes at the ice margin, and (iii) the ocean circulation by freshwater discharge directly at the grounding line or (iv) via rivers flowing over ...
Y. Fischler +10 more
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Parallel Implementation of a Two-level Algebraic ILU(k)-based Domain Decomposition Preconditioner
Trends in Computational and Applied Mathematics, 2018 We discuss the parallel implementation of a two-level algebraic ILU(k)-based domain decomposition preconditioner using the PETSc library. We present strategies to improve performance and minimize communication among processes during setup and application
Italo Cristiano L. Nievinski +5 more
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Parallel primal‐dual interior point method for the solution of dynamic optimal power flow
IET Generation, Transmission & Distribution, 2023 This work presents a novel solution for accelerating the dynamic optimal power flow using a distributed‐memory parallelization approach. Unlike other two‐stage relaxation‐based approaches (such as ADMM), the proposed approach constructs the entire ...
Rylee Sundermann +4 more
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SoftwareX, 2021 FLUBIO is a parallel, unstructured, finite-volume based solver for the solution of the Navier–Stokes equations and convection–diffusion like equations. The solver is written using modern Fortran (2003+ standard), it is object-oriented, and is organized ...
Edoardo Alinovi, Joel Guerrero
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