Hybrid sharp-diffuse interface finite element method for accurate thermo-hydrodynamic modeling of melt pools with rapid evaporation.
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The deal. II library, version 9.7
10 Pith papers cite this work. Polarity classification is still indexing.
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Walk on Heat Stars provides a boundary-integral Monte Carlo solver for parabolic PDEs with Neumann conditions via exact heat-ball sampling that yields unbiased estimators.
A cell-wise primary storage for continuous high-order FEM enables exact matrix-free CG iteration on GPUs by confining communication to the preconditioner and realizing DSS via sequential axis face exchanges without gather-scatter or atomics.
NektarIR is an MLIR-based domain-specific compiler that enables just-in-time compilation of finite element operators for spectral/hp element solvers on heterogeneous hardware.
A finite-element variational inference method delivers full-covariance Bayesian field reconstruction at dimensions exceeding 400,000 for 3D porous media flow using sparse precision parameterization from SPDE priors.
New parallel algorithms for flow routing on DEMs achieve 4.0 seconds runtime on a 1.88-billion-point model using 12,288 processes, extending prior sequential and moderately parallel methods.
A new high-performance framework combining R-ChFSI, mixed-precision computation, and compressed communication enables exascale fully relativistic pseudopotential DFT calculations for systems up to 100,000 electrons.
A DG discretization of the consistent splitting scheme for incompressible Navier-Stokes that eliminates splitting errors and velocity-pressure compatibility conditions through implicit divergence enforcement and specific flux choices.
Rust sparse kernels match Eigen and PSBLAS performance for CSC formats but trail PETSc's blocked CSR optimizations.
Numerical tests indicate that a stochastic Galerkin discretization with embedded slabwise space-time finite elements and GMRES-GMG solvers outperforms Monte-Carlo sampling for random parabolic problems in convergence and algebraic solver statistics.
citing papers explorer
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Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions
Walk on Heat Stars provides a boundary-integral Monte Carlo solver for parabolic PDEs with Neumann conditions via exact heat-ball sampling that yields unbiased estimators.
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Coalesced Matrix-Free Finite Elements in Cell-Wise Storage
A cell-wise primary storage for continuous high-order FEM enables exact matrix-free CG iteration on GPUs by confining communication to the preconditioner and realizing DSS via sequential axis face exchanges without gather-scatter or atomics.
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NektarIR: A Domain-Specific Compiler for High-Order Finite Element Operations on Heterogeneous Hardware
NektarIR is an MLIR-based domain-specific compiler that enables just-in-time compilation of finite element operators for spectral/hp element solvers on heterogeneous hardware.
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Scalable High-Dimensional Bayesian Field Reconstruction with Finite Elements: Application to 3D Porous Media Flow
A finite-element variational inference method delivers full-covariance Bayesian field reconstruction at dimensions exceeding 400,000 for 3D porous media flow using sparse precision parameterization from SPDE priors.
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Massively parallel flow routing and drainage area determination
New parallel algorithms for flow routing on DEMs achieve 4.0 seconds runtime on a 1.88-billion-point model using 12,288 processes, extending prior sequential and moderately parallel methods.
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Towards exascale fully relativistic pseudopotential density functional theory calculations enabled by mixed-precision computation and compressed-communication using residual based subspace iteration
A new high-performance framework combining R-ChFSI, mixed-precision computation, and compressed communication enables exascale fully relativistic pseudopotential DFT calculations for systems up to 100,000 electrons.
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A Discontinuous Galerkin Consistent Splitting Method for the Incompressible Navier-Stokes Equations
A DG discretization of the consistent splitting scheme for incompressible Navier-Stokes that eliminates splitting errors and velocity-pressure compatibility conditions through implicit divergence enforcement and specific flux choices.
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Evaluating Rust for Sparse Matrix Kernels in Scientific Computing
Rust sparse kernels match Eigen and PSBLAS performance for CSC formats but trail PETSc's blocked CSR optimizations.
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Stochastic Galerkin and Monte-Carlo methods for parabolic problems: Numerical performance of variational matrix-free approximations
Numerical tests indicate that a stochastic Galerkin discretization with embedded slabwise space-time finite elements and GMRES-GMG solvers outperforms Monte-Carlo sampling for random parabolic problems in convergence and algebraic solver statistics.