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
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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.
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