most citedImproved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations

10 citations · 34 across the 12 of their papers we have counts for

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6 papers · 1 filter

math.NA2025

A Discontinuous Galerkin Consistent Splitting Method for the Incompressible Navier-Stokes Equations

Dominik Still, Natalia Nebulishvili, Richard Schussnig +2

This work presents the discontinuous Galerkin discretization of the consistent splitting scheme proposed by Liu [J. Liu, J. Comp. Phys., 228(19), 2009]. The method enforces the div…

math.NA2025

Matrix-Free Evaluation Strategies for Continuous and Discontinuous Galerkin Discretizations on Unstructured Tetrahedral Grids

Dominik Still, Niklas Fehn, Wolfgang A. Wall +1

This study presents novel strategies for improving the node-level performance of matrix-free evaluation of continuous and discontinuous Galerkin spatial discretizations on unstruct…

math.NA2025

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead

Michał Wichrowski, Mohsen Rezaee-Hajidehi, Jože Korelc +2

This study explores matrix-free tangent evaluations in finite-strain elasticity with the use of automatically-generated code for the quadrature-point level calculations. The code g…

math.NA2024

Matrix-free implementation of the non-nested multigrid method

Marco Feder, Luca Heltai, Martin Kronbichler +1

Traditionally, the geometric multigrid method is used with nested levels. However, the construction of a suitable hierarchy for very fine and unstructured grids is, in general, hig…

math.NA2024★ 5 cited

Smoothers with localized residual computations for geometric multigrid methods

Michał Wichrowski, Peter Munch, Martin Kronbichler +1

We improve the performance of multigrid solvers on many-core architectures with cache hierarchies by reorganizing operations in the smoothing step to minimize memory transfers. We…

math.NA2024★ 1 cited

High-performance matrix-free unfitted finite element operator evaluation

Maximilian Bergbauer, Peter Munch, Wolfgang A. Wall +1

Unfitted finite element methods, like CutFEM, have traditionally been implemented in a matrix-based fashion, where a sparse matrix is assembled and later applied to vectors while s…