Hybrid sharp-diffuse interface finite element method for accurate thermo-hydrodynamic modeling of melt pools with rapid evaporation.
An Unfitted Finite Element Method, Based on
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4representative citing papers
Owner-selected Falk-Winther bubble transforms provide L2- and H1-stable, degree-preserving decompositions for variable-degree hp finite elements, enabling hp-uniform additive Schwarz preconditioners for conforming reaction-diffusion and fitted-interface problems.
Develops explicit IFE functions and an IDG method for elliptic interface problems that achieve optimal H1 and L2 convergence with interface-cut-independent constants and robust matrix conditioning.
Constructs p-robust trace liftings on tetrahedral meshes for stable discrete harmonic extensions and boundary-preserving hp interpolation.
citing papers explorer
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Owner-selected bubble transforms and coefficient-robust Schwarz preconditioners for variable-degree $hp$ finite elements
Owner-selected Falk-Winther bubble transforms provide L2- and H1-stable, degree-preserving decompositions for variable-degree hp finite elements, enabling hp-uniform additive Schwarz preconditioners for conforming reaction-diffusion and fitted-interface problems.
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The Immersed Discontinuous Galerkin Method for Elliptic Interface Problems
Develops explicit IFE functions and an IDG method for elliptic interface problems that achieve optimal H1 and L2 convergence with interface-cut-independent constants and robust matrix conditioning.
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$p$-Robust Trace Liftings for Discrete Harmonic Extensions and Boundary-Preserving $hp$ Interpolation on Tetrahedral Meshes
Constructs p-robust trace liftings on tetrahedral meshes for stable discrete harmonic extensions and boundary-preserving hp interpolation.