Develops a model-independent energy-based CutFEM formulation for finite-strain elasticity using automatic differentiation, with cut-independent stability analysis and convergence results for both smooth solutions and corner singularities.
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3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.NA 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
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.
PAM approximates discontinuous data via Shepard-normalized RBFs, sparse regression, and adaptive refinement to achieve small L1 error while enabling parallel subdomain solves for porous media flow problems.
citing papers explorer
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A Unified CutFEM Formulation for Finite-Strain Elasticity: Energy Minimisation and Corner Singularities
Develops a model-independent energy-based CutFEM formulation for finite-strain elasticity using automatic differentiation, with cut-independent stability analysis and convergence results for both smooth solutions and corner singularities.
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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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A Parallel and Adaptive Mesh-Free Method for Discontinuous Coefficient Fields in Heterogeneous Porous Media
PAM approximates discontinuous data via Shepard-normalized RBFs, sparse regression, and adaptive refinement to achieve small L1 error while enabling parallel subdomain solves for porous media flow problems.