Latest Research in Numerical Analysis

Top Research Topics in Numerical Analysis

• Numerical Analysis — 8 papers
• Model Reduction and Neural Networks — 5 papers
• Machine Learning — 5 papers
• Elasticity and Material Modeling — 4 papers
• Numerical methods in engineering — 4 papers
• Materials Science — 3 papers
• Nonlocal and gradient elasticity in micro/nano structures — 3 papers
• Cellular and Composite Structures — 3 papers
• Tunneling and Rock Mechanics — 2 papers
• Computational Engineering, Finance, and Science — 2 papers

Highest-Cited Papers

1. Analysis of the Wrinkle Behavior of Creased Membranes Considering Concentrated Residual Stress
2. Heterogeneous Geometry for Heterogeneous Rock: Cobweb, Beehive Hemisphere, and Compound Eye Topologies as Boring Tool Face Design Principles
3. To underpredict or to overpredict an LBA or MNA, that is the question (a brief note on the LBA-MNA design method of EN 1993-1-6:2025)
4. Heterogeneous Geometry for Heterogeneous Rock: Cobweb, Beehive Hemisphere, and Compound Eye Topologies as Boring Tool Face Design Principles
5. Beyond PINNs: A Unified Gauss--Newton and Petrov--Galerkin Framework for Neural and Hybrid PDE Solvers
6. Constrained weak identification of Allen--Cahn free energies with surface-tension calibration
7. Observable history interactions in path-dependent plasticity: response-space estimability and constitutive architecture discrimination
8. Tribological modeling and numerical simulation of textured elliptical contact surface of ball bearings
9. On representation of macroscopic crack in periodic fine-scale discrete mechanical models
10. A time explicit multiscale framework for heterogeneous elastic wave propagation based on multipoint stress discretization
11. Dimension Reduction for Gradient Damage Models in Slender Rods
12. A Non-intrusive Approach for the Imposition of Strong Dirichlet Boundary Conditions in Unfitted Boundary Meshes
13. A hierarchy of thermodynamics learning frameworks for inelastic constitutive modeling
14. Shape calculus and automatic differentiation for multi-phase level-set topology optimisation with unfitted finite elements
15. A Cover-based Enhanced Direct Search Approach for Contact Detection of Convex Polyhedral Blocks and Its Application with 3D DDA
16. Data-Driven Cohesive Zone Modeling within the Generalized Standard Materials Framework
17. Learning mesh-free discrete differential operators with self-supervised graph neural networks
18. The deep operator finite element method: A discrete variational neural operator for elasticity under variable loading
19. Mechanical Property Prediction of Multitopology Composite Corrugated Structures Using Machine Learning Surrogate
20. Beyond empirical models: Discovering constitutive laws in solids with graph-based equation discovery