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math.NA2026
Beyond Taylor: Divergence-Based Functional Expansions and Their Application to Numerical Integration
Junping Wang
This paper introduces a new functional expansion framework that extends classical ideas beyond the Taylor series. Unlike traditional Taylor expansions based on local polynomial app…
math.NA2026
A Generalized Weak Galerkin Method for Linear Elasticity with Nonpolynomial Approximations
Junping Wang, Yue Wang
This paper presents a generalized weak Galerkin (gWG) finite element method for linear elasticity problems on general polygonal and polyhedral meshes. The proposed framework is fle…