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math.NA2024
Robust Multiscale Methods for Helmholtz equations in high contrast heterogeneous media
Xingguang Jin, Changqing Ye, Eric T. Chung
In this paper, we provide the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to solve Helmholtz equations in heterogeneous medium. This no…
math.NA2024
Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems
Eric T. Chung, Patrick Ciarlet, Xingguang Jin +1
The mathematical formulation of sign-changing problems involves a linear second-order partial differential equation in the divergence form, where the coefficient can assume positiv…
math.NA2024
Numerical analysis of a FE/SAV scheme for a Caginalp phase field model with mechanical effects in stereolithography
Xingguang Jin, Kei Fong Lam, Changqing Ye
In this work we propose a phase field model based on a Caginalp system with mechanical effects to study the underlying physical and chemical processes behind stereolithography, whi…