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Advanced Mathematical Modeling in Engineering

This cluster of papers focuses on the development and application of multiscale methods for analyzing heterogeneous systems, particularly in the context of homogenization, finite element simulations, and porous media flow. The papers cover topics such as upscaling techniques, subsurface flow simulation, coarse-grained computation, and the use of microscopic simulators to perform system-level analysis.

102.7K works worldwide1.3M citations
Multiscale MethodsHeterogeneousHomogenizationFinite ElementPorous MediaElliptic ProblemsUpscaling TechniquesSubsurface FlowCoarse-Grained ComputationMicroscopic Simulators

Journals publishing in this area

Articles on Scinovex in this research area

8 articles, most cited first

  1. Numerical modeling of water flow dynamics in heterogeneous subsurface porous media using the finite element method
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  2. Parametric analysis and comparative evaluation of finite element modeling for water flow in heterogeneous subsurface porous media
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  3. Impact of porosity and permeability variations on water flow dynamics in heterogeneous subsurface porous media: A finite element analysis
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  4. Existence of solutions for some second order equations with nonhomogeneous boundary conditions and a function ϕ continuous on DOM(ϕ)⊂R
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  5. Reflection of plane waves in a double poroelastic diffusive medium with microtemperatures and temperature dependent properties
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  6. Asymptotic behavior of solutions of biharmonic Stefan’s problem
    International Journal of Statistics and Applied Mathematics · 2024 · 0 citations
  7. Deriving singular perturbation methods for reaction-diffusion equations with applications to great lakes thermal stratification
    International Journal of Statistics and Applied Mathematics · 2024 · 0 citations
  8. New approach to almost periodicity in to pological dynamics
    International Journal of Statistics and Applied Mathematics · 2018 · 0 citations · AI summary