A Wavelet-Based Adaptive Finite Element Method for the Stokes Problems
نویسندگان
چکیده
In this work, we present the mathematical formulation of new adaptive multiresolution method for Stokes problems highly viscous materials arising in computational geodynamics. The is based on particle-in-cell approach—the system solved a static Eulerian finite element grid and material properties are carried space by Lagrangian points. adapted using wavelet-based adaptation algorithm. Both bilinear (Q1P0, Q1Q1) biquadratic (Q2P−1) mixed approximations supported. proposed illustrated number linear nonlinear two-dimensional benchmark geophysical relevance. results numerical simulations an excellent agreement with those obtained non-adaptive grids analytical solutions, while requirements few orders magnitude less compared to terms both time memory usage.
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ژورنال
عنوان ژورنال: Fluids
سال: 2022
ISSN: ['2311-5521']
DOI: https://doi.org/10.3390/fluids7070221