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PHYSICS-BASED MULTI-TIME STEPPING ALGORITHM FOR THREE-DIMENSIONAL QUASI-STATIC ELECTROPOROELASTICITY EQUATIONS
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DOI：10.4208/ijnam2026-1011.png)
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Abstract
En 中文
Electroporoelasticity equations comprise of Maxwell's equations and Biot's equations, playing an important role in geophysical areas such as oil-gas exploration and earthquake early warning. The development of electromagnetic waves and elastic waves presents distinct time scales due to the multi-physics nature. In this paper, we propose a multi-time stepping numerical algorithm to approximate electroporoelasticity equations, in which we use a smaller time step to compute Maxwell's equations and a larger time step to calculate Biot's equations. We prove the stability of this algorithm and derive its error estimates. Numerical experiments are conducted to demonstrate the theoretical analysis.
Keywords:
Key words. Electroporoelasticity equations
multi-time stepping algorithm
finite element method
error estimates
Journal
I
IF:
0.7
Papers:
20
Citations:
731