A high-order HDG method for the Biot's consolidation model
arXiv:1804.1032949 citationsh-index: 20
AI Analysis
This work addresses the need for accurate numerical methods for poroelasticity problems, but the contribution is incremental as it extends existing HDG techniques to a specific model.
The paper proposes a high-order HDG method for the Biot's consolidation model in poroelasticity, providing optimal error analysis for semi-discrete and full-discrete schemes, with numerical tests demonstrating performance.
We propose a novel high-order HDG method for the Biot's consolidation model in poroelasticity. We present optimal error analysis for both the semi-discrete and full-discrete (combined with temporal backward differentiation formula) schemes. Numerical tests are provided to demonstrate the performance of the method.