| Abstract: |
| The Onsager variational principle is a fundamental law for irreversible processes in non-equilibrium statistical physics. It has been used to model many complicated phenomena in soft matter. By using the Onsager principle, one can formulate partial differential equation for diverse gradient flow systems. In this talk, we will show it also acts as a natural framework for constructing energy-stable time discretization schemes. It provides a robust basis for developing numerical schemes that uphold crucial physical properties. Within this framework, several widely used schemes emerge naturally, showing its versatility and applicability. |
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