The Onsager principle and structure preserving numerical schemes
Copyright policy )The Onsager principle and structure preserving numerical schemes
We present a natural framework for constructing energy-stable time discretization schemes. By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial differential equation models for diverse gradient flow systems. Furthermore, this principle 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.
- Xiamen University China (People's Republic of)
- Iowa State University United States
Variational methods applied to problems in fluid mechanics, dissipative physical systems, 65M12, 65M22, 76M30, structure preserving, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for Hamiltonian systems including symplectic integrators, optimization, Onsager principle
Variational methods applied to problems in fluid mechanics, dissipative physical systems, 65M12, 65M22, 76M30, structure preserving, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for Hamiltonian systems including symplectic integrators, optimization, Onsager principle
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