Introduces an admissible minimizing-movement framework for parametric FEM approximations of geometric gradient flows that recovers classical BGN and MDR schemes, adds two new variants, and proves unconditional energy stability.
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Low-rank structure in HBVM stage equations is exploited via Krylov projection for linear cases and Newton-Krylov with adaptive time-stepping for nonlinear cases, shown efficient on semi-discretized wave equations.
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A minimizing-movement framework for geometric gradient flows with admissible tangential motion
Introduces an admissible minimizing-movement framework for parametric FEM approximations of geometric gradient flows that recovers classical BGN and MDR schemes, adds two new variants, and proves unconditional energy stability.
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Low-Rank Solvers for Energy-Conserving Hamiltonian Boundary Value Methods
Low-rank structure in HBVM stage equations is exploited via Krylov projection for linear cases and Newton-Krylov with adaptive time-stepping for nonlinear cases, shown efficient on semi-discretized wave equations.