Modal-coefficient error propagation analysis shows that P^K CSLDG retains optimal L2 convergence when the characteristic ODE solver order satisfies D ≥ K+1 + d/2, a weaker requirement than the global test-function analysis bound of D ≥ 2K+3+d.
Asymptotic-preserving conservative semi-Lagrangian discontinuous Galerkin schemes for the Vlasov-Poisson system in the quasi-neutral limit [J]
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Develops and analyzes CSLDG scheme with proofs of key properties and introduces SVS tensor-product splitting for improved efficiency in 2D transport problems.
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Error Analysis of Time-Dependent Test Functions in the Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
Modal-coefficient error propagation analysis shows that P^K CSLDG retains optimal L2 convergence when the characteristic ODE solver order satisfies D ≥ K+1 + d/2, a weaker requirement than the global test-function analysis bound of D ≥ 2K+3+d.
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Numerical Analysis and Dimension Splitting for A Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
Develops and analyzes CSLDG scheme with proofs of key properties and introduces SVS tensor-product splitting for improved efficiency in 2D transport problems.