New CG-DG schemes for hyperbolic systems achieve pointwise local conservation on arbitrary control volumes, exact pointwise satisfaction of curl and div identities, and energy conservation for linear cases via compatible discontinuous and continuous polynomial spaces.
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On structure-preserving and pointwise conservative continuous DG schemes for hyperbolic systems
New CG-DG schemes for hyperbolic systems achieve pointwise local conservation on arbitrary control volumes, exact pointwise satisfaction of curl and div identities, and energy conservation for linear cases via compatible discontinuous and continuous polynomial spaces.