Abstract
A new Lp-primal–dual weak Galerkin method (Lp-PDWG) with p>1 is proposed for the first-order transport problems. The existence and uniqueness of the Lp-PDWG numerical solution is established. In addition, the Lp-PDWG method offers a numerical solution which retains mass conservation locally on each element. An optimal order error estimate is established for the primal variable. A series of numerical results are presented to verify the efficiency and accuracy of the proposed Lp-PDWG scheme.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
