Abstract
In this paper, we present a new hybrid high-order method for the Sobolev equation. For a given positive integer k, we adopt the Pk polynomials to approximate the discrete unknown solutions on mesh elements and faces. In our method, we use reconstruction to formulate the gradient term and add suitable stabilization term to enforce the stability and high order accuracy. We analyze the full-discrete formulation of the hybrid high-order method. The stability, energy error estimate with k+1 order and L2 estimate with k+2 order are proved. At last, numerical results show the efficiency of our method.
Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
