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A priori hp-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations
Affiliation:1. Department of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, Al-Khod 123, Muscat, Oman;2. Department of Mathematics, Industrial Mathematics Group, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India;3. Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani Campus, Rajasthan 333031, India;1. School of Materials Science and Engineering, Shandong University, Jinan 250061, China;2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;3. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong;1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, PR China;2. Department of Mathematical Sciences, Michigan Technological University, Houghton, MI 49931, United States;1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;2. Chongqing Key Laboratory of Social Economic and Applied Statistics, Chongqing Technology and Business University, Chongqing 400067, China
Abstract:
Keywords:Local discontinuous Galerkin method  Linear second order hyperbolic integro-differential equation  Nonstandard formulation  Semidiscrete and completely discrete schemes  Mixed type Ritz–Volterra projection  Role of stabilizing parameters  Order of convergence  Numerical experiments
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