Journal of the Korean Society for Industrial and Applied Mathematics

  • 제13권3호
  • /
  • Pages.169-180
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  • 2009
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
권호 표지

A PRIORI ERROR ESTIMATES OF A DISCONTINUOUS GALERKIN METHOD FOR LINEAR SOBOLEV EQUATIONS

  • Ohm, Mi-Ray (DIVISION OF INFORMATION SYSTEMS ENGINEERING, DONGSEO UNIVERSITY) ;
  • Shin, Jun-Yong (DIVISION OF MATHEMATICAL SCIENCES, PUKYONG NATIONAL UNIVERSITY) ;
  • Lee, Hyun-Young (DEPARTMENT OF MATHEMATICS, KYUNGSUNG UNIVERSITY)
  • 투고 : 2009.03.03
  • 심사 : 2009.06.16
  • 발행 : 2009.09.25
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초록

A discontinuous Galerkin method with interior penalty terms is presented for linear Sobolev equation. On appropriate finite element spaces, we apply a symmetric interior penalty Galerkin method to formulate semidiscrete approximate solutions. To deal with a damping term $\nabla{\cdot}({\nabla}u_t)$ included in Sobolev equations, which is the distinct character compared to parabolic differential equations, we choose special test functions. A priori error estimate for the semidiscrete time scheme is analyzed and an optimal $L^\infty(L^2)$ error estimation is derived.

키워드

과제정보

연구 과제 주관 기관 : Kyungsung University

참고문헌

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