메뉴 건너뛰기




Volumn 32, Issue 2, 2007, Pages 175-199

A discontinuous Galerkin scheme based on a space-time expansion. I. Inviscid compressible flow in one space dimension

Author keywords

Arbitrary order; Cauchy Kovalevskaya procedure; Discontinuous Galerkin; Generalized Riemann problems; Local time stepping; Space time expansion

Indexed keywords

ARBITRARY ORDER; CAUCHY-KOVALEVSKAYA-PROCEDURES; DISCONTINUOUS GALERKIN; GENERALIZED RIEMANN PROBLEMS; LOCAL TIME-STEPPING; SPACE-TIME EXPANSION;

EID: 34547269774     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-007-9128-x     Document Type: Article
Times cited : (96)

References (16)
  • 2
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
    • Cockburn, B., and Shu, C.-W (1989). TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. Mathem Comput. 52, 411-435.
    • (1989) Mathem Comput , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.2
  • 4
    • 35348816751 scopus 로고    scopus 로고
    • An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes V: Local time stepping and p-adaptivity
    • submitted to
    • Dumbser, M., Kaeser, M., and Toro, E. F. An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes V: local time stepping and p-adaptivity. submitted to Geophysical Journal International.
    • Geophysical Journal International
    • Dumbser, M.1    Kaeser, M.2    Toro, E.F.3
  • 5
    • 33745039984 scopus 로고    scopus 로고
    • Arbitrary high order discontinuous Galerkin schemes
    • Cordier, S, Goudon, T, Gutnic, M, and Sonnendrucker, E, eds, Numerical Methods for Hyperbolic and Kinetic Problems, EMS Publishing House, Zürich, pp
    • Dumbser, M., and Munz, C.-D. (2005). Arbitrary high order discontinuous Galerkin schemes. In Cordier, S., Goudon, T., Gutnic, M., and Sonnendrucker, E. (eds). Numerical Methods for Hyperbolic and Kinetic Problems, IRMA Series in Mathematics and Theoretical Physics, EMS Publishing House, Zürich, pp. 295-333.
    • (2005) IRMA Series in Mathematics and Theoretical Physics , pp. 295-333
    • Dumbser, M.1    Munz, C.-D.2
  • 6
    • 33745038766 scopus 로고    scopus 로고
    • Building blocks for arbitrary high-order discontinuous Galerkin schemes
    • Dumbser, M., and Munz, C. D. (2006). Building blocks for arbitrary high-order discontinuous Galerkin schemes. J. Sci. Comput. 27, 215-230.
    • (2006) J. Sci. Comput , vol.27 , pp. 215-230
    • Dumbser, M.1    Munz, C.D.2
  • 7
    • 0031574568 scopus 로고    scopus 로고
    • Adaptive local refinement with octree load balancing for the parallel solution of three-dimensional conservation laws
    • Flaherty, J. E., Loy, R. M., Shephard, M. S., Szymanski, B. K., Teresco, J. D., and Ziantz, L. H. (1997). Adaptive local refinement with octree load balancing for the parallel solution of three-dimensional conservation laws. J. Parallel Distributed Comput. 47(2), 139-152.
    • (1997) J. Parallel Distributed Comput , vol.47 , Issue.2 , pp. 139-152
    • Flaherty, J.E.1    Loy, R.M.2    Shephard, M.S.3    Szymanski, B.K.4    Teresco, J.D.5    Ziantz, L.H.6
  • 8
    • 33749725182 scopus 로고
    • Uniformly high-order accurate essentially non-oscillatory schemes III
    • Harten, A., Engquist, B., Osher, S., and Chakravarthy, S. R. (1987). Uniformly high-order accurate essentially non-oscillatory schemes III. J. Comput. Phys. 71, 231-303.
    • (1987) J. Comput. Phys , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.R.4
  • 10
    • 0000578716 scopus 로고
    • Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics I: One dimensional flow
    • Klein, R. (1995). Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics I: one dimensional flow. J. Comput. Phys. 121, 213-237.
    • (1995) J. Comput. Phys , vol.121 , pp. 213-237
    • Klein, R.1
  • 12
    • 84951671794 scopus 로고
    • Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
    • Nitsche, J. A. (1971). Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Sem. Univ. Hamburg 36, 9-15.
    • (1971) Abh. Math. Sem. Univ. Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.A.1
  • 13
    • 23244459023 scopus 로고    scopus 로고
    • The discontinuous Galerkin method with Lax-Wendroff type time discretizations
    • Qiu, J., Dumbser, M., and Shu, C. W. (2005). The discontinuous Galerkin method with Lax-Wendroff type time discretizations. Comput. Methods Appl. Mech. Eng. 194, 4528-4543.
    • (2005) Comput. Methods Appl. Mech. Eng , vol.194 , pp. 4528-4543
    • Qiu, J.1    Dumbser, M.2    Shu, C.W.3
  • 15
    • 0008392886 scopus 로고    scopus 로고
    • ADER: Arbitrary high-order Godunov approach
    • Titarev, V. A., and Toro, E. F. (2002). ADER: arbitrary high-order Godunov approach. J. Sci. Comput. 17(1-4), 609-618.
    • (2002) J. Sci. Comput , vol.17 , Issue.1-4 , pp. 609-618
    • Titarev, V.A.1    Toro, E.F.2
  • 16
    • 0036865807 scopus 로고    scopus 로고
    • Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows: I. general formulation
    • van der Vegt, J. J. W., and van der Veil, H. (2002). Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows: I. general formulation. J. Comput. Phys. 182(2), 546-585.
    • (2002) J. Comput. Phys , vol.182 , Issue.2 , pp. 546-585
    • van der Vegt, J.J.W.1    van der Veil, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.