SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Journal of Scientific Computing

Volumn 15, Issue 2, 2000, Pages 197-229

High order numerical discretization for Hamilton-Jacobi equations on triangular meshes

(2) Augoula, S a Abgrall, R a

a UNIVERSITÉ BORDEAUX 1 (France)

Author keywords

monotonicity; Hamilton Jacobi equation; Numerical Hamiltonian; Pk triangulation; Viscosity solution

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; HAMILTONIANS; MAXIMUM PRINCIPLE;

TRIANGULAR MESHES;

INTERPOLATION;

EID: 0034197010 PISSN: 08857474 EISSN: None Source Type: Journal
DOI: 10.1023/A:1007633810484 Document Type: Article

Times cited : (51)

References (28)

1
- 11044226018
- Numerical discretization of boundary conditions for Hamilton-Jacobi equations
- preprint
- SIAM J. Numer. Anal.
- Abgrall, R.¹

2
- 0030521036
- Numerical discretization of first-order Hamilton-Jacobi equations on triangular meshes
- (1996) Comm. Pure Appl. Math. , pp. 1339-1373
- Abgrall, R.¹

3
- 4243344418
- Ph.D. thesis, Université de Bordeaux 1
- (2000) Simulation du suivi d'un front de flamme dans un milieu strié homogénéisé en géométrie complexe
- Augoula, S.¹

4
- 0004834033
- High resolution for first-order Hamilton-Jacobi equations on triangular meshes
- submitted
- Numer. Math.
- Augoula, S.¹ Abgrall, R.²

5
- 0004828558
- A discontinuous projection algorithm for Hamilton-Jacobi equations
- (1999) LNCSE Spring Verlag , vol.11
- Augoula, S.¹ Abgrall, R.²

6
- 0003267441
- Solutions de Viscosité des équations de Hamilton-Jacobi
- Springer-Verlag
- (1994) Mathématiques et Applications , vol.17
- Barles, G.¹

7
- 84974753170
- Convergence of approximation schemes for fully nonlinear second order equations
- (1991) Asymptotic Analysis , pp. 271-283
- Barles, G.¹ Souganidis, P.²

8
- 0002437983
- Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
- (1998) J. Comput. Phys. , vol.1 , Issue.145 , pp. 1-40
- Barth, T.J.¹ Sethian, J.A.²

9
- 0033421722
- Direct computation of multivalued phase space solutions for Hamilton-Jacobi equations
- (1999) Comm. Pure Appl. Math. , pp. 1443-1475
- Benamou, J.-D.¹

10
- 0034505281
- High-resolution non-oscillatory central schemes for Hamilton-Jacobi equations
- (2000) SIAM J. Sci. Comp. , vol.21 , pp. 2163-2186
- Lin, C.-T.¹ Tadmor, E.²

11
- 34250457690
- n with applications to finite element methods
- (1972) Arch. Rational Mech. and Anal. , vol.46
- Ciarlet, P.¹ Raviart, P.²

12
- 84966246413
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws. II. General framework
- (1989) Math. Comp. , vol.52 , pp. 411-435
- Cockburn, B.¹ Shu, C.²

13
- 84967758647
- Viscosity solution of Hamilton-Jacobi equations
- (1983) Trans. Amer. Math. Soc. , vol.277 , Issue.1
- Crandall, M.¹ Lions, P.²

14
- 84966245867
- Two approximations of solutions of Hamilton-Jacobi equations
- (1984) Math. Comp. , vol.43 , pp. 1-49
- Crandall, M.¹ Lions, P.²

15
- 84968507121
- Some properties of viscosity solutions of Hamilton-Jacobi equations
- (1984) Trans. Amer. Math. Soc. , vol.282 , Issue.2
- Crandall, M.¹ Evans, L.² Lions, P.³

16
- 0023329384
- Uniformly high order accurate non-oscillatory schemes
- (1987) I. SIAM J. Numer. Anal. , vol.24 , pp. 279-309
- Harten, A.¹ Osher, S.²

17
- 33749725182
- Uniformly high order accurate essentially non-oscillatory scheme III
- (1987) J. Comput. Phys. , vol.71
- Harten, A.¹ Engquist, B.² Osher, S.³ Chakravarthy, S.⁴

18
- 0033296133
- A discontinuous Galerkin scheme for Hamilton-Jacobi equations
- (1999) SIAM J. Sci. Comp. , vol.21 , pp. 666-690
- Hu, C.¹ Shu, C.²

19
- 0034503787
- Weighted ENO schemes for Hamilton-Jacobi equations
- (2000) SIAM J. Sci. Comp. , vol.21 , pp. 2126-2143
- Jiang, G.¹ Peng, D.²

20
- 84897790352
- SRM ballistic analysis by coupling bidimensionnal surface burnback and pressure field computations
- (1998) AIAA , vol.3968
- Le Breton, P.¹ Ribéreau, D.² Godfroy, F.³ Abgrall, R.⁴ Augoula, S.⁵

21
- 0004832580
- 1 stability and error estimates for Hamilton-Jacobi equations
- to appear
- (2000) Numer. Math.
- Lin, C.-T.¹ Tadmor, E.²

22
- 21844506272
- Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations
- (1995) Numer. Math. , vol.69 , pp. 441-470
- Lions, P.¹ Souganidis, P.²

23
- 0026204106
- High-order essentially non-oscillatory schemes for Hamilton-Jacobi equations
- (1991) SIAM J. Numer. Anal. , vol.28 , Issue.4
- Osher, S.¹ Shu, C.²

24
- 0026880997
- A viscosity solution approach to shape-from-shading
- (1992) SIAM J. Numer. Anal. , vol.29 , Issue.3 , pp. 867-884
- Rouy, E.¹ Tourin, A.²

25
- 84972535294
- Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
- (1990) J. Differential Geom. , vol.1 , Issue.31 , pp. 131-161
- Sethian, J.A.¹

26
- 0000997075
- Numerical passage from systems of conservation laws to Hamilton-Jacobi equations
- (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2385-2404
- Jin, S.¹ Xin, Z.²

27
- 45449125925
- Efficient implementation of essentially non-oscillatory shock-capturing scheme
- (1988) J. Comput. Phys.
- Shu, C.¹ Osher, S.²

28
- 46549091075
- Approximation schemes for viscosity solution of Hamilton-Jacobi equations
- (1985) J. Differential Equations , vol.59 , pp. 1-43
- Souganidis, P.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.