메뉴 건너뛰기




Volumn 167, Issue 1, 2001, Pages 22-38

Application of Vector Calculus to Numerical Simulation of Continuum Mechanics Problems

Author keywords

Continuum mechanics; Finite difference; Finite element; Finite volume; Numerical simulation; Object oriented programming; Vector tensor calculus

Indexed keywords

COMPUTER SIMULATION LANGUAGES; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; MODELING LANGUAGES; NUMERICAL MODELS; OBJECT ORIENTED PROGRAMMING; TENSORS; VECTORS;

EID: 0345856572     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6653     Document Type: Article
Times cited : (17)

References (19)
  • 2
    • 0040006467 scopus 로고
    • Approximation of finite difference operators on a mesh of dirichlet cells
    • A. Solov'ev, E. Solov'eva, V. Tishkin, M. Shashkov, and A. Favorsskii, Approximation of finite difference operators on a mesh of dirichlet cells, Diff. Eq. 22, 881 (1986).
    • (1986) Diff. Eq. , vol.22 , pp. 881
    • Solov'ev, A.1    Solov'eva, E.2    Tishkin, V.3    Shashkov, M.4    Favorsskii, A.5
  • 4
    • 0031071242 scopus 로고    scopus 로고
    • Natural discretizations for the divergence, gradient, and curl on logically rectangular grids
    • J. M. Hyman and M. Shashkov, Natural discretizations for the divergence, gradient, and curl on logically rectangular grids, Int. J. Comput. Math. Appl. 33, 81 (1997).
    • (1997) Int. J. Comput. Math. Appl. , vol.33 , pp. 81
    • Hyman, J.M.1    Shashkov, M.2
  • 5
    • 0032167141 scopus 로고    scopus 로고
    • The approximation of boundary conditions for mimetic finite difference methods
    • M. Shashkov and J. Hyman, The approximation of boundary conditions for mimetic finite difference methods, Comput. Math. Appl. 36, 79 (1998).
    • (1998) Comput. Math. Appl. , vol.36 , pp. 79
    • Shashkov, M.1    Hyman, J.2
  • 6
    • 0002058288 scopus 로고    scopus 로고
    • The orthogonal decomposition theorems for mimetic finite difference methods
    • M. Shashkov and J. Hyman, The orthogonal decomposition theorems for mimetic finite difference methods, SIAM J. Numer. Anal. 36, 788 (1999).
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 788
    • Shashkov, M.1    Hyman, J.2
  • 7
    • 0031333803 scopus 로고    scopus 로고
    • The adjoint operators for natural discretizations for the divergence, gradient and curl on locally rectangular grids
    • M. Shashkov and J. Hyman, The adjoint operators for natural discretizations for the divergence, gradient and curl on locally rectangular grids, IMACS J. Appl. Numer. Math. 25, 413 (1997).
    • (1997) IMACS J. Appl. Numer. Math. , vol.25 , pp. 413
    • Shashkov, M.1    Hyman, J.2
  • 8
    • 0003731729 scopus 로고    scopus 로고
    • Conservative Finite-Difference Methods on General Grids
    • CRC Press, New York
    • M. Shashkov, Conservative Finite-Difference Methods on General Grids, Symbolic and Numeric Computation Series (CRC Press, New York, 1996).
    • (1996) Symbolic and Numeric Computation Series
    • Shashkov, M.1
  • 9
    • 0000142136 scopus 로고    scopus 로고
    • The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
    • E. J. Caramana, D. E. Burton, M. Shashkov, and P. P. Whalen, The construction of compatible hydrodynamics algorithms utilizing conservation of total energy, J. Comput. Phys. 146, 227 (1998).
    • (1998) J. Comput. Phys. , vol.146 , pp. 227
    • Caramana, E.J.1    Burton, D.E.2    Shashkov, M.3    Whalen, P.P.4
  • 10
    • 0040006469 scopus 로고
    • Employment of the reference-operator method in the construction of finite-difference analogs of tensor operations
    • A. Favorskii, A. Samarskii, M. Shashkov, and V. Tishkin, Employment of the reference-operator method in the construction of finite-difference analogs of tensor operations, Diff. Eq. 18, 881 (1982).
    • (1982) Diff. Eq. , vol.18 , pp. 881
    • Favorskii, A.1    Samarskii, A.2    Shashkov, M.3    Tishkin, V.4
  • 12
    • 0001367435 scopus 로고
    • Support-operators finite-difference algorithms for general elliptic problems
    • M. Shashkov and S. Steinberg, Support-operators finite-difference algorithms for general elliptic problems, J. Comput. Phys. 118, 131 (1995).
    • (1995) J. Comput. Phys. , vol.118 , pp. 131
    • Shashkov, M.1    Steinberg, S.2
  • 13
    • 0030525010 scopus 로고    scopus 로고
    • Solving diffusion equations with rough coefficients in rough grids
    • M. Shashkov and S. Steinberg, Solving diffusion equations with rough coefficients in rough grids, J. Comput. Phys. 129, 383 (1996).
    • (1996) J. Comput. Phys. , vol.129 , pp. 383
    • Shashkov, M.1    Steinberg, S.2
  • 14
    • 0000536753 scopus 로고    scopus 로고
    • The numerical solution of diffusion problems in strongly Heterogeneous non-isotropic Materials
    • J. Hyman, M. Shashkov, and S. Steinberg, The numerical solution of diffusion problems in strongly Heterogeneous non-isotropic Materials, J. Comput. Phys. 132, 130 (1997).
    • (1997) J. Comput. Phys. , vol.132 , pp. 130
    • Hyman, J.1    Shashkov, M.2    Steinberg, S.3
  • 15
    • 0013349695 scopus 로고
    • Flux-corrected transport in a moving grid
    • K. Salari and S. Steinberg, Flux-corrected transport in a moving grid, J. Comput. Phys. 111, 24 (1994).
    • (1994) J. Comput. Phys. , vol.111 , pp. 24
    • Salari, K.1    Steinberg, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.