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Volumn 52, Issue 3, 2012, Pages 559-569

Local coarsening of simplicial finite element meshes generated by bisections

Author keywords

Adaptivity; Bisection; Coarsening; Finite elements; Partial differential equations

Indexed keywords


EID: 84865720173     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-012-0378-0     Document Type: Article
Times cited : (7)

References (8)
  • 1
    • 2442452617 scopus 로고    scopus 로고
    • Adaptive finite element methods with convergence rates
    • Binev, P., Dahmen, W., DeVore, R.: Adaptive finite element methods with convergence rates. Numer. Math. 97, 219-268 (2004).
    • (2004) Numer. Math. , vol.97 , pp. 219-268
    • Binev, P.1    Dahmen, W.2    Devore, R.3
  • 2
    • 54249162100 scopus 로고    scopus 로고
    • Quasi-optimal convergence rate for an adaptive finite element method
    • Cascon, J. M., Kreuzer, C., Nochetto, R. H., Siebert, K. G.: Quasi-optimal convergence rate for an adaptive finite element method. SIAM J. Numer. Anal. 46, 2524-2550 (2008).
    • (2008) SIAM J. Numer. Anal. , vol.46 , pp. 2524-2550
    • Cascon, J.M.1    Kreuzer, C.2    Nochetto, R.H.3    Siebert, K.G.4
  • 3
    • 78650181994 scopus 로고    scopus 로고
    • A coarsening algorithm on adaptive grids by newest vertex bisection and its applications
    • Chen, L., Zhang, C.: A coarsening algorithm on adaptive grids by newest vertex bisection and its applications. J. Comput. Math. 28, 767-789 (2010).
    • (2010) J. Comput. Math. , vol.28 , pp. 767-789
    • Chen, L.1    Zhang, C.2
  • 4
    • 0000947789 scopus 로고
    • A recursive approach to local mesh refinement in two and three dimensions
    • Kossaczký, I.: A recursive approach to local mesh refinement in two and three dimensions. J. Comput. Appl. Math. 55, 275-288 (1994).
    • (1994) J. Comput. Appl. Math. , vol.55 , pp. 275-288
    • Kossaczký, I.1
  • 5
    • 0000430187 scopus 로고
    • Local bisection refinement for n-simplicial grids generated by reflection
    • Maubach, J.: Local bisection refinement for n-simplicial grids generated by reflection. SIAM J. Sci. Comput. 16, 210-227 (1995).
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 210-227
    • Maubach, J.1
  • 6
    • 34250183086 scopus 로고    scopus 로고
    • Optimality of a standard adaptive finite element method
    • Stevenson, R.: Optimality of a standard adaptive finite element method. Found. Comput. Math. 7, 245-269 (2007).
    • (2007) Found. Comput. Math. , vol.7 , pp. 245-269
    • Stevenson, R.1
  • 7
    • 38849110048 scopus 로고    scopus 로고
    • The completion of locally refined simplicial partitions created by bisection
    • Stevenson, R.: The completion of locally refined simplicial partitions created by bisection. Math. Comput. 77, 227-241 (2008).
    • (2008) Math. Comput. , vol.77 , pp. 227-241
    • Stevenson, R.1
  • 8
    • 0031374455 scopus 로고    scopus 로고
    • An algorithm for adaptive mesh refinement in n dimensions
    • Traxler, C. T.: An algorithm for adaptive mesh refinement in n dimensions. Computing 59, 115-137 (1997).
    • (1997) Computing , vol.59 , pp. 115-137
    • Traxler, C.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.